GPU accelerated genetic algorithm for in-SAR cluster configuration keeping across-track baseline under the J2 perturbation

In recent years, distributed small satellites interferometer synthetic aperture radar (InSAR) has been attracted many attentions for superior performance and potential application. According to the digital elevation model, the across-track baseline is one of important factors, which determined by the relative height measurement accuracy. The across-track baseline of the InSAR system can't configure to constant unless infinite satellites are employed. Fortunately, we can get the near-constant across-track baseline from 3-satellites formation. The paper present the existence of J₂ invariant relative orbits by the parameters of (E, Hz,δr), which based on the arbitrary relative magnitude over the infinite time using the Routh reduction and Poincare techniques in the J₂ Hamiltonian problem. It is optimized by the GPU accelerated Genetic Algorithm to have the best J ₂ invariant relative orbit, and then it design the configuration form the crafts' magnitudes and phases. Copyright