Precession/nutation solution consistent with the general planetary theory

V. A. Brumberg, T. V. Ivanova

Celestial Mechanics and Dynamical Astronomy, 97(3), 189-210 (2007)

Keywords: Earth’s rotation theory, Euler parameters, Secular system, General planetary theory

Abstract

In the present paper the equations of the translatory motion of the major planets and the Moon and the Poisson equations of the Earth’s rotation in Euler parameters are reduced to the secular system describing the evolution of the planetary and lunar orbits (independent of the Earth’s rotation) and the evolution of the Earth’s rotation (depending on the planetary and lunar evolution). Hence, the theory of the Earth’s rotation is presented by means of the series in powers of the evolutionary variables with quasi-periodic coefficients.