TY - GEN
T1 - Second-order analytical solution to fuel-optimal control problems in satellite formation flying
AU - Lee, Sangjin
AU - Park, Sang Young
PY - 2010
Y1 - 2010
N2 - In this paper, a new analytical solution to optimal control problems in formation flying is presented, including the differential gravity effects to the second order. The perturbation approach and the calculus of variations are applied to the optimal control problems in order to obtain an approximate analytical solution. A nonlinear relative dynamics that includes quadratic terms in the differential gravitational accelerations is used. For the sake of validity, numerical simulations are performed for satellite reconfiguration cases in which the distance between the satellites is large. Finally, the improved accuracy of the new analytical solution ensuring reasonable fuel usage is confirmed.
AB - In this paper, a new analytical solution to optimal control problems in formation flying is presented, including the differential gravity effects to the second order. The perturbation approach and the calculus of variations are applied to the optimal control problems in order to obtain an approximate analytical solution. A nonlinear relative dynamics that includes quadratic terms in the differential gravitational accelerations is used. For the sake of validity, numerical simulations are performed for satellite reconfiguration cases in which the distance between the satellites is large. Finally, the improved accuracy of the new analytical solution ensuring reasonable fuel usage is confirmed.
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M3 - Conference contribution
AN - SCOPUS:80053417245
SN - 9780877035602
T3 - Advances in the Astronautical Sciences
SP - 933
EP - 948
BT - Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences
T2 - AAS/AIAA Space Flight Mechanics Meeting
Y2 - 14 February 2010 through 17 February 2010
ER -