Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers
Abstract
This study analyzes the sensitivity of the dynamics around Weak Stability Boundary Transfers (WSBT) in the elliptical restricted three-body problem. With WSBTs increasing popularity for cislunar transfers, understanding its inherently chaotic dynamics becomes pivotal for guiding and navigating cooperative spacecrafts as well as detecting non-cooperative objects. We introduce the notion of separation time to gauge the deviation of a point near a nominal WSBT from the trajectory's vicinity. Employing the Cauchy-Green tensor to identify stretching directions in position and velocity, the separation time, along with the Finite-Time Lyapunov Exponent are studied within a ball of state uncertainty scaled to typical orbit determination performances.
Keywords
Cite
@article{arxiv.2402.00717,
title = {Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers},
author = {Isabel Nolton and Kento Tomita and Yuri Shimane and Koki Ho},
journal= {arXiv preprint arXiv:2402.00717},
year = {2024}
}
Comments
18 pages, 13 figures, This paper was presented at the AAS/AAIA astrodynamics specialist conference, August 13-17, 2023, Big Sky, MT, USA