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TRAJECTORY OPTIMIZATION FOR SUN-EARTH L5 POINT MISSIONS

机译：地面L5点任务的轨迹优化

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Sun-Earth L5 point is an ideal location to observe the Sun. Spacecraft in the vicinity of Sun-Earth L5 point can provide different perspectives of the Sun than that of near Earth observatories. One satellite of NASA's STEREO mission passed the vicinity of the Sun-Earth L5 point. However, none satellite has been launched into periodic orbit about the Sun-Earth L4/L5 point. This paper studies trajectory optimization for Sun-Earth L5 point missions. Two approaches, the multi-revolution phasing and the invariant manifolds, are used to optimize the transfer trajectory to L5 point. In the multi-revolution phasing approach, satellite is first launched into heliocentric transfer trajectory with semi-major axis a little larger than that of the Earth. Due to the inequality of angular velocity, the phase angle between the Earth and the satellite increases with time. When the phase angle achieves 60 degree after several revolutions, the satellite is injected into the L5 periodic orbit with a tangent maneuver. The tradeoff between transfer time and maneuver velocity is studied. In the invariant manifolds approach, satellite is first transferred to the Sun-Earth L2 point using stable manifolds of Lissajous trajectory. Then the satellite flies to the L5 point to using the unstable manifolds. An injection maneuver is implemented when the satellite arrives at the L5 regions. Three-body transit orbits are used to optimize to the flight time of transfer trajectory. Finally, mission scenarios using both approaches are simulated in high precision dynamical model considering perturbations of planets and the DE 405 ephemeris.
机译：太阳地球L5点是观察太阳的理想位置。与靠近地球观测站的地方相比，位于太阳-地球L5点附近的航天器可以提供不同的太阳视角。美国宇航局STEREO任务的一颗卫星经过了太阳地球L5点附近。但是，没有卫星被发射到围绕太阳地球L4 / L5点的周期性轨道上。本文研究了日地L5点任务的轨迹优化。多重旋转定相和不变流形这两种方法可用于优化到L5点的转移轨迹。在多旋转定相方法中，首先将卫星发射到半长轴略大于地球的日心转移轨道。由于角速度的不等式，地球与卫星之间的相角随时间增加。几圈旋转后，当相位角达到60度时，卫星将以切线机动的方式注入L5周期轨道。研究了转移时间与机动速度之间的权衡。在不变流形方法中，首先使用李沙育轨迹的稳定流形将卫星转移到日地L2点。然后，卫星飞到L5点，以使用不稳定的歧管。当卫星到达L5区域时，将执行注入机动。三体运输轨道用于优化转移轨迹的飞行时间。最后，在考虑了行星和DE 405星历的扰动的高精度动力学模型中，模拟了使用这两种方法的任务场景。

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