Transport mechanisms in the restricted three-body problem rely on the topology of dynamical structures created by gravitational interactions between a particle and the planets’ governing its motion. In a large part, periodic orbits and their associated invariant manifolds dictate the design of transfer trajectories between the neighborhoods of the two primaries. In this paper, the behavior of such dynamical structures is investigated using dynamical systems theory. Specifically, a Poincaré map is introduced utilizing the zero-momentum subspace of the third-body motion in the phase-space. Such a Poincaré map is called the momentum map. These maps complement existing knowledge of the dynamical structures in the planar circular restricted three-body problem. The dynamical structures arising from these zero-momentum surfaces identify transport opportunities to planar libration point orbits, and promote the development of a catalog of transfers in cislunar space. Through geometric analysis of the velocity surface, a visualization technique is developed that enables the identification of transport opportunities with little computational effort. This approach offers an effective technique for analyzing the geometry of transfers in cislunar space.
Momentum Maps and Transport Mechanisms in the Planar Circular Restricted Three-Body Problem
J Astronaut Sci
The Journal of the Astronautical Sciences ; 69 , 5 ; 1263-1291
2022-10-01
29 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Momentum maps , PCR3BP , Poincaré Sections , Invariant manifolds , Inside-out topology , Velocity surface Engineering , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
Flybys in the Planar, Circular, Restricted, Three-Body Problem (AAS 11-425)
British Library Conference Proceedings | 2012
|Circular Restricted -Body Problem
AIAA | 2022
|Poincare Maps and Resonant Orbits in the Circular Restricted Three-Body Problem (AAS 11-428)
British Library Conference Proceedings | 2012
|