The invention discloses a multi-
satellite pursuit game method based on a survival type
differential game, and relates to a
spaceflight pursuit
satellite optimal method.The method comprises the steps that firstly, a
particle swarm algorithm and a Newton iteration
algorithm are combined, and a complex two-
point boundary value problem is converted into a parameter
optimization problem with constraints; and then solving a
countermeasure saddle point corresponding to the game
countermeasure for chasing the
satellite. On the premise of considering the accuracy of the
algorithm, shortening the calculation cost and ignoring the attitude problem of the satellite, the model is simplified, and the thrust
direction angle of the satellite is used as the control quantity to realize the
orbital maneuver of the satellite. Assuming that the satellites are all under the condition of continuous small thrust, taking terminal end time as a
payment function by three game parties, taking a
minimum function as a target by chasing the satellites, and contrarily taking the
minimum function as the target by escaping the satellites.
Simulation results show that the confrontation game of the pursuit satellites in the
orbital plane is relatively intense, and the pursuit satellites with higher thrust acceleration have more advantages in confrontation.