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Using a Stochastic Lambert Solver for GTOC1

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Last time TR 2990 WX for scientific computing we showed how a 100 CPU Spark cluster may be replaced by a single CPU without any loss of performance for the Messenger-Full GTOP optimization problem. This time we will have a closer look at the GTOC1 problem GTOC1 and its approximation as part of the GTOP database. GTOC1 aims to remove a threat for planet earth caused by an asteroid headed in our direction. A small spaceship using an highly efficient low thrust ion engine is sent to hit the asteriod with so much force it will alter its course. “Force” means high impact speed at the asteroid at the “right” angle while maintaining as much mass as possible – which means use only a minimal amount of propellant. Planet gravity assist (GA) maneuvers help to achieve this goal. In the GTOP database there is simplified version of this problem GTOP - GTOC1 using a fixed planet flyby sequence approximating the low thrust engine fuel consumption by using the delta velocities (DVs) which need to to