Earth's rotation in the framework of general relativity: rigid multipole moments

TL;DR

This paper develops a set of equations within general relativity to model Earth's rotation, considering rigid multipole moments and external monopoles, aiming to improve the theoretical understanding of Earth's precession and nutation.

Contribution

It introduces a new theoretical framework for Earth's rotational motion based on rigid multipole moments in general relativity, suitable for post-Newtonian calculations.

Findings

Formulated equations for Earth's rotation relative to GCRS

Provides a theoretical basis for post-Newtonian Earth precession and nutation models

Assumes external bodies as mass monopoles

Abstract

A set of equations describing the rotational motion of the Earth relative to the GCRS is formulated in the approximation of rigidly rotating multipoles. The external bodies are supposed to be mass monopoles. The derived set of formulas is supposed to form the theoretical basis for a practical post-Newtonian theory of Earth precession and nutation.