Hill stability of the planar three-body problem: General and restricted cases |
| |
Authors: | Takeshi Nakamura Junzo Yoshida |
| |
Institution: | (1) Rakuyo Girls' High School, Nakagyo-ku, Kyoto 604, Japan;(2) Department of Physics, Kyoto Sangyo University, Kita-ku, Kyoto 603, Japan |
| |
Abstract: | The equations of motion of the planar three-body problem split into two parts, called an external part and an internal part. When the third mass approaches zero, the first part tends to the equations of the Kepler motion of the primaries and the second part to the equations of motion of the restricted problem.We discuss the Hill stability from these equations of motion and the energy integral. In particular, the Jacobi integral for the circular restricted problem is seen as an infinitesimal-mass-order term of the Sundman function in this context. |
| |
Keywords: | Three-body problem Hill stability |
本文献已被 SpringerLink 等数据库收录! |
|