Numerical Study of Temporary Gravitational Capture Using the Restricted Three-Body Problem

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Three Body Problem, Gravitational Effects, Gravitational Fields, Orbital Maneuvers, Orbital Mechanics, Earth-Moon Trajectories, Transfer Orbits, Lunar Gravitational Effects, Space Navigation, Fuel Consumption, Lunar Flight, Centripetal Force

Scientific paper

Coming from outside the gravitational sphere of influence of a celestial body, a spacecraft may have its relative velocity reduced, to the point of causing it to enter in a temporary orbit around this celestial body. This phenomena is called temporary gravitational capture and can be used to reduce the fuel consumption in a complete transfer between the Earth and the Moon. This work studies the forces acting in this system and, using the method based in the two body energy concept, shows a parametric study about the time of flight and the eccentricity of the primaries in the gravitational capture maneuver. Several others facts related to this problem are also studied in detail.

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