On the stability of the lagrangian points in the spatial restricted problem of three bodies |
| |
| Authors: | Alessandra Celletti Antonio Giorgilli |
| |
| Institution: | (1) Dipartimento di Matematica Pura e Applicata, Universita dell'Aquila, 67100 Coppito, L'aquila, Italy;(2) Dipartimento di Matematica, Via Saldini 50, 20133, Milano, Italy |
| |
| Abstract: | The problem of stability of the Lagrangian equilibrium point of the circular restricted problem of three bodies is investigated in the light of Nekhoroshev-like theory. Looking for stability over a time interval of the order of the estimated age of the universe, we find a physically relevant stability region. An application of the method to the Sun-Jupiter and the Earth-Moon systems is made. Moreover, we try to compare the size of our stability region with that of the region where the Trojan asteroids are actually found; the result in such case is negative, thus leaving open the problem of the stability of these asteroids. |
| |
| Keywords: | Three body problem Lagrangian points Nonlinear stability |
| 本文献已被 SpringerLink 等数据库收录！ |
|
