Small body gravitational field modeling method based on gaussian process regression

A technology of Gaussian process regression and modeling method, which is applied in the field of modeling the gravitational field of small celestial bodies, and can solve problems such as inability to obtain accurate solutions, reduction of calculation amount, and complex calculation process.

Active Publication Date: 2018-12-07
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0004] In view of the complex calculation process and the inability to obtain accurate solutions in the traditional gravitational field modeling method, the technical problem to be solved by the small celestial gravitational field modeling method based on Gaussian process regression GPR disclosed by the present invention is: using the Gaussian process regression GPR method Quickly and accurately model and calculate the gravitational field near small celestial bodies, and can reduce the amount of calculation and improve the modeling speed

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  • Small body gravitational field modeling method based on gaussian process regression
  • Small body gravitational field modeling method based on gaussian process regression
  • Small body gravitational field modeling method based on gaussian process regression

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[0071] In order to better illustrate the purpose and advantages of the present invention, the content of the invention will be further described below in conjunction with the accompanying drawings and examples.

[0072] This example calculates the gravitational acceleration g of 10,000 inspection points within 20km of the small celestial body 433Eros from the center of mass. The density of 433Eros is 2.67×10 12 kg / km 3 , the small celestial gravitational constant is 0.4401×10 -3 km 3 / s 2 . In order to prove the applicability of the method, the inspection points are randomly obtained, and the modeling results are compared with the results and time calculated by the polyhedron method.

[0073] Such as figure 1 As shown, the small celestial body gravitational field modeling method based on Gaussian process regression GPR disclosed in this embodiment, the specific implementation method is as follows:

[0074] Step 1: Obtain the training set of gravitational field data by po...

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Abstract

The invention discloses a small body gravitational field modeling method based on gaussian process regression GPR, and belongs to the technical field of deep space exploration. The implementation method comprises the following steps: using the spherical coordinates of a field point near a small body, and obtaining a training set of gravitational field data through a polyhedron method; and using the obtained training set to establish a gaussian process regression GPR model. Then, a gravitational field at the position of a checking point is predicted to obtain a mapping relationship between thefield point and gravitation acceleration, namely modeling calculation is carried out on the gravitational field near the small body quickly and accurately by using the gaussian process regression GPRmethod, and the calculated amount can be reduced, so that the modeling speed is improved, and the requirement of online calculation is met. The method can be applied to deep space exploration, technical support and reference are provided for the establishment of a dynamics environment around the small body in a small body exploration task, and associated engineering problems are solved.

Description

technical field [0001] The invention relates to a small celestial body gravitational field modeling method based on Gaussian process regression GPR, which belongs to the technical field of deep space exploration. Background technique [0002] The detection mission of small celestial bodies has many requirements, among which the determination of the orbital environment is a crucial part. Whether the gravitational field of small celestial bodies can be accurately obtained will directly affect the progress of the entire detection mission. Therefore, efficient gravity field modeling is not only the primary problem to be solved in the research and design of small astrophysical satellite orbits, but also one of the main scientific goals of small astrophysical exploration missions. [0003] There are mainly three traditional small body modeling methods. The first method is the spherical harmonic function method, which mainly uses the series expansion to directly approximate the gr...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/17G06F17/18
CPCG06F17/17G06F17/18
Inventor 高艾廖文韬王高岳贺佳文
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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