Method, device and equipment for acquiring gravitational wave signal and medium
By acquiring and updating the orbital, mass, and structural parameters of binary white dwarfs, and combining them with termination conditions, the problem of low accuracy of gravitational wave signals in existing technologies has been solved, enabling precise acquisition and processing of signals in space gravitational wave detectors.
Patent Information
- Application Number
- CN202510358024.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-03-25
- Publication Date
- 2026-01-27
- Estimated Expiration
- 2045-03-25
AI Technical Summary
Existing technologies for space gravitational wave detectors in the 0.1-1000 mHz frequency band cannot systematically consider the influence of the orbital motion of binary white dwarfs and the structural evolution of white dwarfs on gravitational wave signals under the condition of conservation of angular momentum, resulting in low accuracy of the acquired gravitational wave signals.
By acquiring the orbital, mass, and structural parameters of the binary white dwarf star, updating the target radius, determining the second mass, structural, and orbital parameters, and combining these with termination conditions, gravitational wave signals from the binary white dwarf star and its accretion disk are accurately acquired. Parameters are then corrected using a preset mapping relationship, improving the accuracy and reliability of signal acquisition.
It has achieved precise acquisition of gravitational wave signals from binary white dwarfs, improving the accuracy and reliability of the signals, and is suitable for data processing by space gravitational wave detectors.
Smart Images

Figure CN120214945B_ABST
Abstract
Description
Technical Field
[0001] This disclosure relates to the field of astrophysics, specifically to methods, apparatus, equipment, and media for acquiring gravitational wave signals. Background Technology
[0002] Space-based gravitational wave detectors focus on the gravitational wave signal band of approximately 0.1–1000 MHz. With the development of science and technology, gravitational wave detectors have entered a new stage in data processing. Matched filtering is an important data processing method for gravitational wave detectors, and binary white dwarf gravitational wave signals are important input data for matched filtering. Therefore, efficiently calculating a large number of resolvable binary white dwarf gravitational wave signals and establishing a signal template library are current research priorities.
[0003] Currently, the data processing pipeline used by ground-based laser interferometer gravitational wave observatories is applicable to a frequency band of approximately 1-1000 Hz. However, for space-based gravitational wave detectors in the frequency band of approximately 0.1-1000 mHz, the related technologies mainly use analytical calculations based on binary white dwarf theoretical templates. These calculations cannot systematically consider the influence of the orbital motion of binary white dwarfs and the structural evolution of white dwarfs on the gravitational wave signals of binary white dwarfs under the condition of conservation of angular momentum, resulting in low accuracy of the acquired gravitational wave signals. Summary of the Invention
[0004] In view of this, the present disclosure provides a method, apparatus, device and medium for acquiring gravitational wave signals to solve the problem of low accuracy of gravitational wave signals.
[0005] In a first aspect, this disclosure provides a method for obtaining gravitational wave signals, the method comprising:
[0006] Obtain the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star;
[0007] The target radius is determined based on the first orbital parameters and the first mass parameters;
[0008] The target parameter in the first structural parameter is compared with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter.
[0009] Based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf is obtained, or based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk are obtained, and the gravitational wave signal of the binary white dwarf or the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk are stored in the gravitational wave signal set;
[0010] If the termination condition is not met, the process is repeated from the point where the target radius is determined based on the first orbital parameters and the first mass parameters until the termination condition is met, resulting in a set of gravitational wave signals to be output. The termination condition is determined by both the first and second conditions. The first condition is determined by the current mass parameters, current structure parameters, and current orbital parameters. The second condition indicates the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signal determined each time.
[0011] In this embodiment, the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star are obtained; a target radius is determined based on the first orbital parameters and first mass parameters; the target parameter in the first structural parameters is compared with the target radius to determine the second mass parameters, second structural parameters, and second orbital parameters; based on the second mass parameters and second orbital parameters, a binary white dwarf gravitational wave signal or a binary white dwarf gravitational wave signal and an accretion disk gravitational wave signal are obtained; it is determined whether a termination condition has been met; if the termination condition has not been met, the process is repeated from determining the target radius based on the first orbital parameters and first mass parameters until the termination condition is met, resulting in a set of gravitational wave signals to be output. Because this embodiment updates the orbital parameters, mass parameters, and structural parameters, it can accurately acquire gravitational wave signals.
[0012] In one optional implementation, the target parameter in the first structural parameters is compared with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter, including:
[0013] When the target parameter is less than the target radius, the first mass parameter is determined as the second mass parameter, the first structural parameter is determined as the second structural parameter, and the first orbital parameter is determined as the second orbital parameter.
[0014] If the target parameter is greater than or equal to the target radius, the first mass parameter, the first structural parameter, and the first orbital parameter are updated to obtain the second mass parameter, the second structural parameter, and the second orbital parameter.
[0015] In this embodiment of the disclosure, by processing the first orbital parameter, the first mass parameter, and the first structural parameter according to the relationship between the target parameter and the target radius, it is possible to correct the orbital parameter, the mass parameter, and the structural parameter, and accurately track the changes in the physical state of the binary white dwarf at different evolution stages.
[0016] In one optional implementation, updating the first mass parameter, the first structural parameter, and the first orbital parameter to obtain the second mass parameter, the second structural parameter, and the second orbital parameter includes:
[0017] Based on the first orbital parameters, the first mass parameters, the first structural parameters, and the target radius, the accretion material proportion coefficient is obtained;
[0018] The first mass parameter and the first orbital parameter are updated based on the accretion material ratio coefficient to obtain the second mass parameter and the second orbital parameter;
[0019] The second mass parameter is matched with a preset mapping relationship to update the first structural parameter, thereby obtaining the second structural parameter. The preset mapping relationship is used to characterize the mapping relationship between the mass parameter and the structural parameter.
[0020] In this embodiment of the disclosure, by updating the first mass parameter and the first orbital parameter, the mass parameter and orbital parameter can be corrected. By using a preset mapping relationship and the second mass parameter to update the first structural parameter, the first structural parameter can be corrected, thereby improving the efficiency of acquiring gravitational wave signals.
[0021] In one optional implementation, based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf and the accretion disk gravitational wave signal are obtained, including:
[0022] When the accretion material ratio is greater than a preset value, the accretion disk parameters are obtained based on the second mass parameter and the second orbital parameter. The preset value is used to determine whether a binary white dwarf star forms an accretion disk.
[0023] Based on the accretion disk parameters, the second mass parameter, and the second orbital parameter, the accretion disk gravitational wave signal is obtained;
[0024] Based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf was obtained.
