<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The rigid Moon rotation problem is studied for the relativistic (kinematical) case, in which the geodetic perturbations in the Moon rotation are taken into account. As the result of this research the high-precision Moon Rotation Series MRS2016 in the relativistic approximation was constructed for the first time and the discrepancies between the high-precision numerical and the semi-analytical solutions of the rigid Moon rotation were investigated with respect to the fixed ecliptic of epoch J2000, by the numerical and analytical methods. The residuals between the numerical solution and MRS2016 in the perturbing terms of the physical librations do not exceed 80 mas and 10 arc seconds over 2000 and 6000 years, respectively.</p></abstract>

The rigid Moon rotation problem is studied for the relativistic (kinematical) case, in which the geodetic perturbations in the Moon rotation are taken into account. As the result of this research the high-precision Moon Rotation Series MRS2016 in the relativistic approximation was constructed for the first time and the discrepancies between the high-precision numerical and the semi-analytical solutions of the rigid Moon rotation were investigated with respect to the fixed ecliptic of epoch J2000, by the numerical and analytical methods. The residuals between the numerical solution and MRS2016 in the perturbing terms of the physical librations do not exceed 80 mas and 10 arc seconds over 2000 and 6000 years, respectively.

MRS2016: Rigid Moon Rotation Series in the Relativistic Approximation

Central (Pulkovo) Astronomical Observatory of RAS, Pulkovskoe shosse, 65/1, 196140, St.Petersburg,

Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"MRS2016: Rigid Moon Rotation Series in the Relativistic Approximation"}

The rigid Moon rotation problem is studied for the relativistic (kinematical) case, in which the geodetic perturbations in the Moon rotation are taken into...

MRS2016: Rigid Moon Rotation Series in the Relativistic Approximation

Published Online: Mar 30, 2017

Page range: 1 - 8

Received: Oct 26, 2016

Accepted: Feb 24, 2017

DOI: https://doi.org/10.1515/arsa-2017-0001

Keywords
the rigid Moon rotation, ephemerides, the numerical and the semi-analytical solutions, the relativistic approximation

© 2017 Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

MRS2016: Rigid Moon Rotation Series in the Relativistic Approximation

Published Online: Mar 30, 2017

Page range: 1 - 8

Received: Oct 26, 2016

Accepted: Feb 24, 2017

DOI: https://doi.org/10.1515/arsa-2017-0001

Keywordsthe rigid Moon rotation, ephemerides, the numerical and the semi-analytical solutions, the relativistic approximation

© 2017 Artificial Satellites

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
the rigid Moon rotation, ephemerides, the numerical and the semi-analytical solutions, the relativistic approximation