Transfer orbit family initial value searching method and system based on collision zone atlas
A transfer orbit and search method technology, which is applied in the field of initial value search method and system of transfer orbit family, and can solve the problem that distribution cannot be searched and estimated with purpose.
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Embodiment 1
[0043] like figure 1As shown, Embodiment 1 of the present invention provides a search method for an initial value of a transfer orbital family based on a collision zone map.
[0044] In the circular restricted three-body problem, the rendezvous coordinate system has an origin at the center of mass of the system, and the x-axis is controlled by the main celestial body P 1 Pointing to the small host object P 2 , the z-axis is parallel to the angular momentum vector of the main celestial body motion, and the y-axis is determined by the right-hand rule. For the convenience of analysis and calculation, each physical quantity is dimensionless and magnitude normalized, and the corresponding mass unit is defined as the total mass of the main celestial body, the length unit is the distance between the two main celestial bodies, and the time unit is divided by the movement period of the main celestial body 2π, the system quality parameter is defined as μ=m 2 / m 1 +m 2 , where m 1 ...
example
[0064] In the restricted three-body problem of the earth-moon type, starting from the circular low-earth orbit (Low Earth Orbit, LEO) and transferring to the short-period orbit (Short Periodic Orbit) with an amplitude of β=0.15 near the L4 Lagrangian point ,SPO) as an example, the process of initial value search using this method is as follows:
[0065] For the problem of directly transferring from LEO to SPO, the velocity increment is applied to the point on SPO, and the collision zone map between the Earth and SPO obtained by reverse integration of 5 time units (about 21.7 days) is as follows figure 2 shown. Sampling at the upper boundary of the widest collision zone where the phase angle of the insertion point is 0.2π, the position direction angle, velocity direction angle and linear interpolation results when the disturbance orbit intersects with LEO are as follows image 3 shown.
[0066] The problem of transferring from LEO to SPO with the assistance of lunar gravity ...
Embodiment 2
[0069] Embodiment 2 of the present invention proposes a transfer orbit family initial value search system based on the collision zone map, the system includes: a collision zone map drawing module, a parking orbit integration module, an orientation angle marking module and a transfer orbit initial value output module; in,
[0070] The collision zone map drawing module is used to apply tangential disturbance to points on the target orbit, and integrate the disturbance orbit, mark the disturbance orbit that can hit the main celestial body, and draw the collision between the main celestial body and the target orbit with map;
[0071] The parking orbit integration module is used to respectively take a preset velocity increment interval on both sides of each collision zone, randomly select a number of sample disturbance orbits from the velocity increment interval, and integrate them to the parking orbit;
[0072] The direction angle marking module is used to mark the position direc...
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