Sparse optimal trajectory design in three-body problem

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A structure of the optimal trajectory for minimizing fuel consumption in an unstable dynamical environment such as the three-body problem is not well studied. Recently, it has been found that a sparse solution structure appears in the optimal control of a dynamical system. The concept of sparsity explains the property that the minimum fuel trajectory corresponds to the trajectory which minimizes the total thrusting time. In this paper, we propose a numerical method to obtain the minimum fuel sparse optimal trajectory in the unstable dynamical system. As an example, proposed methods are applied to the transfer in the Sun-Earth system.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2019
EditorsFrancesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti
PublisherUnivelt Inc.
Pages2599-2618
Number of pages20
ISBN (Print)9780877036593
Publication statusPublished - Jan 1 2019
Event29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States
Duration: Jan 13 2019Jan 17 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume168
ISSN (Print)0065-3438

Conference

Conference29th AAS/AIAA Space Flight Mechanics Meeting, 2019
CountryUnited States
CityMaui
Period1/13/191/17/19

Fingerprint

three body problem
trajectory
Trajectories
trajectories
dynamical systems
Dynamical systems
fuel consumption
optimal control
Fuel consumption
Sun
numerical method
Numerical methods
sun
Earth (planet)

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Kayama, Y., Bando, M., & Hokamoto, S. (2019). Sparse optimal trajectory design in three-body problem. In F. Topputo, A. J. Sinclair, M. P. Wilkins, & R. Zanetti (Eds.), Spaceflight Mechanics 2019 (pp. 2599-2618). [AAS 19-359] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..

Sparse optimal trajectory design in three-body problem. / Kayama, Yuki; Bando, Mai; Hokamoto, Shinji.

Spaceflight Mechanics 2019. ed. / Francesco Topputo; Andrew J. Sinclair; Matthew P. Wilkins; Renato Zanetti. Univelt Inc., 2019. p. 2599-2618 AAS 19-359 (Advances in the Astronautical Sciences; Vol. 168).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kayama, Y, Bando, M & Hokamoto, S 2019, Sparse optimal trajectory design in three-body problem. in F Topputo, AJ Sinclair, MP Wilkins & R Zanetti (eds), Spaceflight Mechanics 2019., AAS 19-359, Advances in the Astronautical Sciences, vol. 168, Univelt Inc., pp. 2599-2618, 29th AAS/AIAA Space Flight Mechanics Meeting, 2019, Maui, United States, 1/13/19.
Kayama Y, Bando M, Hokamoto S. Sparse optimal trajectory design in three-body problem. In Topputo F, Sinclair AJ, Wilkins MP, Zanetti R, editors, Spaceflight Mechanics 2019. Univelt Inc. 2019. p. 2599-2618. AAS 19-359. (Advances in the Astronautical Sciences).
Kayama, Yuki ; Bando, Mai ; Hokamoto, Shinji. / Sparse optimal trajectory design in three-body problem. Spaceflight Mechanics 2019. editor / Francesco Topputo ; Andrew J. Sinclair ; Matthew P. Wilkins ; Renato Zanetti. Univelt Inc., 2019. pp. 2599-2618 (Advances in the Astronautical Sciences).
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