Periodic orbits with constant control acceleration in the restricted three body problem

Mutsuko Y. Morimoto; Hiroshi Yamakawa

doi:10.1109/SICE.2008.4655106

Periodic orbits with constant control acceleration in the restricted three body problem

Mutsuko Y. Morimoto, Hiroshi Yamakawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.

Original language	English
Title of host publication	Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
Pages	2607-2611
Number of pages	5
DOIs	https://doi.org/10.1109/SICE.2008.4655106
Publication status	Published - 2008
Externally published	Yes
Event	SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology - Tokyo, Japan Duration: 2008 Aug 20 → 2008 Aug 22

Publication series

Name	Proceedings of the SICE Annual Conference

Other

Other	SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
Country/Territory	Japan
City	Tokyo
Period	08/8/20 → 08/8/22

Keywords

Artificial equilibrium point
Restricted three body problem

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/SICE.2008.4655106

Cite this

Morimoto, M. Y., & Yamakawa, H. (2008). Periodic orbits with constant control acceleration in the restricted three body problem. In Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology (pp. 2607-2611). [4655106] (Proceedings of the SICE Annual Conference). https://doi.org/10.1109/SICE.2008.4655106

Periodic orbits with constant control acceleration in the restricted three body problem. / Morimoto, Mutsuko Y.; Yamakawa, Hiroshi.
Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology. 2008. p. 2607-2611 4655106 (Proceedings of the SICE Annual Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Morimoto, MY & Yamakawa, H 2008, Periodic orbits with constant control acceleration in the restricted three body problem. in Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology., 4655106, Proceedings of the SICE Annual Conference, pp. 2607-2611, SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology, Tokyo, Japan, 08/8/20. https://doi.org/10.1109/SICE.2008.4655106

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title = "Periodic orbits with constant control acceleration in the restricted three body problem",

abstract = "In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.",

keywords = "Artificial equilibrium point, Restricted three body problem",

author = "Morimoto, {Mutsuko Y.} and Hiroshi Yamakawa",

note = "Copyright: Copyright 2008 Elsevier B.V., All rights reserved.; SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology ; Conference date: 20-08-2008 Through 22-08-2008",

year = "2008",

doi = "10.1109/SICE.2008.4655106",

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AU - Morimoto, Mutsuko Y.

AU - Yamakawa, Hiroshi

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N2 - In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.

AB - In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.

KW - Artificial equilibrium point

KW - Restricted three body problem

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T3 - Proceedings of the SICE Annual Conference

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BT - Proceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology

T2 - SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology

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ER -

Periodic orbits with constant control acceleration in the restricted three body problem

Abstract

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Keywords

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