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Periodic orbits high above the ecliptic plane in the solar sail 3-body problem

机译:太阳帆三体问题中黄道平面上方的周期性轨道

摘要

Due to the non-central nature of the force on a solar sail, there exist equilibrium points of the equations of motion out of the ecliptic plane in the Sun-Earth-Sail circular restricted 3-body problem, in contrast with the classical Lagrange points. Analogous to the 'halo' orbits, we construct large amplitude periodic orbits about these equilibria. By timing the period of the orbit we may negate the seasonal effects of the variation in the Earth's axis of rotation, and thus the sail's position when viewed from the pole subtends a much smaller angle (around 8 deg rather than 46 deg). These orbits are of practical interest with regards to communication with, and constant imaging of, the poles.
机译:由于太阳帆上力的非中心性质,与经典的拉格朗日点相反,在太阳-地球-风帆圆形受限三体问题中存在着黄道面外运动方程的平衡点。 。类似于“晕轮”轨道,我们围绕这些平衡构造了大振幅周期轨道。通过定时确定轨道的周期,我们可以消除地球自转轴变化的季节影响,因此从极点看时帆的位置呈较小的角度(约8度而不是46度)。这些轨道在与极点通信和不断成像方面具有实际意义。

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    Waters T.; McInnes C.R.;

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  • 年度 2007
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