Multi-revolution perturbed Lambert problem

The solution of multiple-revolution perturbed Lambert problems is a challenging task due to the high sensitivity of the final state to variations of the initial velocity. In this work two different solvers based on high order Taylor expansions and an analytical solution of the J2 problem are presented. In addition, an iteration-less procedure is developed to refine the solutions in a dynamical model that includes J2 − J4 perturbations. The properties of the proposed approached are tested against transfers with hundreds of revolutions including those required to solve the Global Trajectory Optimisation Competition 9.