Double swingby at Earth-Moon for increase of excess velocity

Computer Science

Scientific paper

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Earth-Moon System, Flyby Missions, Space Probes, Spacecraft Trajectories, Swingby Technique, Three Body Problem, Trajectory Planning, Elliptical Orbits, Equations Of Motion, Gravitational Effects, Kinematics, Moon, Two Body Problem

Scientific paper

The minimal start velocity for leaving the Earth-Moon system is analytically determined in the framework of the three body problem (spaceprobe, Earth, and Moon). The patched conic method for precise trajectory calculation is presented. Space probe, Earth, and Moon were considered as point objects and motion differential equations were solved with Jacobi integral and Hill curves. Numerical integration was carried out with Runge-Kutta method. Start velocity for the free flight Moon swing by was iteratively ascertained. A sensitivity analysis was conducted for estimating accuracy of space vector of Moon and velocity vector of spaceprobe components.

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