Optimal Rendezvous for Elliptical Reference Orbits in Specified Regions

Coplanar and non-coplanar optimal rendezvous problems for elliptical reference orbits in specified regions were studied.To implement optimal rendezvous in a specified region,the linear time-varying Tschauner-Hempel model was used to describe the relative dynamics in rendezvous.Then the rendezvous region was set according to true anomaly and the control strategies were designed on a quadratic performance index with the weighted matrix as the functions of true anomaly.To make the optimal controls easily,an interval mixed-energy method was used to solve the time-varying Riccati differential equations.The non-coplanar and coplanar rendezvous with long distance and short distance in given true anomaly regions were simulated and compared.The results indicated that the rendezvous can be completed in the specified region with less fuel expenditure and high precision.