[0025] In this embodiment of the disclosure, by acquiring the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk based on the second mass parameter and the second orbital parameter when the accretion mass ratio is greater than a preset value, the gravitational wave signal can be accurately acquired, thereby improving the accuracy and reliability of the gravitational wave signal.
[0026] In one alternative implementation, the method further includes:
[0027] When the accretion mass ratio is less than or equal to a preset value, the gravitational wave signal of the binary white dwarf is obtained based on the second mass parameter and the second orbital parameter.
[0028] In this embodiment of the disclosure, by obtaining the gravitational wave signal of the binary white dwarf star based on the second mass parameter and the second orbital parameter when the accretion mass ratio is less than or equal to a preset value, the gravitational wave signal can be obtained accurately, thereby improving the accuracy and reliability of the gravitational wave signal.
[0029] In one optional implementation, the binary white dwarf gravitational wave signal is obtained based on the second mass parameter and the second orbital parameter, including:
[0030] Based on the second mass parameter and the second orbital parameter, the mass quadrupole moment of the binary white dwarf is obtained;
[0031] Based on the mass quadrupole moment of a binary white dwarf, the amplitude and frequency of gravitational waves from the binary white dwarf are obtained.
[0032] The gravitational wave power of the binary white dwarf star is obtained based on the amplitude and frequency of the binary white dwarf star gravitational wave.
[0033] Frequency domain analysis was performed on the amplitude, frequency, and power of the gravitational waves from the binary white dwarf star to obtain the gravitational wave signal.
[0034] In this embodiment of the disclosure, the amplitude, frequency, and power of the gravitational wave from the binary white dwarf are obtained based on the second mass parameter and the second orbital parameter, and the gravitational wave signal from the binary white dwarf is obtained by performing frequency domain analysis. This enables the accurate acquisition of the gravitational wave signal from the binary white dwarf, thereby improving the accuracy and reliability of the gravitational wave signal from the binary white dwarf.
[0035] In one alternative implementation, after determining whether the termination condition has been met, the method further includes:
[0036] When the termination condition is met, a set of gravitational wave signals is output.
[0037] In this embodiment of the disclosure, by outputting a set of gravitational wave signals when the termination condition is met, the gravitational wave signals of the binary white dwarf can be accurately acquired, and a complete set of gravitational wave signals can be obtained.
[0038] Secondly, this disclosure provides a device for acquiring gravitational wave signals, the device comprising:
[0039] The acquisition module is used to acquire the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star.
[0040] The first determining module is used to determine the target radius based on the first orbital parameters and the first mass parameters;
[0041] The second determining module is used to compare the target parameter in the first structural parameter with the target radius to determine the second mass parameter, the second structural parameter and the second orbital parameter.
[0042] The first obtaining module is used to obtain the gravitational wave signal of the binary white dwarf star based on the second mass parameter and the second orbital parameter, or to obtain the gravitational wave signal of the binary white dwarf star and the gravitational wave signal of the accretion disk based on the second mass parameter and the second orbital parameter, and to store the gravitational wave signal of the binary white dwarf star or the gravitational wave signal of the binary white dwarf star and the gravitational wave signal of the accretion disk into the gravitational wave signal set;
[0043] The second module is used to determine whether the termination condition has been met. If the termination condition has not been met, the process is repeated from determining the target radius based on the first orbital parameters and the first mass parameters until the termination condition is met, thus obtaining a set of gravitational wave signals to be output. The termination condition is jointly determined by the first condition and the second condition. The first condition is jointly determined by the current mass parameters, the current structure parameters, and the current orbital parameters. The second condition is used to indicate the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signals determined each time.
[0044] Thirdly, this disclosure provides a computer device, including: a memory and a processor, which are communicatively connected to each other. The memory stores computer instructions, and the processor executes the computer instructions to perform the method for acquiring gravitational wave signals described in the first aspect or any corresponding embodiment.
[0045] Fourthly, this disclosure provides a computer-readable storage medium storing computer instructions for causing a computer to execute the method for acquiring gravitational wave signals according to the first aspect or any corresponding embodiment thereof.
[0046] Fifthly, this disclosure provides a computer program product, including computer instructions for causing a computer to execute the method for acquiring gravitational wave signals according to the first aspect or any corresponding embodiment thereof. Attached Figure Description
[0047] To more clearly illustrate the technical solutions in the specific embodiments of this disclosure or the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this disclosure. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.
[0048] Figure 1This is a schematic flowchart of a method for acquiring gravitational wave signals according to an embodiment of the present disclosure;
[0049] Figure 2 This is a schematic flowchart of another method for obtaining gravitational wave signals according to an embodiment of the present disclosure;
[0050] Figure 3 This is a schematic diagram illustrating the evolution of gravitational wave amplitude over time in a binary white dwarf star according to an embodiment of the present disclosure;
[0051] Figure 4 This is a schematic diagram illustrating the evolution of the gravitational wave power spectrum of a binary white dwarf star over time according to an embodiment of this disclosure;
[0052] Figure 5 This is a schematic diagram illustrating the time evolution of gravitational wave amplitude from a pair of white dwarfs according to an embodiment of the present disclosure;
[0053] Figure 6 This is a schematic diagram illustrating the evolution of the gravitational wave power spectrum of a binary white dwarf star over time, according to an embodiment of the present disclosure.
[0054] Figure 7 This is a schematic diagram illustrating the time evolution of gravitational wave amplitude from another pair of white dwarfs according to an embodiment of the present disclosure;
[0055] Figure 8 This is a schematic diagram illustrating the evolution of the gravitational wave power spectrum of another binary white dwarf star over time, according to an embodiment of this disclosure.
[0056] Figure 9 This is a schematic diagram illustrating the evolution of gravitational wave amplitude over time in another pair of white dwarfs according to an embodiment of the present disclosure;
[0057] Figure 10 This is a schematic diagram illustrating the evolution of the gravitational wave power spectrum of another binary white dwarf star over time according to an embodiment of the present disclosure;
[0058] Figure 11 This is a structural block diagram of a gravitational wave signal acquisition device according to an embodiment of the present disclosure;
[0059] Figure 12 This is a schematic diagram of the hardware structure of a computer device according to an embodiment of the present disclosure. Detailed Implementation
[0060] To make the objectives, technical solutions, and advantages of the embodiments of this disclosure clearer, the technical solutions of the embodiments of this disclosure will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this disclosure, and not all embodiments. Based on the embodiments of this disclosure, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this disclosure.
