TY - GEN
T1 - Periodic orbits with constant control acceleration in the restricted three body problem
AU - Morimoto, Mutsuko Y.
AU - Yamakawa, Hiroshi
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
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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U2 - 10.1109/SICE.2008.4655106
DO - 10.1109/SICE.2008.4655106
M3 - Conference contribution
AN - SCOPUS:56749175254
SN - 9784907764296
T3 - Proceedings of the SICE Annual Conference
SP - 2607
EP - 2611
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
Y2 - 20 August 2008 through 22 August 2008
ER -