TY - JOUR
T1 - Periodic orbits of nonlinear relative dynamics and satellite formation
AU - Bando, Mai
AU - Ichikawa, Akira
N1 - Funding Information:
The authors would like to thank the Associate Editor and the reviewers for their helpful comments on the paper. The research of the second author was partly supported by the Ministry of Education, Sports, Science and Technology, Japan, under Grant-in-Aid for Scientific Research (C), no. 19560785.
PY - 2009
Y1 - 2009
N2 - In this paper, leader-follower formation and reconfiguration problems based on the periodic orbits of the nonlinear relative dynamics along a circular orbit are considered. First, initial conditions of coplanar and noncoplanar relative orbits are characterized by the initial true anomaly, mean motion, semimajor axis, eccentricity, and inclination angle of the follower's inertial orbit. Based on the property of null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, L1 suboptimal feedback controllers are designed via the linear quadratic regulator theory. Simulation results for three examples are given. A comparison with the reconfiguration problem based on the periodic orbits of the Hill-Clohessy-Wiltshire equations shows that replacement by nonlinear periodic orbits does not increase the L 1-norm of the feedback control.
AB - In this paper, leader-follower formation and reconfiguration problems based on the periodic orbits of the nonlinear relative dynamics along a circular orbit are considered. First, initial conditions of coplanar and noncoplanar relative orbits are characterized by the initial true anomaly, mean motion, semimajor axis, eccentricity, and inclination angle of the follower's inertial orbit. Based on the property of null controllability with vanishing energy of the Hill-Clohessy-Wiltshire equations, L1 suboptimal feedback controllers are designed via the linear quadratic regulator theory. Simulation results for three examples are given. A comparison with the reconfiguration problem based on the periodic orbits of the Hill-Clohessy-Wiltshire equations shows that replacement by nonlinear periodic orbits does not increase the L 1-norm of the feedback control.
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U2 - 10.2514/1.41438
DO - 10.2514/1.41438
M3 - Article
AN - SCOPUS:68049143190
SN - 0731-5090
VL - 32
SP - 1200
EP - 1208
JO - Journal of Guidance, Control, and Dynamics
JF - Journal of Guidance, Control, and Dynamics
IS - 4
ER -