RERS2014 and MRS2014: new high-precision solutions for the earth and the moon rotation at long time intervals

Abstract

In this research investigating the Earth and the Moon rotation at long time intervals. It was possible after appearance of new long times JPL ephemeris of DE/LE series, which is describing the orbital motions of the disturbing celestial bodies in the bodies rotation of this problem. Investigation of the discrepancies between high-precision numerical solutions and semi-analytical solutions for the rigid Earth and the rigid Moon rotation problems with respect to the fixed eclipticof epochJ2000,arecarried out byleast-squaresmethod and by spectral analysis methods. As the results of this research have been constructed: new improved high precision rigid Earth rotation seriesRERS2014dynamically agreed with theJPLDE422/LE422 ephemeris over 2000 years. Aside from new long periodical and Puisson terms RERS2014 include new refined the short periodical and Poisson terms (diurnal and sub-diurnal); new high-precision Moon rotation series MRS2014 dynamically agreed with the JPL DE422/LE422 ephemeris over 6000 years. Comparison of the new Series RERS2014 and MRS2014 with the previous solution RERS2013 and MRS2011, respectively, are carried out. The rigid Earth rotaton problem was solved taking into account most significant of the relativistic perturbation in the rotational motion of the Earth -geodetic perturbations. The Moon rotaton problem was solved only for the Newtonian case. Refs 10. Figs 2.

Keywords:

numerical integration, ephemeris, the rigid Earth and rigid Moon rotation