Optimal six- and five-impulses rendezvous on near-circular noncoplanar orbits

The problem of a rendezvous of two spacecrafts on the close near-circular orbits is considered. Impulse parameters are determined using necessary conditions of optimality. Basis-vector theory is used. Nondegenerate six-impulse solutions are considered. For the impulse parameters (points of applications and orientations) analytic expressions with respect to the time of rendezvous are found. Induced five-impulse solutions are found using these expressions. Total $\Delta V$ is compared with those of the Lamberts problem.