Lagrangian Derivation and Stability Analysis of Multi-Body Gravitational Dynamical Models with Application to Cislunar Periodic Orbit Propagation
Document Type
Conference Proceeding
Publication Date
8-9-2021
Abstract
Lagrangian analytical methods are applied to formulate succinct derivations of the circular restricted three-body problem, the elliptical restricted three-body problem, and the bicircular restricted four-body problem. The presence of, or lack thereof, equilibrium points within each dynamical model is discussed and presented in both graphical and tabular form. Periodic trajectories within multi-body dynamical systems, identified herein as cislunar periodic orbits are then generated using each of the presented dynamical models. The dynamical variations in these periodic orbits when transitioning between dynamical models are analyzed and discussed with plots presented as to ascertain the model-dependent influence on periodic orbit trajectory.
Source Publication
2021 AAS/AIAA Astrodynamics Specialist Conference
Recommended Citation
Wilmer, A. P., & Bettinger, R. A. (2021). Lagrangian Derivation and Stability Analysis of Multi-Body Gravitational Dynamical Models with Application to Cislunar Periodic Orbit Propagation. 2021 AAS/AIAA Astrodynamics Specialist Conference, Session 22-Orbital Dynamics, Perturbations, and Stability II, AAS 21-529.