Numerical investigation of collision orbits of lunar satellites

Statistics – Computation

Scientific paper

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Earth-Moon System, Gravitational Effects, Lunar Satellites, Meteorite Collisions, Natural Satellites, Orbital Mechanics, Celestial Bodies, Computational Astrophysics, Lunar Craters, Lunar Far Side, Meteorite Craters, Three Body Problem, Two Body Problem

Scientific paper

A numerical investigation of the collision orbits of the natural satellites (meteorites) of the moon is presented, and the tendency of the satellites to collide on the visible or the far side of the moon is examined in detail. The collision courses of the satellites are studied upto the time of impact on the lunar surface, taking into account perturbations in initial orbits due to the explosion of a meteorite. Initial conditions for satellite position are found for both near-side and far-side impact points on the lunar surface. The initial velocities of the satellite are calculated, taking into account the gravitational effects of the earth and sun. It is found that the presence of the earth and the sun has important influence on the collision orbit of a meteorite, and may be the most important factor determining the point of impact on the near-side or far-side of the moon. On the basis of the obtained distribution of collision points on the moon, it is concluded that collisions have a tendency to occur along the ancient lunar equatorial plane. A line drawing is provided in order to illustrate the theoretical calculations.

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