Three-dimensional time Optimal Multi-reversal Orbit by Using Solar Sailing

Abstract

In this paper a new family of three dimensional (3D) non-Keplerian orbits is produced by using ideally reflective solar sailing. A sailcraft departs from the Earth orbit to accomplish a novel periodic orbit with orbital angular momentum reversing four times over one period. Such a new kind of orbit is referred to as the “multi-reversal orbit”. It is symmetrical with respect to the plane which contains the Sun-perihelion line. This property benefits the calculations and reduces the simulation effort. In order to find the minimum periodic orbits, a time optimal control model is constructed and solved by using an indirect method. Two typical 3D multi-reversal orbits are obtained with different orbital constraints. Some orbital characteristic, like quasi-heliostationary condition near its two aphelion points, are demonstrated via numerical simulations. A comparison between these two typical orbits is conducted to show more details about this new orbit. Differences between the multi-reversal orbit and double-reversal orbit are presented to show the advantages of the multi-reversal concept.