A Rapid Design Method for Earth-Moon l1 Lagrangian Point Transfer Orbit
A technology for transferring orbits and design methods, applied in calculation, instrumentation, geometric CAD, etc., which can solve the problems of long flight cycle and long calculation time of the detector, and achieve the effects of good practicability, fuel saving, and improvement of design reliability
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Embodiment 1
[0043] Such as figure 1 As shown, a rapid design method of the earth-moon L1 Lagrangian point transfer orbit disclosed in the present invention is aimed at the small normal amplitude A z =The design steps of the 5000km target Halo track are as follows:
[0044] Step 1. The probe applies the first maneuvering pulse at the ideal orbit entry point of the target Halo orbit, and reversely deduces from the L1 Lagrangian point Halo orbit to the perilunar point position that satisfies the leverage constraint;
[0045] When designing the orbit of the probe, it is necessary to consider the influence of the gravitational force of the earth and the moon in the barycentric rendezvous coordinate system, and the dynamic equation can be expressed as:
[0046]
[0047] Such as figure 2 As shown, the origin of the coordinate system is the center of mass of the earth-moon system, the X-axis coincides with the line connecting the earth and the moon, and points from the earth to the moon, th...
Embodiment 2
[0067] Such as figure 1 As shown, a rapid design method of the earth-moon L1 Lagrangian point transfer orbit disclosed in the present invention is aimed at the large normal amplitude A z =The design steps of the 30000km target Halo track are as follows:
[0068] Step 1. The probe applies the first maneuvering pulse at the ideal orbit entry point of the target Halo orbit, and reversely deduces from the L1 Lagrangian point Halo orbit to the perilunar point position that satisfies the leverage constraint;
[0069] When designing the orbit of the probe, it is necessary to consider the influence of the gravitational force of the earth and the moon in the barycentric rendezvous coordinate system, and the dynamic equation can be expressed as:
[0070]
[0071] Such as figure 2 As shown, the origin of the coordinate system is the center of mass of the earth-moon system, the X-axis coincides with the line connecting the earth and the moon, and points from the earth to the moon, t...
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