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Method for calculating stable orbit of non-synchronous binary star system

An orbital calculation and asynchronous technology, applied in the aerospace field, can solve the problems of inapplicability of asynchronous systems, and achieve the effects of many orbital families, high computational efficiency and good convergence.

Active Publication Date: 2017-05-10
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

This method is also only applicable to spin-locked binary systems, and will not apply to non-synchronized systems

Method used

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  • Method for calculating stable orbit of non-synchronous binary star system
  • Method for calculating stable orbit of non-synchronous binary star system
  • Method for calculating stable orbit of non-synchronous binary star system

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Embodiment 1

[0055] A kind of stable orbit calculation method of non-synchronous binary star system of the present embodiment, comprises the following steps:

[0056] Step 1. According to the determined parameters of the target binary star system, ignoring the difference in spin angular velocity, the binary star system is considered as a synchronous binary star system, an ellipsoid-ellipsoid binary star system model is established, and a dynamic model is established in the center-of-mass rotating coordinate system. The parameters of the binary system include the shape, mass ratio and relative distance of the binary.

[0057]

[0058] Where ρ represents the position vector from the detector to the center of mass, ω is the rotational angular velocity of the system, and ρ 1 and ρ 2 is the position vector from the detector to the primary and secondary stars of the binary star. u 1 , U 2 Denotes the gravitational potential energy of a binary star:

[0059]

[0060]

[0061]

[...

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Abstract

The invention relates to a method for calculating a stable orbit of a non-synchronous binary star system, in particular to a method for calculating the stable orbit of the non-synchronous binary star system based on second-order differential correction, belongs to the field of aerospace technologies and is suitable for orbit design for detection of the non-synchronous binary star system by a detector. For an arbitrary non-synchronous binary star system, the system is firstly considered as a synchronous system for periodic orbit searching; then the synchronous system is converted into a non-synchronous system according to a spin period of minor planets, and the obtained periodic orbit is divided into a plural sections according to an orbital period; the plural sections of the periodic orbit are introduced into the non-synchronous system for orbit integral; the plural sections of the orbit are respectively subject to position correction and speed correction; and the long-term stable orbit in the non-synchronous system is obtained through multiple iterations. The stable orbit suitable for the non-synchronous binary star system can be realized, an initial value of the orbit is easy to select and good in convergence, and the calculation efficiency is high.

Description

technical field [0001] The present invention relates to a method for calculating the orbit of a non-synchronous binary star system, in particular to a method for calculating the stable orbit of a non-synchronous binary star system based on second-order differential correction, which belongs to the field of aerospace technology and is applicable to detectors for non-synchronous binary star systems Probing track design. Background technique [0002] The double asteroid system is a special type of asteroid. The system consists of two asteroids orbiting each other around the center of mass, while the center of mass of the system orbits the sun. There are a large number of binary asteroids, accounting for about 16% of the number of near-Earth asteroids and main belt asteroids. Carrying out exploration missions to binary star systems has special scientific rewards. It can study the evolution of the system and the mechanism of dynamic formation, and verify the YORP effect. In add...

Claims

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Application Information

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IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 乔栋李翔宇刘银雪杜燕茹杨雅迪
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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