Using Fast Lyapunov Indicators with 4D Poincare Maps to Identify Transforming Quasi-Periodic Orbits

Document Type

Conference Proceeding

Publication Date

8-13-2024

Abstract

Fast Lyapunov Indicator (FLI) maps and Poincarè maps are two common methods for analyzing complex dynamical systems. These maps are complicated to assess for the spatial circular restricted three-body problem due to the high number of dimensions. This paper proposes a method of using FLI in conjunction with4D Poincarè maps to more easily search for spatial periodic and quasi-periodic trajectories. The use of FLI to filter trajectories displayed in a 4D Poincarè map allows for the benefits of the Poincarè map to be realized while taking advantage of the ability of FLI to distinguish between stable and unstable trajectories.

Comments

Session: Cislunar Astrodynamics IV

Source Publication

2024 AAS/AIAA Astrodynamics Specialist Conference

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