Periodic orbit search method for double asteroid system based on velocity Poincaré section

Abstract

The invention relates to a double-asteroid system periodic orbit searching method based on the speed Poincare section and belongs to the field of aerospace. The method comprises the following steps that 1, the mass and size of each asteroid are obtained and are normalized; 2, a system rotating coordinate system is built; 3, the searching range is selected, the initial position of a detector is selected in the X-axis direction, the initial speed is gradually increased, orbit integration is carried out, the stopping condition is that the detector penetrates through the predetermined section, and then a Poincare map is drawn according to the speed at the termination point; 4, two adjacent initial points, penetrating through the axis, in the curve in the map are selected, an initial state average value is obtained to be subjected to integration again, a new initial point penetrating the axis is obtained, repeated iteration is carried out, and an accurate value is obtained; 5, the initial position of the detector is changed, and the third step and the four step are carried out repeatedly until the values cover the searching area. Compared with the prior art, the method has the advantages of being high in efficiency, comprehensive in searching, simple in calculation and the like, and is suitable for orbit design occasions where the detector detects a double-asteroid system.

Description

technical field [0001] The invention relates to a search method for the periodic orbit of a double asteroid system, in particular to a search method for the global periodic orbit of a double asteroid system based on the velocity Poincaré section, which belongs to the field of aerospace technology and is suitable for detectors to search for a double asteroid system. Orbit design for detection of asteroid systems. Background technique [0002] The orbital detection and sampling return of small celestial bodies are important components of small celestial body detection. In the design of the detection mission, it is necessary to design the orbit near the asteroid. Periodic orbits near asteroids have good dynamic characteristics and can be used as ideal parking orbits for detection orbits and landing orbits. [0003] The double asteroid system is a special type of asteroid system. There are two asteroids revolving around a common center of mass, which is similar to the Earth-Mo...

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Problems solved by technology

[0007] The purpose of the present invention is to solve the problem of limited periodic orbit search in the above-mentioned double asteroid system, and propose a search method for the global periodic orbit of the double asteroid system based on the velocity Poincaré section, which uses the symmetry of the model Searching for symmetrical orbits along the axial direction can realize the search for global periodic orbits with symmetry in the system, and expand the range of periodic orbits from near the equilibrium point to the entire area of ​​the system

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