In this paper, the spatial Hill lunar problem is investigated, and the existence of invariant tori of hyperbolic type in a neighborhood of its equilibrium is shown. Moreover,the author checks the non-degenerate condit...In this paper, the spatial Hill lunar problem is investigated, and the existence of invariant tori of hyperbolic type in a neighborhood of its equilibrium is shown. Moreover,the author checks the non-degenerate condition analytically and obtains two-dimensional elliptic invariant tori on its central manifold as well.展开更多
文摘In this paper, the spatial Hill lunar problem is investigated, and the existence of invariant tori of hyperbolic type in a neighborhood of its equilibrium is shown. Moreover,the author checks the non-degenerate condition analytically and obtains two-dimensional elliptic invariant tori on its central manifold as well.