Numerical searches and optimal control of J2 invariant orbits
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In this paper we investigate numerical searches and optimal control of J2 invariant orbits. For passive J2 invariant orbits we use linear and nonlinear searches to find the optimal differential elements which minimize the secular drifts. This result agrees with the solution from the periodic matching conditions. We propose an analytical optimal control law based on the state transition matrix for maintenance and reconfiguration of J2 invariant orbits. Numerical solutions show the control law works well.