Abstract
In the present paper two-side optimization problem where the intercepting satellite pursuits the target satellite was studied. In the pursuit-evasion game the continuous thruster and the simple central gravity with J2 perturbation were involved for two satellites. With applying the functional extremum condition, the optimal control outputs of both side satellites were obtained by building the systems Hamilton function. Further, the two side optimal problem was transformed to the TPBVP, which contributed the solution with the mixed numerical method. Finally, the proposed method was validated by the numerical simulation, where the optimal interception and escaping trajectories were illustrated.
Highlights
In previous studies, for the satellite interception question, the targets were assumed generally to be static without any motion ability and moved in the pre-assigned orbits
The indirect method was applied based on the calculus of variation and maximum principle, causing that the interception question was transformed to the two point boundary value problem (TPBVP)
The present paper mainly studied the pursuit-evasion game of two satellites with J2 perturbation effect, where both satellites carried the continuous thruster with limited magnitude to perform orbital maneuver
Summary
For the satellite interception question, the targets were assumed generally to be static without any motion ability and moved in the pre-assigned orbits. For the scenarios with having the orbit maneuvering ability, the method described above may become infeasible since both the interceptor and the target are in the non-stationary state Considering both sides optimal features, the designer needs to give the control method, where the target satellite could escape from the interceptor when it discovered the later attacking intention. It is a classical pursuit-evasion problem and can be coped with the game theory. Mauro Pontani [15, 16] transferred the original interception problem to the TPBVP and proposed the semi-direct method to solve it This method was used in intercepting an extraatmosphere missile and two spacecrafts attack-escape. The present paper mainly studied the pursuit-evasion game of two satellites with J2 perturbation effect, where both satellites carried the continuous thruster with limited magnitude to perform orbital maneuver
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