空间飞行器二体问题：初值问题与两点边值问题

A spacecraft flying in outer space is subject to the Earth's gravity, forming a two-body model. The relative inertial motion equation of the two-body motion is a second-order ordinary differential equation [17]. For the current two-body problem, if the initial position vector and velocity vector are known, the position and velocity of the spacecraft at the corresponding time can be calculated through the two-body motion equation. This problem is called the initial value problem. If the position vectors at the initial and final moments are known, the velocity vector of the spacecraft at the initial position can be obtained. This problem is called the two-point boundary value problem.