[0061] Space-based gravitational wave detectors focus on the gravitational wave signal band of approximately 0.1–1000 MHz. With the development of science and technology, gravitational wave detectors have entered a new stage in data processing. Matched filtering is an important data processing method for gravitational wave detectors, and binary white dwarf gravitational wave signals are important input data for matched filtering. Therefore, efficiently calculating a large number of resolvable binary white dwarf gravitational wave signals and establishing a signal template library are current research priorities.
[0062] Currently, the data processing pipeline used in ground-based laser interferometer gravitational-wave observatories operates within the frequency band of approximately 1-1000 Hz. However, for space-based gravitational-wave detectors in the approximately 0.1-1000 mHz frequency band, the binary white dwarf theoretical templates employed in related technologies primarily utilize analytical calculations. These methods cannot systematically consider the influence of the orbital motion of binary white dwarfs and the structural evolution of white dwarfs on the gravitational wave signals under conditions of angular momentum conservation, resulting in low accuracy of the acquired gravitational wave signals. Furthermore, numerical relativistic methods for simulating binary white dwarf mergers are time-consuming and inefficient.
[0063] To address the aforementioned problems, according to an embodiment of this disclosure, a method for acquiring gravitational wave signals is provided. It should be noted that the steps shown in the flowchart in the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions. Furthermore, although a logical order is shown in the flowchart, in some cases, the steps shown or described may be executed in a different order than that shown here.
[0064] This embodiment provides a method for obtaining gravitational wave signals, such as... Figure 1 As shown, Figure 1 This is a schematic flowchart of a method for acquiring gravitational wave signals according to an embodiment of the present disclosure. This process can be applied to a server and includes the following steps:
[0065] Step S101: Obtain the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star.
[0066] Optionally, in this embodiment of the disclosure, the first orbital parameter is included in the orbital parameters, which include the orbital spacing, orbital period, ellipticity, orbital phase, and orbital inclination (the orbital inclination is zero degrees when the normal to the orbital plane faces the observer). The first mass parameter is included in the mass parameters, which include the mass of each of the two white dwarfs. The first structural parameter is included in the structural parameters, which include the radius, density, and pressure of each of the two white dwarfs.
[0067] Specifically, such as Figure 2 As shown, the server can use the observation parameters of the double white dwarf star identification source as the parameter value, or it can use the default parameter value, or it can set the parameter value according to the parameter range in the program.
[0068] It should be noted that confirmed binary white dwarf sources refer to binary white dwarf star systems whose observational parameters have been obtained. Based on these observational parameters and certain assumptions, gravitational wave signals from these sources can be obtained, providing a reference for future space-based gravitational wave detection. The observational parameters for confirmed binary white dwarf star sources are obtained through observations of binary white dwarf star systems using optical, infrared, radio, or X-ray telescopes.
[0069] Furthermore, after acquiring the first orbital parameters, first mass parameters, and first structural parameters, the server can set the initial conditions for the evolution of the binary white dwarf star based on these parameters, i.e., whether matter transfer has already occurred in the initial state. The server can also pre-acquire some physical constants, including solar mass, solar radius, solar luminosity, gravitational constant, pi, speed of light, electron mass, and Planck's constant.
[0070] Step S102: Determine the target radius based on the first orbital parameters and the first mass parameters.
[0071] Optionally, in this embodiment of the disclosure, the target radius refers to the Roche lobe. In a binary white dwarf system, the Roche lobe is a teardrop-shaped region surrounding each star in the binary white dwarf. When the matter of a star extends beyond its Roche lobe, it is no longer completely bound by the star's gravity, resulting in matter transfer.
[0072] Specifically, the server obtains the mass ratio of the binary white dwarf star based on the first mass parameter, and then obtains the Roche lobe, i.e. the target radius, based on the mass ratio of the binary white dwarf star and the orbital spacing in the first orbital parameter.
[0073] Step S103: Compare the target parameter in the first structural parameter with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter.
[0074] Optionally, in this embodiment of the disclosure, the target parameter refers to the radius of each of the two white dwarfs in the first structural parameter. The second mass parameter is included in the mass parameter, the second structural parameter is included in the structural parameter, and the second orbital parameter is included in the orbital parameter.
[0075] Specifically, such as Figure 2 As shown, the server compares the target parameter in the first structural parameter with the target radius to determine whether the radius of the double white dwarf fills the Roche lobe. When the radius of all the stars in the double white dwarf does not exceed its equivalent Roche lobe, the server determines the first mass parameter as the second mass parameter, the first structural parameter as the second structural parameter, and the first orbital parameter as the second orbital parameter.
[0076] When the radius of any one of the two white dwarfs exceeds its equivalent Roche lobe, the portion of the star that exceeds the Roche lobe will detach from the star, causing a matter transfer between the two white dwarfs. The server updates the first mass parameter, the first structure parameter, and the first orbital parameter to obtain the second mass parameter, the second structure parameter, and the second orbital parameter.
[0077] Step S104: Based on the second mass parameter and the second orbital parameter, obtain the gravitational wave signal of the binary white dwarf, or based on the second mass parameter and the second orbital parameter, obtain the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk, and store the binary white dwarf gravitational wave signal or the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal into the gravitational wave signal set.
[0078] Optionally, in this embodiment of the disclosure, the binary white dwarf gravitational wave signal includes the evolution of the amplitude, frequency, and power of the binary white dwarf gravitational wave over time. The accretion disk gravitational wave signal includes the evolution of the amplitude, frequency, and power of the accretion disk gravitational wave over time. The set of gravitational wave signals includes both the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal.
[0079] like Figures 3-10 As shown, the server selects four stars from a binary white dwarf source obtained from astronomical observations. These four stars are assigned different binary white dwarf masses and initial orbital periods, and are given the same ellipticity (e.g., 0), distance (e.g., 10 kiloparsecs), and magnetic field (e.g., 10...). 10 Gaussian, azimuth (e.g., 0°), pitch (e.g., 60°), orbital phase (e.g., 0°), angular momentum transfer coefficient (e.g., 1.0).
[0080] in, Figure 3 and Figure 4 These are schematic diagrams illustrating the evolution of gravitational wave amplitude and power spectrum over time for a binary white dwarf star with masses of 0.55 and 0.27 times the mass of the Sun, respectively, and an orbital period of approximately 321.6 seconds. Figure 5 and Figure 6 These are schematic diagrams illustrating the evolution of gravitational wave amplitude and power spectrum over time for another binary white dwarf star, with masses of 1.17 solar masses and 0.17 solar masses respectively, and an orbital period of approximately 285.2 seconds. Figure 7 and Figure 8 These are schematic diagrams illustrating the evolution of gravitational wave amplitude and power spectrum over time for another binary white dwarf star, with masses of 1.38 and 1.35 times the mass of the Sun, and an orbital period of approximately 5.7 seconds. Figure 9 and Figure 10 These are schematic diagrams illustrating the evolution of the gravitational wave amplitude and power spectrum over time for two binary white dwarfs, with masses of 0.55 solar masses and 0.27 solar masses respectively, and an orbital period of approximately 321.6 seconds.
