Phasing Delta-V for transfers from Sun–Earth halo orbits to the Moon

Hongru Chen, Yasuhiro Kawakatsu, Toshiya Hanada

Research output: Contribution to journalArticle

Abstract

Inspired by successful extended missions such as the ISEE-3, an investigation for the extended mission that involves a lunar encounter following a Sun-Earth halo orbit mission is considered valuable. Most previous studies present the orbit-to-orbit transfers where the lunar phase is not considered. Intended for extended missions, the present work aims to solve for the minimum phasing ∆V for various initial lunar phases. Due to the solution multiplicity of the two-point boundary value problem, the general constrained optimization algorithm that does not identify multiple feasible solutions is shown to miss minima. A two-step differential corrector with a two-body Lambert solver is developed for identifying multiple solutions. The minimum ∆V associated with the short-way and long-way approaches can be recovered. It is acquired that the required ∆V to cover all initial lunar phases is around 45 m/s for the halo orbit with out-of-plane amplitude A z greater than 3.5×10 5  km, and 14 m/s for a small halo orbit with A z =1×10 5  km. In addition, the paper discusses the phasing planning based on the ∆V result and the shift of lunar phase with halo orbit revolution.

Original languageEnglish
Pages (from-to)464-473
Number of pages10
JournalActa Astronautica
Volume127
DOIs
Publication statusPublished - Oct 1 2016

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Moon
Orbits
Orbital transfer
Constrained optimization
Sun
Boundary value problems
Earth (planet)
Planning

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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Phasing Delta-V for transfers from Sun–Earth halo orbits to the Moon. / Chen, Hongru; Kawakatsu, Yasuhiro; Hanada, Toshiya.

In: Acta Astronautica, Vol. 127, 01.10.2016, p. 464-473.

Research output: Contribution to journalArticle

Chen, Hongru ; Kawakatsu, Yasuhiro ; Hanada, Toshiya. / Phasing Delta-V for transfers from Sun–Earth halo orbits to the Moon. In: Acta Astronautica. 2016 ; Vol. 127. pp. 464-473.
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