Optimal trajectories for a multiple rendezvous mission to asteroids

Statistics – Computation

Scientific paper

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Asteroid Missions, Interplanetary Trajectories, Ion Propulsion, Trajectory Optimization, Boundary Conditions, Boundary Value Problems, Lunar Gravitation, Spacecraft Maneuvers, Swingby Technique

Scientific paper

Optimal trajectories are designed for an ion-driven spacecraft from earth to the asteroid 8 Flora with an intermediate stop at 4 Vesta under the constraints imposed by a low-cost mission scenario. For each set of boundary conditions and constraints, the problem is transformed into a multipoint boundary value problem which is solved by the multiple shooting method. Complete flight trajectories are fully optimized, including a moon swing-by maneuver (with thrusters in operation) and spiraling down to and up from low asteroid orbits. The swing-by maneuver at the moon reduces the transfer time to the first rendezvous target asteroid 4 Vesta by about 9 months. No simplification or 'splitting up' in the computation of the flight trajectories are made.

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