The embodiment of the invention provides a
spacecraft pursuit game solving method, device and equipment under a weak gravity
system, and the method comprises the steps: obtaining a kinetic equation of a
spacecraft under a gravity-
free system, and constructing a Hamiltonian function based on a costate variable corresponding to a reference
game type and the kinetic equation; on the basis of Hamiltonian functions corresponding to the tracking
spacecraft and the escape spacecraft under the zero-gravity
system,
optimal control strategies corresponding to the tracking spacecraft and the escape spacecraft are determined through the minimum value principle, and an analytical calculation formula of a co-
state variable at the initial moment is obtained; obtaining a kinetic equation and a target
game type of the spacecraft under the weak gravity
system, matching a corresponding co-
state variable analysis calculation formula based on the target
game type, and determining an initial value of a co-
state variable; based on the weak gravitational kinetic equation and the initial value of the co-state variable, the
equilibrium solution of the pursuit game corresponding to the target game type is solved through the minimum value principle, and the solving difficulty of the
equilibrium solution of the game is reduced.