This paper presents novel methods to provide libration point orbits (LPOs) and invariant manifolds (IMs) associated with libration point orbits in the elliptic restricted three-body problem (ERTBP). First, we introduce an extended autonomous system to describe the ERTBP. By introducing an autonomous system which generates a periodic function and integrating it with the ERTBP which is non-autonomous, we can obtain the extended autonomous system. Then, the center manifold design method which can uniquely provide an LPO in the circular restricted three-body problem is applied to the ERTBP. Next, we present a design method for IMs in the ERTBP by using the local stability characteristics obtained by the state transition matrix along LPOs of the extended system. The proposed design methods are applied and verified for the Earth-Moon L1 ERTBP. We show various LPOs in the ERTBP by changing design parameters, and IMs associated with a libration point and an LPO.
|ジャーナル||Proceedings of the International Astronautical Congress, IAC|
|出版ステータス||出版済み - 2018|
|イベント||69th International Astronautical Congress: #InvolvingEveryone, IAC 2018 - Bremen, ドイツ|
継続期間: 10月 1 2018 → 10月 5 2018
!!!All Science Journal Classification (ASJC) codes