The equivalence principle and the anomalous motions of solar system bodies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Equivalence, Orbit Perturbation, Planets, Solar Orbits, Celestial Bodies, Gravitational Effects, Lunar Orbits, Orbital Elements, Planetary Mass, Satellite Perturbation, Solar System

Scientific paper

Anomalies in planetary motions due to the violation of the equivalence principle for massive bodies are calculated within the framework of celestial mechanics. Secular perturbations of the angular orbital elements, perturbations of radius vectors and longitudes and perturbations in satellite motion are evaluated numerically for the inner planets and the moon in terms of the five-argument trigonometric series representation of celestial body coordinates of Brumberg (1966). Comparison of the calculations with astronomical observations indicates the equivalence of the inertial and gravitational masses of the planets to within a factor of 0.001 to 0.0001.

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