Abstract
This research is the continuation of our studies of the rigid Earth rotation at a long time intervals (Pashkevich V.V. and Eroshkin G.I., 2005). The main purpose of this investigation is the construction of the new high-precision Rigid Earth Rotation Series 2012 (RERS2012), dynamically adequate to the JPL DE406/LE406 ephemeris (Standish E. M., 1998). The dynamics of the rotational motion of the rigid Earth is studied numerically by using Rodrigues-Hamilton parameters over 2000 and 6000 years. The numerical solution of the rigid Earth rotation is implemented with the quadruple precision of the calculations. The orbital motions of the disturbing celestial bodies are defined by the DE406/LE406 ephemeris. The initial conditions of the numerical integration are taken from SMART97 (Bretagnon P. et al., 1998) and S9000 (Pashkevich V.V. and Eroshkin G.I. 2005). The results of the numerical solutions of the problem are compared with the semi-analytical solutions of the rigid Earth rotation (SMART97 and S9000, respectively) with respect to the fixed ecliptic of epoch J2000. The investigation of these discrepancies is carried out by the least squares and spectral analysis methods for the relativistic (Kinematical) case, in which the geodetic perturbations (the most essential relativistic perturbations) in the Earth rotation
Highlights
INTRODUCTIONIn the previous research (Pashkevich V.V. and Eroshkin G.I. 2005) the high-precision rigid Earth rotation semi-analytical solutions of S9000, dynamically adequate to the DE404/LE404 ephemeris, was constructed over 2000 year time interval
In the previous research (Pashkevich V.V. and Eroshkin G.I. 2005) the high-precision rigid Earth rotation semi-analytical solutions of S9000, dynamically adequate to the DE404/LE404 ephemeris, was constructed over 2000 year time interval.The main purpose of this investigation is the construction of the new high-precision rigid Earth rotation series (RERS2012A/B and RERS2012C/D), dynamically adequate to the JPL DE406/LE406 ephemeris
The initial conditions of the numerical integration are taken from SMART97 (Bretagnon P. et al, 1998) for the construction of the series RERS2012A/C and from S9000 (Pashkevich V.V. and Eroshkin G.I. 2005) for the construction of the series RERS2012B/D
Summary
In the previous research (Pashkevich V.V. and Eroshkin G.I. 2005) the high-precision rigid Earth rotation semi-analytical solutions of S9000, dynamically adequate to the DE404/LE404 ephemeris, was constructed over 2000 year time interval. The main purpose of this investigation is the construction of the new high-precision rigid Earth rotation series (RERS2012A/B and RERS2012C/D), dynamically adequate to the JPL DE406/LE406 ephemeris M., 1998), over 2000 and 6000 years (full time interval of the DE406/LE406 ephemeris existence), respectively. The initial epoch of the numerical integration is 1 January 2000 (JD=2451545.0). The initial conditions of the numerical integration are taken from SMART97 (Bretagnon P. et al, 1998) for the construction of the series RERS2012A/C and from S9000 (Pashkevich V.V. and Eroshkin G.I. 2005) for the construction of the series RERS2012B/D. The mathematical model of the present investigation is identical to that used by Pashkevich and Eroshkin (2005)
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