Physics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..311m&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, April 1984, p. 311-316. Research supported by the Deutsche Forschu
Physics
9
Earth-Moon System, Gravitational Effects, Many Body Problem, Relativity, Solar Orbits, Solar Rotation, Acceleration (Physics), Celestial Mechanics, Gravitation Theory, Orbit Perturbation, Rotating Matter
Scientific paper
A new general-relativistic many-body effect is described. It results in an unexpectedly large relative acceleration between neighboring test particles that follow an inclined orbit about a rotating mass. The effect vanishes if the orbit coincides with the equatorial plane of the rotating mass. The existence of this effect is due to a small divisor involving the deviation of the orbital frequency measured by a comoving clock from the frequency measured by an inertial clock. The influence of the rotation of the sun on the earth-moon system is investigated, and it is shown that the new effect causes a harmonic variation in the earth-moon separation with an amplitude of order 1 m and dominant periods of 18.6 yr, about 0.5 yr, 1 month, and about 0.5 month. The confirmation of these results by the lunar laser-ranging experiment would provide a significant new test of general relativity and a measurement of the angular momentum of the sun.
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