[0081] It's important to note that an accretion disk is a disk-shaped structure composed of diffuse matter surrounding a celestial body, orbiting under the gravitational field of a central body. Central bodies can include young stars, protostars, white dwarfs, neutron stars, and black holes. In a binary white dwarf system, if matter transfer occurs between the two white dwarfs and the proportion of accreting matter exceeds a predetermined value, some of the accreted matter will form an accretion disk. For example, in a close binary white dwarf system, when the more massive star evolves into a white dwarf first, and the less massive companion star evolves into a giant star and exceeds its Roche lobe, gas will flow from the companion star to the white dwarf, thus forming an accretion disk.
[0082] Specifically, such as Figure 2 As shown, when the radius of the binary white dwarf star does not fill the Roche lobe, the server obtains the binary white dwarf gravitational wave signal based on the second mass parameter and the second orbital parameter, and stores the binary white dwarf gravitational wave signal into the gravitational wave signal set.
[0083] When the radius of a binary white dwarf fills its Roche lobe and no accretion disk is formed, the server obtains the gravitational wave signal of the binary white dwarf based on the second mass parameter and the second orbital parameter, and stores the binary white dwarf gravitational wave signal into the gravitational wave signal set.
[0084] When a binary white dwarf star fills its Roche lobe and forms an accretion disk, the server obtains the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal based on the second mass parameter and the second orbital parameter, and stores the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal into a gravitational wave signal set.
[0085] Step S105: Determine whether the termination condition has been met. If the termination condition has not been met, repeat the process starting from determining the target radius based on the first orbital parameter and the first mass parameter until the termination condition is met, and obtain the set of gravitational wave signals to be output. The termination condition is jointly determined by the first condition and the second condition. The first condition is jointly determined by the current mass parameter, the current structure parameter, and the current orbital parameter. The second condition is used to indicate the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signal determined each time.
[0086] Optionally, in this embodiment of the disclosure, the termination condition includes a first condition and a second condition. The first condition refers to a change of state between the two white dwarfs or a merger of the two white dwarfs, and the second condition refers to the current time step reaching a preset time step, where the preset time step is a pre-defined time step to end the program loop.
[0087] Among them, the changes in state of matter include four situations: (1) Under normal circumstances, the electron degeneracy pressure inside a white dwarf is in balance with the gravitational pressure, so the white dwarf can be in an equilibrium state. If accretion causes the gravitational pressure to be too high, it may force electrons into the atomic nucleus and combine with protons to become neutrons. When the electron degeneracy pressure can be balanced with the gravitational pressure of the star, the white dwarf will become a neutron star, and at this time the binary white dwarf system will become a binary system of neutron star and white dwarf; (2) If the star loses too much mass in a short period of time, or if a nuclear reaction occurs inside, the electron degeneracy state will end, that is, the electron degeneracy will end. At this time, the properties of the white dwarf will change, and it will no longer be the original white dwarf; (3) After the white dwarf loses too much mass in a stable manner, it will gradually evolve into a planet; (4) The binary white dwarfs collide.
[0088] The merger of two white dwarfs refers to the merging of two white dwarfs during their orbits. A merger is considered to have occurred when the sum of the radii of the two white dwarfs is greater than the orbital distance between them.
[0089] The time step can be selected from a value ranging from seconds to millennia. The smaller the step, the higher the precision. Generally, a small step corresponds to a high-mass white dwarf, and a large time step corresponds to a low-mass white dwarf. For example, when the mass of the white dwarf is set to 1.2 times the mass of the Sun, the time step can be about 300 seconds; when the mass of the white dwarf is set to 0.05 times the mass of the Sun, the time step can be about 10 years.
[0090] The server accumulates the time unit step size in each loop to obtain the current time step size. If the current time step size reaches the preset time step size, the termination condition is determined to be met.
[0091] Specifically, the server determines whether the termination condition has been met. If none of the above termination conditions have been met, it starts by repeatedly executing the process from determining the target radius based on the first orbital parameters and the first mass parameters, obtaining the corresponding binary white dwarf gravitational wave signal and accretion disk gravitational wave signal, and storing the corresponding binary white dwarf gravitational wave signal and accretion disk gravitational wave signal into the gravitational wave signal set, until any of the above termination conditions are met, and obtains the gravitational wave signal set to be output.
[0092] In this embodiment, the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star are obtained; a target radius is determined based on the first orbital parameters and first mass parameters; the target parameter in the first structural parameters is compared with the target radius to determine the second mass parameters, second structural parameters, and second orbital parameters; based on the second mass parameters and second orbital parameters, a binary white dwarf gravitational wave signal or a binary white dwarf gravitational wave signal and an accretion disk gravitational wave signal are obtained; it is determined whether a termination condition has been met; if the termination condition has not been met, the process is repeated from determining the target radius based on the first orbital parameters and first mass parameters until the termination condition is met, resulting in a set of gravitational wave signals to be output. Because this embodiment updates the orbital parameters, mass parameters, and structural parameters, it can accurately acquire gravitational wave signals.
[0093] In some optional implementations, the target parameter in the first structural parameter is compared with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter, including:
[0094] When the target parameter is less than the target radius, the first mass parameter is determined as the second mass parameter, the first structural parameter is determined as the second structural parameter, and the first orbital parameter is determined as the second orbital parameter.
[0095] If the target parameter is greater than or equal to the target radius, the first mass parameter, the first structural parameter, and the first orbital parameter are updated to obtain the second mass parameter, the second structural parameter, and the second orbital parameter.
[0096] Optionally, in embodiments of this disclosure, such as Figure 2 As shown, the server compares the target parameter (i.e., the radius of the binary white dwarf) with the target radius (i.e., the Roche lobe) to determine whether the radius of the binary white dwarf fills the Roche lobe. If the target parameter is smaller than the target radius (i.e., the radius of all stars in the binary white dwarf does not exceed its equivalent Roche lobe), the server determines the first mass parameter as the second mass parameter, the first structure parameter as the second structure parameter, and the first orbital parameter as the second orbital parameter.
[0097] If the target parameter is greater than or equal to the target radius (i.e., the radius of any one of the two white dwarfs exceeds its equivalent Roche lobe), the server updates the first mass parameter, the first structure parameter, and the first orbital parameter to obtain the second mass parameter, the second structure parameter, and the second orbital parameter.
