Computer studies of the evolution of planetary and satellite systems. I Description of the program: Preliminary tests

Computer Science

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Computer Programs, Computerized Simulation, Natural Satellites, Planetary Evolution, Cdc Cyber 74 Computer, Data Processing, Elastic Scattering, Orbital Elements, Planetary Mass, Planetary Orbits, Program Verification (Computers)

Scientific paper

A CDC-Cyber 74 computer program was run to investigate the orbital evolution of a system of solid objects of various masses with common meeting point(s) in orbit around a central body, as well as the possible development of commensurability between revolution periods. Only gravitational interactions between orbiting bodies were considered, but energy consumption due to gravitational friction was taken into account. The first experiment consisted of nine planets with two meeting points and took 21 sec; the second had 12 planets with one meeting point, took 6 min, and contained positional correcting of the interaction points introduced, and a friction parameter that was increased from 0.2 to 0.5. In both experiments the total angular momentum remained virtually constant, but there was a reduction of total energy, semimajor axes, and eccentricities and a development towards coplanar orbits, while the meeting points remained close to their original positions.

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