TY - GEN

T1 - Periodic orbits with constant control acceleration in the restricted three body problem

AU - Morimoto, Mutsuko Y.

AU - Yamakawa, Hiroshi

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

UR - http://www.scopus.com/inward/record.url?scp=56749175254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=56749175254&partnerID=8YFLogxK

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 -