[0098] In this embodiment of the disclosure, by processing the orbital parameters, mass parameters, and structural parameters according to the relationship between the target parameters and the target radius, it is possible to correct the orbital parameters, mass parameters, and structural parameters, and accurately track the changes in the physical state of the binary white dwarf at different evolutionary stages.
[0099] In some optional implementations, updating the first mass parameter, the first structural parameter, and the first orbital parameter to obtain the second mass parameter, the second structural parameter, and the second orbital parameter includes:
[0100] Based on the first orbital parameters, the first mass parameters, the first structural parameters, and the target radius, the accretion material proportion coefficient is obtained;
[0101] The first mass parameter and the first orbital parameter are updated based on the accretion material ratio coefficient to obtain the second mass parameter and the second orbital parameter;
[0102] The second mass parameter is matched with a preset mapping relationship to update the first structural parameter, thereby obtaining the second structural parameter. The preset mapping relationship is used to characterize the mapping relationship between the mass parameter and the structural parameter.
[0103] Optionally, in this embodiment of the disclosure, the accretion mass ratio coefficient refers to the proportion of the accretion mass of the primary star to the spilled mass of the companion star, and its value ranges from 0 to 1. The companion star is the matter-providing star, spilling matter outwards when its radius exceeds the Roche lobe radius; the primary star is the accreting star, receiving a portion of the spilled matter from the companion star. The preset mapping relationship refers to the mapping relationship between mass parameters and structural parameters, including but not limited to numerical tables, scatter plots, line graphs, surface plots, functional equations, and databases.
[0104] It should be noted that when a white dwarf fills its Roche lobe, matter spills out from the companion star, some of which transfers to the primary star and some to regions outside the binary system. Once the white dwarf fills its Roche lobe, the server can calculate the proportion of matter that transfers to the primary star and the proportion that transfers to regions outside the binary system by comparing the luminosity of the binary system with that of the Eddington star: if the luminosity of the binary system is less than that of the Eddington star, all the detached matter will be accreted by the primary star; if the luminosity of the binary system is greater than that of the Eddington star, the energy conservation principle will be used to calculate how much matter is accreted, and the remaining matter will enter other regions outside the binary system.
[0105] Specifically, such as Figure 2As shown, the server first obtains the mass of spilled matter from the companion star in the binary white dwarf system based on the first orbital parameters, the first mass parameter, the first structural parameters, and the target radius. It then calculates the matter transfer rate (binary star luminosity) in the binary white dwarf system using the companion star's spilled matter mass and the time unit step size. Next, the server compares the binary star luminosity with the Eddington luminosity to obtain the ratio of the primary star's accretion mass to the companion star's spilled matter mass, i.e., the accretion mass ratio coefficient. Finally, the server calculates the mass changes of both the companion and primary stars based on the companion star's spilled matter mass and the accretion mass ratio coefficient, obtaining the second mass parameter, and updates the first orbital parameters to obtain the second orbital parameter.
[0106] Furthermore, the server can pre-establish the mapping relationship between mass parameters and structural parameters, i.e., the preset mapping relationship. The server first obtains the general relationship between pressure and density inside a white dwarf, derived by Chandrasekhar based on the laws of quantum mechanics and relativity, i.e., the equation of state. Then, the server derives the hydrostatic equation from the equation of state, writing it as the differential of pressure with respect to the radius equal to the differential of gravitational potential with respect to the radius multiplied by the negative of density. Next, the server simultaneously solves the hydrostatic equation and the Poisson equation, finding that the second derivative of gravitational potential with respect to the radius equals four times pi multiplied by the gravitational constant multiplied by density. By introducing a function related to electron momentum to eliminate the gravitational potential in the simultaneous equations, the server obtains the second-order differential equation of the degenerate state with respect to the radius. Finally, the server uses the finite difference method to solve the second-order differential equation, dividing the star into multiple layers along the radius. Each layer has approximately the same physical properties. The solution is initially started from the center of the star (layer 0 and layer 1). The second layer is solved according to the relationship of the second-order differential equation. Then, the solution is iterated layer by layer until the surface of the star is reached. At this point, the mass of the star no longer changes with the increase of the radius, and the preset mapping relationship is obtained.
[0107] like Figure 2 As shown, after obtaining the second quality parameter and the preset mapping relationship, the server obtains the structural parameter that matches the second quality parameter in the preset mapping relationship, updates the first structural parameter, and obtains the second structural parameter.
[0108] In this embodiment of the disclosure, by updating the first mass parameter and the first orbital parameter, the mass parameter and orbital parameter can be corrected. By using a preset mapping relationship and the second mass parameter to update the first structural parameter, the first structural parameter can be corrected, thereby improving the efficiency of acquiring gravitational wave signals.
[0109] In some optional implementations, based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf and the accretion disk gravitational wave signal are obtained, including:
[0110] When the accretion material ratio is greater than a preset value, the accretion disk parameters are obtained based on the second mass parameter and the second orbital parameter. The preset value is used to determine whether a binary white dwarf star forms an accretion disk.
[0111] Based on the accretion disk parameters, the second mass parameter, and the second orbital parameter, the accretion disk gravitational wave signal is obtained;
[0112] Based on the second mass parameter and the second orbital parameter, the gravitational wave signal of the binary white dwarf was obtained.
[0113] Optionally, in this embodiment of the disclosure, a preset value is used to determine whether a binary white dwarf star forms an accretion disk, and the value can be 0. An accretion disk is a disk-shaped structure composed of diffuse material that rotates around a central body. If the proportion of accretion material is greater than the preset value, some of the accreted material will form an accretion disk, while the other part will collide with the surface of the host star. By default, the mass of this latter part is very small and can be ignored. Accretion disk parameters include accretion disk mass parameters, accretion disk radius parameters, etc.
[0114] Specifically, such as Figure 2 As shown, the server compares the accretion mass ratio with a preset value (e.g., 0) to determine whether an accretion disk has formed. If the accretion mass ratio is greater than the preset value (i.e., an accretion disk has formed), the server first obtains the accretion disk parameters based on the second mass parameter and the second orbital parameter. Then, based on the accretion disk parameters, the second mass parameter, and the second orbital parameter, it obtains the accretion disk gravitational wave signal. Finally, based on the second mass parameter and the second orbital parameter, it obtains the binary white dwarf gravitational wave signal.
[0115] In this embodiment of the disclosure, by acquiring the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk based on the second mass parameter and the second orbital parameter when the accretion mass ratio is greater than a preset value, the gravitational wave signal can be accurately acquired, thereby improving the accuracy and reliability of the gravitational wave signal.
