Dexterous and expedient approach strategies considering non-zero eccentricity orbits and J2 perturbations

Recently bio-inspired rendezvous strategies have been investigated for applications in space situation awareness. Particularly, closed-loop solutions have been developed for the cases that the target object is in a circular orbit without considering any orbital perturbations. In this paper, the minimum-fuel consumption bio-inspired motions are further studied. The follow cases considering the J2 perturbation, the non-zero eccentricities, and different boundary conditions are analyzed: (1) the target object is at the local vertical local horizontal coordinate origin; (2) the target is moving in the local vertical local horizontal coordinate; (3) the rendezvous object approaches the target object from the R-bar, V-bar, and Z-bar directions, respectively. Fast solutions can be obtained for the rendezvous object to approach the target object with minimum energy consumption.

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