TY - GEN

T1 - From elliptic restricted three-body problem to Tschauner-Hempel equations

T2 - AAS/AIAA Astrodynamics Specialist Conference

AU - Bando, Mai

AU - Ichikawa, Akira

PY - 2010/12/1

Y1 - 2010/12/1

N2 - This paper considers halo orbit control for the Earth-moon elliptic restricted threebody problem. Expressing equations of motion with true anomaly, Lagrangian points are defined and a halo orbit control problem at the L 2 point is discussed. By the change of control variables, constant feedback controllers are designed which maintain a halo orbit of the circular restricted problem. Considering equations of motion relative to the moon, and letting the mass of the moon go to zero, the equations of relative motion along an eccentric orbit are derived. Then formation and reconfiguration problems are formulated, and feedback controllers, based on the Hill-Clohessy-Wiltshire systems, are designed from the point of view of L1-norm minimization.

AB - This paper considers halo orbit control for the Earth-moon elliptic restricted threebody problem. Expressing equations of motion with true anomaly, Lagrangian points are defined and a halo orbit control problem at the L 2 point is discussed. By the change of control variables, constant feedback controllers are designed which maintain a halo orbit of the circular restricted problem. Considering equations of motion relative to the moon, and letting the mass of the moon go to zero, the equations of relative motion along an eccentric orbit are derived. Then formation and reconfiguration problems are formulated, and feedback controllers, based on the Hill-Clohessy-Wiltshire systems, are designed from the point of view of L1-norm minimization.

UR - http://www.scopus.com/inward/record.url?scp=80053368866&partnerID=8YFLogxK

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M3 - Conference contribution

AN - SCOPUS:80053368866

SN - 9780877035572

T3 - Advances in the Astronautical Sciences

SP - 301

EP - 313

BT - Astrodynamics 2009 - Advances in the Astronautical Sciences

Y2 - 9 August 2009 through 13 August 2009

ER -