Post-Newtonian effects on satellite orbits near Jupiter and Saturn

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Jupiter (Planet), Natural Satellites, Orbital Elements, Relativistic Effects, Satellite Orbits, Saturn (Planet), Celestial Mechanics, Doppler Radar, Mercury (Planet), Pioneer 10 Space Probe, Pioneer 11 Space Probe, Relativity, Satellite-Borne Instruments, Solar System, Stellar Magnitude, Jupiter, Saturn, Beta Particles, Gravitational Fields, Mercury, Orbits, Gamma Particles, Observations, Earth, Perihelion, Doppler Effect, Spacecraft, Gravity, Earth-Based Observations, Celestial Mechanics

Scientific paper

Two approaches to measuring the parameterized post-Newtonian parameters beta and gamma by using the gravitational fields of the gas giant planets are considered. First, it is noted that the post-Newtonian pericenter precession rates of the innermost moons of these planets are the largest in the solar system, being many times larger than that of Mercury. The observations of these objects to date are reviewed, and techniques that could well render this effect measurable are suggested. Second, the post-Newtonian effects on the orbit of a spacecraft are considered. It is argued that with currently available techniques, the Doppler tracking of a spacecraft could determine the post-Newtonian effect on the orbit to the few percent level.

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