Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916112229203968 |
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| author | Nolton, Isabel Tomita, Kento Shimane, Yuri Ho, Koki |
| author_facet | Nolton, Isabel Tomita, Kento Shimane, Yuri Ho, Koki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers Nolton, Isabel Tomita, Kento Shimane, Yuri Ho, Koki Chaotic Dynamics Optimization and Control 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. |
| title | Sensitivity Analysis of Separation Time Along Weak Stability Boundary Transfers |
| topic | Chaotic Dynamics Optimization and Control |
| url | https://arxiv.org/abs/2402.00717 |