Periodic returns of the earth and other planets in identical situations - Application to research for better oppositions for the planet Mars

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Orbital Mechanics, Planets, Solar Orbits, Astrometry, Astronomical Coordinates, Earth (Planet), Mars (Planet)

Scientific paper

The reoccurrence of a particular planetary alignment in the solar system, i.e., the sun-earth-other planet, is considered algebraically, with attention given to a return to an identical position. The planets are assumed to follow circular, concentric, and coplanar orbits. A formulation is developed for obtaining the synodic revolution of the planet into a conjunction, and it is shown that a multiple of the synodic revolution can be defined that quantifies the time before the same positions are repeated. Examples are furnished in terms of earth-sun conjunctions with Mercury and Mars.

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