[0116] In some alternative implementations, the method further includes:
[0117] When the accretion mass ratio is less than or equal to a preset value, the gravitational wave signal of the binary white dwarf is obtained based on the second mass parameter and the second orbital parameter.
[0118] Optionally, in this embodiment of the disclosure, the server compares the accretion mass ratio with a preset value (e.g., 0) to determine whether an accretion disk has formed. If the accretion mass ratio is less than or equal to the preset value (i.e., no accretion disk has formed), the server obtains the binary white dwarf gravitational wave signal based on the second mass parameter and the second orbital parameter.
[0119] In this embodiment of the disclosure, by obtaining the gravitational wave signal of the binary white dwarf star based on the second mass parameter and the second orbital parameter when the accretion mass ratio is less than or equal to a preset value, the gravitational wave signal can be obtained accurately, thereby improving the accuracy and reliability of the gravitational wave signal.
[0120] In some optional implementations, the gravitational wave signal of the binary white dwarf is obtained based on the second mass parameter and the second orbital parameter, including:
[0121] Based on the second mass parameter and the second orbital parameter, the mass quadrupole moment of the binary white dwarf is obtained;
[0122] Based on the mass quadrupole moment of a binary white dwarf, the amplitude and frequency of gravitational waves from the binary white dwarf are obtained.
[0123] The gravitational wave power of the binary white dwarf star is obtained based on the amplitude and frequency of the binary white dwarf star gravitational wave.
[0124] Frequency domain analysis was performed on the amplitude, frequency, and power of the gravitational waves from the binary white dwarf star to obtain the gravitational wave signal.
[0125] Optionally, in this embodiment of the disclosure, the quadrupole mass moment of a binary white dwarf is a physical quantity describing the degree to which the mass distribution of a binary white dwarf system deviates from spherical symmetry. According to the theory of general relativity, the mass distribution and orbital motion of a binary white dwarf affect its quadrupole mass moment; the greater the mass of the binary white dwarf and the more complex the variation in orbital spacing, the more significant the variation characteristics of its quadrupole mass moment. The server substitutes the second mass parameter and the second orbital parameter into relevant formulas to derive the quadrupole mass moment of the binary white dwarf.
[0126] During the orbital process of a binary white dwarf star, the change in the quadrupole moment of its mass is the source of gravitational waves. The rate of change determines the frequency of the gravitational waves, while the magnitude of the change corresponds to the amplitude of the gravitational waves. By substituting the quadrupole moment of the binary white dwarf star into relevant formulas, the server derives the amplitude and frequency of the gravitational waves from the binary white dwarf star.
[0127] Gravitational wave power represents the amount of energy radiated by gravitational waves per unit time. The amplitude and frequency of the gravitational waves are crucial factors in calculating their power. Generally, the larger the amplitude and the higher the frequency, the greater the gravitational wave power, and the stronger the gravitational waves radiated by a binary white dwarf system. The server derives the gravitational wave power of a binary white dwarf by substituting its amplitude and frequency into relevant formulas.
[0128] Subsequently, the server performs frequency domain analysis on the amplitude, frequency, and power of the binary white dwarf gravitational waves. Using methods such as separated Fourier transform, the time-domain signal is converted to the frequency domain to obtain the spectral distribution of the time-domain gravitational wave intensity. Then, the time-domain gravitational wave intensity is segmented according to the time series, and the spectral distribution of each segment is calculated to obtain the evolution of the spectral distribution over time, i.e., the power spectrum evolution. This yields the evolution of the binary white dwarf gravitational wave amplitude, frequency, and power over time, i.e., the binary white dwarf gravitational wave signal.
[0129] In this embodiment of the disclosure, the amplitude, frequency, and power of the gravitational wave from the binary white dwarf are obtained based on the second mass parameter and the second orbital parameter, and the gravitational wave signal from the binary white dwarf is obtained by performing frequency domain analysis. This enables the accurate acquisition of the gravitational wave signal from the binary white dwarf, thereby improving the accuracy and reliability of the gravitational wave signal from the binary white dwarf.
[0130] In some alternative implementations, after determining whether the termination condition has been met, the method further includes:
[0131] When the termination condition is met, a set of gravitational wave signals is output.
[0132] Optionally, in this embodiment of the disclosure, the gravitational wave signal set includes gravitational wave signals from a binary white dwarf and gravitational wave signals from an accretion disk. The server outputs the gravitational wave signal set and ends the loop when it determines that any of the termination conditions in the above embodiments have been met.
[0133] In this embodiment of the disclosure, by outputting a set of gravitational wave signals when the termination condition is met, the gravitational wave signals of the binary white dwarf can be accurately acquired, and a complete set of gravitational wave signals can be obtained.
[0134] This embodiment also provides a gravitational wave signal acquisition device, which is used to implement the above embodiments and preferred embodiments; details already described will not be repeated. As used below, the term "module" can refer to a combination of software and / or hardware that performs a predetermined function. Although the device described in the following embodiments is preferably implemented in software, hardware implementation, or a combination of software and hardware, is also possible and contemplated.
[0135] This embodiment provides a device for acquiring gravitational wave signals, such as... Figure 11 As shown, it includes:
[0136] The acquisition module 1101 is used to acquire the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star;
[0137] The first determining module 1102 is used to determine the target radius based on the first orbital parameters and the first mass parameters;
[0138] The second determining module 1103 is used to compare the target parameter in the first structural parameter with the target radius to determine the second mass parameter, the second structural parameter and the second orbital parameter.
[0139] The first obtaining module 1104 is used to obtain a binary white dwarf gravitational wave signal based on the second mass parameter and the second orbital parameter, or to obtain a binary white dwarf gravitational wave signal and an accretion disk gravitational wave signal based on the second mass parameter and the second orbital parameter, and to store the binary white dwarf gravitational wave signal or the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal into a gravitational wave signal set.
[0140] The second module 1105 is used to determine whether the termination condition has been met. If the termination condition has not been met, the execution is repeated from the point where the target radius is determined based on the first orbital parameter and the first mass parameter until the termination condition is met, thus obtaining a set of gravitational wave signals to be output. The termination condition is determined by the first condition and the second condition. The first condition is determined by the current mass parameter, the current structure parameter, and the current orbital parameter. The second condition is used to indicate the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signal determined each time.
