On optimal LISA orbit design

Fuente: arXiv
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Main Author: Yang, Yaguang
Format: Preprint
Published: 2025
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author Yang, Yaguang
author_facet Yang, Yaguang
contents The ESA/NASA joint LISA (laser interferometer space antenna) mission is designed to detect gravitational waves, which relies crucially on maintaining three-spacecraft constellation as close to an equilateral triangle with a designed distance as possible. Efforts have been made to achieve this goal by using various simplified models to make it easy to approximately solve the complex problem. In this paper, the problem is formulated as a nonlinear optimization problem using exact nonlinear Kepler's orbit equations. It is shown that the optimal solution based on the exact nonlinear Kepler's orbit equations gives a better solution than the previously obtained ones.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00936
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On optimal LISA orbit design
Yang, Yaguang
General Relativity and Quantum Cosmology
Optimization and Control
90C90
The ESA/NASA joint LISA (laser interferometer space antenna) mission is designed to detect gravitational waves, which relies crucially on maintaining three-spacecraft constellation as close to an equilateral triangle with a designed distance as possible. Efforts have been made to achieve this goal by using various simplified models to make it easy to approximately solve the complex problem. In this paper, the problem is formulated as a nonlinear optimization problem using exact nonlinear Kepler's orbit equations. It is shown that the optimal solution based on the exact nonlinear Kepler's orbit equations gives a better solution than the previously obtained ones.
title On optimal LISA orbit design
topic General Relativity and Quantum Cosmology
Optimization and Control
90C90
url https://arxiv.org/abs/2501.00936