Dynamics near the L3 point of the Earth-Moon system- Invariant manifolds and connections with other libration points.
Abstract
The main aim of this project is to study connections between orbits around the L₃ point of the Earth-Moon system (E-M) with other regions of interest, namely (a) parking orbits around the Earth, (b) the Moon surface, (c) the neighborhood of the points L� and L₂ of the Earth-Sun system (E-S), and (d) trajectories that enter-exit the Earth- Moon system by approaching L₃. This proposal also aims to develop new control strategies for these connections (including leaving he E-M system) based on a discrete representation of the control function combined with jet transport. Obtaining these connections requires the use of efficient methods to compute families of quasi-periodic solutions and their invariant manifolds, of dimensions up to 4. Close to L₃ the natural dynamics are very slow and to globalize the manifolds accurately requires the use of high order approximations for them. This research proposes to then look for efficient algorithms to find intersections between these (high dimensional and time dependent) manifolds. The basic tool to compute a local approximation to the invariant manifolds will be the jet transport technique and the parametrization method. The efficient globalization of these manifolds and the search for their intersections is one of the goals of this project. The basic model for the dynamics is the Sun-Earth-Moon Bicircular model (BCP), that assumes that the Earth- Moon RTBP rotates around the Sun in a circular orbit. Some of the computed trajectories will be refined and tested in a high fidelity model. In particular, this proposal mentions a transfer trajectory between Earth and L₃, a return mission to the Moon (from L₃), and a trajectory to go away from the Earth-Moon system.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 05, 2025
- Source ID
- FA86552417059
Entities
People
- Angel Jorba
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Barcelona