[0141] In this embodiment, the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star are obtained; a target radius is determined based on the first orbital parameters and first mass parameters; the target parameter in the first structural parameters is compared with the target radius to determine the second mass parameters, second structural parameters, and second orbital parameters; based on the second mass parameters and second orbital parameters, a binary white dwarf gravitational wave signal or a binary white dwarf gravitational wave signal and an accretion disk gravitational wave signal are obtained; it is determined whether a termination condition has been met; if the termination condition has not been met, the process is repeated from determining the target radius based on the first orbital parameters and first mass parameters until the termination condition is met, resulting in a set of gravitational wave signals to be output. Because this embodiment updates the orbital parameters, mass parameters, and structural parameters, it can accurately acquire gravitational wave signals.
[0142] In some alternative implementations, the second determining module 1103 includes:
[0143] The determination submodule is used to determine the first mass parameter as the second mass parameter, the first structural parameter as the second structural parameter, and the first orbital parameter as the second orbital parameter when the target parameter is less than the target radius.
[0144] The first submodule is used to update the first mass parameter, the first structural parameter, and the first orbital parameter when the target parameter is greater than or equal to the target radius, so as to obtain the second mass parameter, the second structural parameter, and the second orbital parameter.
[0145] In some alternative implementations, the first obtaining submodule includes:
[0146] The first obtaining unit is used to obtain the accretion material ratio coefficient based on the first orbital parameters, the first mass parameters, the first structural parameters, and the target radius;
[0147] The second obtaining unit is used to update the first mass parameter and the first orbital parameter based on the accretion material ratio coefficient to obtain the second mass parameter and the second orbital parameter;
[0148] The third obtaining unit is used to match the second mass parameter with the preset mapping relationship, update the first structural parameter, and obtain the second structural parameter, wherein the preset mapping relationship is used to characterize the mapping relationship between the mass parameter and the structural parameter.
[0149] In some alternative implementations, the first obtaining module 1104 includes:
[0150] The acquisition submodule is used to acquire accretion disk parameters based on the second mass parameter and the second orbital parameter when the accretion material ratio coefficient is greater than the preset value. The preset value is used to determine whether a binary white dwarf star has formed an accretion disk.
[0151] The second submodule is used to obtain the accretion disk gravitational wave signal based on the accretion disk parameters, the second mass parameters, and the second orbital parameters.
[0152] The third submodule is used to obtain the gravitational wave signal of the binary white dwarf star based on the second mass parameter and the second orbital parameter.
[0153] In some alternative embodiments, the device further includes:
[0154] The third module is used to obtain the gravitational wave signal of the binary white dwarf star based on the second mass parameter and the second orbital parameter when the accretion mass ratio is less than or equal to a preset value.
[0155] In some alternative implementations, the first obtaining module 1104 includes:
[0156] The fourth submodule is used to obtain the mass quadrupole moment of the binary white dwarf star based on the second mass parameter and the second orbital parameter.
[0157] The fifth submodule is used to obtain the amplitude and frequency of gravitational waves from the binary white dwarf based on the mass quadrupole moment of the binary white dwarf.
[0158] The sixth submodule is used to obtain the gravitational wave power of the binary white dwarf star based on the amplitude and frequency of the binary white dwarf star gravitational wave.
[0159] The seventh submodule is used to perform frequency domain analysis on the amplitude, frequency, and power of the gravitational waves from the binary white dwarf star, thereby obtaining the gravitational wave signal from the binary white dwarf star.
[0160] In some alternative embodiments, the device further includes:
[0161] Output module, used to output a collection of gravitational wave signals.
[0162] Further functional descriptions of the above modules and units are the same as those in the corresponding embodiments described above, and will not be repeated here.
[0163] In this embodiment, the gravitational wave signal acquisition device is presented in the form of a functional unit. Here, a unit refers to an ASIC (Application Specific Integrated Circuit) circuit, a processor and memory that execute one or more software or fixed programs, and / or other devices that can provide the above functions.
[0164] This disclosure also provides a computer device having the above-described features. Figure 11 The device shown is for acquiring gravitational wave signals.
[0165] Please see Figure 12 , Figure 12 This is a schematic diagram of the structure of a computer device provided in an optional embodiment of this disclosure, such as... Figure 12 As shown, the computer device includes one or more processors 10, memory 20, and interfaces for connecting the components, including high-speed interfaces and low-speed interfaces. The components communicate with each other via different buses and can be mounted on a common motherboard or otherwise installed as needed. The processors can process instructions executed within the computer device, including instructions stored in or on memory to display graphical information of a GUI on external input / output devices (such as display devices coupled to the interfaces). In some alternative implementations, multiple processors and / or multiple buses can be used with multiple memories and multiple memory modules, if desired. Similarly, multiple computer devices can be connected, each providing some of the necessary operations (e.g., as a server array, a group of blade servers, or a multiprocessor system). Figure 12 Take a processor 10 as an example.
[0166] Processor 10 may be a central processing unit, a network processor, or a combination thereof. Processor 10 may further include a hardware chip. The hardware chip may be an application-specific integrated circuit (ASIC), a programmable logic device (PLD), or a combination thereof. The programmable logic device may be a complex programmable logic device (CAMP), a field-programmable gate array (FPGA), a general-purpose array logic (GDA), or any combination thereof.
[0167] The memory 20 stores instructions executable by at least one processor 10 to cause the at least one processor 10 to perform the method shown in the above embodiments.
[0168] The memory 20 may include a program storage area and a data storage area. The program storage area may store the operating system and applications required for at least one function; the data storage area may store data created based on the use of the computer device. Furthermore, the memory 20 may include high-speed random access memory and may also include non-transitory memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device. In some alternative embodiments, the memory 20 may optionally include memory remotely located relative to the processor 10, and these remote memories may be connected to the computer device via a network. Examples of such networks include, but are not limited to, the Internet, intranets, local area networks, mobile communication networks, and combinations thereof.
[0169] The memory 20 may include volatile memory, such as random access memory; the memory may also include non-volatile memory, such as flash memory, hard disk or solid-state drive; the memory 20 may also include a combination of the above types of memory.
[0170] The computer device also includes a communication interface 30 for communicating with other devices or communication networks.
[0171] This disclosure also provides a computer-readable storage medium in which the methods described in this disclosure can be implemented in hardware or firmware, or implemented as recordable on a storage medium, or implemented as computer code originally stored on a remote storage medium or a non-transitory machine-readable storage medium and subsequently stored on a local storage medium after being downloaded over a network. Thus, the methods described herein can be processed by software stored on a storage medium using a general-purpose computer, a dedicated processor, or programmable or dedicated hardware. The storage medium may be a magnetic disk, optical disk, read-only memory, random access memory, flash memory, hard disk, or solid-state drive, etc.; further, the storage medium may also include combinations of the above types of memory. It is understood that computers, processors, microprocessor controllers, or programmable hardware include storage components capable of storing or receiving software or computer code that, when accessed and executed by the computer, processor, or hardware, implements the methods shown in the above embodiments.
