Abstract
This paper researches an optimal problem of orbital evasion with considering space geometry by using an analytical approach. Firstly, an angles-only relative navigation model is built and the definition of completely nonobservable maneuver is proposed. After algebraic analysis of relative space geometry, it is proved that the completely nonobservable maneuver is nonexistent. Based on this, the angle measurements of orbit without evasion are set as reference measurements and an analytical solution is derived to find the minimum difference between measurements and the reference measurements in a constant measuring time. Then, an object function using vector multiplication is designed and an optimization model is established so as to prove the optimality of analytical solution. At last, several numerical simulations are performed with different maneuver directions, which verify the effectiveness of the analytical method of this paper for orbital evasion problem. This method offers a new viewpoint for orbital evasion problem.
Highlights
Nowadays the satellites face various threats, orbit debris and some noncooperative rendezvous
We focus on optimal evasion strategies for an evading satellite against a noncooperative rendezvous spacecraft
We introduced space geometry of the two spacecraft in an orbital evasion problem to characterize the measurements as a new index
Summary
Nowadays the satellites face various threats, orbit debris and some noncooperative rendezvous. We focus on optimal evasion strategies for an evading satellite against a noncooperative rendezvous spacecraft. We introduced space geometry of the two spacecraft in an orbital evasion problem to characterize the measurements as a new index. The fundamental reason why the system observability can be altered by the maneuvers of evader and pursuer is that these maneuvers alter the relative space geometry and the measurements that the pursuer and the evader can acquire This is the viewpoint which this paper tried to focus on. A novel analytical evasion strategy is proposed to find optimal evasive maneuvers by considering the variation of relative space geometry and measurements. The results indicate that the analytical method proposed in this paper can reach the expected effect
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