Low-energy transfers to the Moon with long transfer time

Kenta Oshima; Francesco Topputo; Tomohiro Yanao

doi:10.1007/s10569-019-9883-7

Low-energy transfers to the Moon with long transfer time

Kenta Oshima^*, Francesco Topputo, Tomohiro Yanao

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

This paper globally explores two-impulse, low-energy Earth–Moon transfers in the planar bicircular restricted four-body problem with transfer time of up to 200 days. A grid search combined with a direct transcription and multiple shooting technique reveals numerous families of optimal low-energy solutions, including some that have not been reported yet. We investigate characteristics of solutions in terms of parameters in two- and three-body dynamics, and discuss a trade-off between cost and transfer time based on Pareto-optimal solutions, with and without lunar gravity assists. Analysis of orbital characteristics reveals the role of the Sun, the Earth, and the Moon in the transfer dynamics.

Original language	English
Article number	4
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	131
Issue number	1
DOIs	https://doi.org/10.1007/s10569-019-9883-7
Publication status	Published - 2019 Jan 1

Keywords

Direct transcription and multiple shooting
Low-energy transfer
Lunar gravity assist
Pareto-optimal solution
Restricted four-body problem

ASJC Scopus subject areas

Modelling and Simulation
Mathematical Physics
Astronomy and Astrophysics
Space and Planetary Science
Computational Mathematics
Applied Mathematics

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10.1007/s10569-019-9883-7

Cite this

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title = "Low-energy transfers to the Moon with long transfer time",

abstract = "This paper globally explores two-impulse, low-energy Earth–Moon transfers in the planar bicircular restricted four-body problem with transfer time of up to 200 days. A grid search combined with a direct transcription and multiple shooting technique reveals numerous families of optimal low-energy solutions, including some that have not been reported yet. We investigate characteristics of solutions in terms of parameters in two- and three-body dynamics, and discuss a trade-off between cost and transfer time based on Pareto-optimal solutions, with and without lunar gravity assists. Analysis of orbital characteristics reveals the role of the Sun, the Earth, and the Moon in the transfer dynamics.",

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T1 - Low-energy transfers to the Moon with long transfer time

AU - Oshima, Kenta

AU - Topputo, Francesco

AU - Yanao, Tomohiro

N1 - Funding Information: This study has been partially supported by Grant-in-Aid for JSPS Fellows No. 15J07090, and by JSPS Grant-in-Aid, No. 26800207. Publisher Copyright: © 2019, Springer Nature B.V.

PY - 2019/1/1

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N2 - This paper globally explores two-impulse, low-energy Earth–Moon transfers in the planar bicircular restricted four-body problem with transfer time of up to 200 days. A grid search combined with a direct transcription and multiple shooting technique reveals numerous families of optimal low-energy solutions, including some that have not been reported yet. We investigate characteristics of solutions in terms of parameters in two- and three-body dynamics, and discuss a trade-off between cost and transfer time based on Pareto-optimal solutions, with and without lunar gravity assists. Analysis of orbital characteristics reveals the role of the Sun, the Earth, and the Moon in the transfer dynamics.

AB - This paper globally explores two-impulse, low-energy Earth–Moon transfers in the planar bicircular restricted four-body problem with transfer time of up to 200 days. A grid search combined with a direct transcription and multiple shooting technique reveals numerous families of optimal low-energy solutions, including some that have not been reported yet. We investigate characteristics of solutions in terms of parameters in two- and three-body dynamics, and discuss a trade-off between cost and transfer time based on Pareto-optimal solutions, with and without lunar gravity assists. Analysis of orbital characteristics reveals the role of the Sun, the Earth, and the Moon in the transfer dynamics.

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KW - Lunar gravity assist

KW - Pareto-optimal solution

KW - Restricted four-body problem

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Low-energy transfers to the Moon with long transfer time

Abstract

Keywords

ASJC Scopus subject areas

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