[0172] A portion of this disclosure can be applied to computer program products, such as computer program instructions, which, when executed by a computer, can invoke or provide methods and / or technical solutions according to this disclosure through the operation of the computer. Those skilled in the art will understand that the forms in which computer program instructions exist in a computer-readable medium include, but are not limited to, source files, executable files, and installation package files. Accordingly, the ways in which computer program instructions are executed by a computer include, but are not limited to: the computer directly executing the instructions; the computer compiling the instructions and then executing the corresponding compiled program; the computer reading and executing the instructions; or the computer reading and installing the instructions and then executing the corresponding installed program. Here, the computer-readable medium can be any available computer-readable storage medium or communication medium accessible to a computer.
[0173] Although embodiments of the present disclosure have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the present disclosure, and such modifications and variations all fall within the scope defined by the appended claims.
Claims
1. A method for acquiring gravitational wave signals, characterized in that, The method includes: Obtain the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star; The target radius is determined based on the first orbital parameters and the first mass parameters; The target parameter in the first structural parameter is compared with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter; Based on the second mass parameter and the second orbital parameter, a binary white dwarf gravitational wave signal is obtained, or based on the second mass parameter and the second orbital parameter, the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal are obtained, and the binary white dwarf gravitational wave signal or the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal are stored in a gravitational wave signal set; If the termination condition is not met, the process is repeated from the point where the target radius is determined based on the first orbital parameters and the first mass parameters until the termination condition is met, resulting in the set of gravitational wave signals to be output. The termination condition is determined by a first condition and a second condition. The first condition is determined by the current mass parameters, current structure parameters, and current orbital parameters. The second condition indicates the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signal determined each time.
2. The method according to claim 1, characterized in that, The step of comparing the target parameter in the first structural parameters with the target radius to determine the second mass parameter, the second structural parameter, and the second orbital parameter includes: When the target parameter is less than the target radius, the first mass parameter is determined as the second mass parameter, the first structural parameter is determined as the second structural parameter, and the first orbital parameter is determined as the second orbital parameter; If the target parameter is greater than or equal to the target radius, the first mass parameter, the first structural parameter, and the first orbital parameter are updated to obtain the second mass parameter, the second structural parameter, and the second orbital parameter.
3. The method according to claim 2, characterized in that, The step of updating the first mass parameter, the first structural parameter, and the first orbital parameter to obtain the second mass parameter, the second structural parameter, and the second orbital parameter includes: Based on the first orbital parameters, the first mass parameters, the first structural parameters, and the target radius, the accretion material ratio coefficient is obtained; The first mass parameter and the first orbital parameter are updated based on the accretion material ratio coefficient to obtain the second mass parameter and the second orbital parameter; The second quality parameter is matched with a preset mapping relationship, and the first structural parameter is updated to obtain the second structural parameter. The preset mapping relationship is used to characterize the mapping relationship between the quality parameter and the structural parameter.
4. The method according to claim 3, characterized in that, The process of obtaining the gravitational wave signal of the binary white dwarf and the gravitational wave signal of the accretion disk based on the second mass parameter and the second orbital parameter includes: When the accretion material ratio is greater than a preset value, the accretion disk parameters are obtained based on the second mass parameter and the second orbital parameter, wherein the preset value is used to determine whether the binary white dwarf star forms an accretion disk; Based on the accretion disk parameters, the second mass parameter, and the second orbital parameter, the gravitational wave signal of the accretion disk is obtained; The gravitational wave signal of the binary white dwarf is obtained based on the second mass parameter and the second orbital parameter.
5. The method according to claim 4, characterized in that, The method further includes: When the accretion mass ratio is less than or equal to the preset value, the gravitational wave signal of the binary white dwarf is obtained based on the second mass parameter and the second orbital parameter.
6. The method according to claim 1, 4, or 5, characterized in that, The process of obtaining the binary white dwarf gravitational wave signal based on the second mass parameter and the second orbital parameter includes: Based on the second mass parameter and the second orbital parameter, the mass quadrupole moment of the binary white dwarf is obtained; Based on the mass quadrupole moment of the binary white dwarf, the amplitude and frequency of the binary white dwarf gravitational waves are obtained. The gravitational wave power of the binary white dwarf is obtained based on the amplitude and frequency of the binary white dwarf gravitational wave. Frequency domain analysis was performed on the amplitude, frequency, and power of the gravitational waves from the binary white dwarf star to obtain the gravitational wave signal.
7. The method according to claim 1, characterized in that, After determining whether the termination condition has been met, the method further includes: Upon reaching the termination condition, the set of gravitational wave signals is output.
8. A device for acquiring gravitational wave signals, characterized in that, The device includes: The acquisition module is used to acquire the first orbital parameters, first mass parameters, and first structural parameters of the binary white dwarf star; The first determining module is used to determine the target radius based on the first orbital parameters and the first mass parameters; The second determining module is used to compare the target parameter in the first structural parameter with the target radius to determine the second mass parameter, the second structural parameter and the second orbital parameter; The first obtaining module is used to obtain the binary white dwarf gravitational wave signal based on the second mass parameter and the second orbital parameter, or to obtain the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal based on the second mass parameter and the second orbital parameter, and to store the binary white dwarf gravitational wave signal or the binary white dwarf gravitational wave signal and the accretion disk gravitational wave signal into a gravitational wave signal set; The second obtaining module is used to determine whether the termination condition has been met. If the termination condition has not been met, the execution is repeated from the determination of the target radius based on the first orbital parameters and the first mass parameters until the termination condition is met, thereby obtaining the set of gravitational wave signals to be output. The termination condition is jointly determined by a first condition and a second condition. The first condition is jointly determined by the current mass parameters, the current structure parameters, and the current orbital parameters. The second condition is used to indicate the comparison result between the current time step and the preset time step. The set of gravitational wave signals includes the gravitational wave signals of the binary white dwarf star and the accretion disk gravitational wave signals determined each time.
9. A computer device, characterized in that, include: A memory and a processor are communicatively connected, the memory stores computer instructions, and the processor executes the computer instructions to perform the method for acquiring gravitational wave signals according to any one of claims 1 to 7.
10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores computer instructions for causing a computer to execute the method for acquiring gravitational wave signals according to any one of claims 1 to 7.
Citation Information
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Space-based gravitational wave detector frequency planning scheme making method and system
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