Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers

التفاصيل البيبلوغرافية
العنوان: Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers
المؤلفون: Nolton, Isabel, Tomita, Kento, Shimane, Yuri, Ho, Koki
سنة النشر: 2024
المجموعة: Mathematics
Nonlinear Sciences
مصطلحات موضوعية: Nonlinear Sciences - Chaotic Dynamics, Mathematics - Optimization and Control
الوصف: 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.
Comment: 18 pages, 13 figures, This paper was presented at the AAS/AAIA astrodynamics specialist conference, August 13-17, 2023, Big Sky, MT, USA
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2402.00717Test
رقم الانضمام: edsarx.2402.00717
قاعدة البيانات: arXiv