Periodic and quasi-periodic orbit design based on the center manifold theory

Yuki Akiyama, Mai Bando, Shinji Hokamoto

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes a new numerical method for finding libration point orbits in the vicinity of collinear libration points in the circular restricted three-body problem. The main advantage of this method is that it requires neither an initial guess nor complex algebraic manipulations for finding both quasi-periodic and periodic orbits. The proposed method consists of two steps: center manifold design and differential correction. The first step provides a quasi-periodic orbit parametrized by a single parameter vector. In the second step, the parameter vector in the first step is used to obtain an exact periodic orbit. This method is applied to find periodic and quasi-periodic orbits in the Sun-Earth restricted three-body problem around the L1 and L2 libration points.

Original languageEnglish
Pages (from-to)672-682
Number of pages11
JournalActa Astronautica
Volume160
DOIs
Publication statusPublished - Jul 2019

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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