Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-23T02:51:42.263Z Has data issue: false hasContentIssue false

A supplementary note on constructing the general Earth's rotation theory

Published online by Cambridge University Press:  05 January 2015

Victor A. Brumberg
Affiliation:
Institute of Applied Astronomy, St.–Petersburg, 191187, Russia email: [email protected], [email protected]
Tamara V. Ivanova
Affiliation:
Institute of Applied Astronomy, St.–Petersburg, 191187, Russia email: [email protected], [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Representing a post-scriptum supplementary to a previous paper of the authors Brumberg & Ivanova (2011) this note aims to simplify the practical development of the Earth's rotation theory, in the framework of the general planetary theory, avoiding the non–physical secular terms and involving the separation of the fast and slow angular variables, both for planetary–lunar motion and Earth's rotation. In this combined treatment of motion and rotation, the fast angular terms are related to the mean orbital longitudes of the bodies, the diurnal and Euler rotations of the Earth. The slow angular terms are due to the motions of pericenters and nodes, as well as the precession of the Earth. The combined system of the equations of motion for the principal planets and the Moon and the equations of the Earth's rotation is reduced to the autonomous secular system with theoretically possible solution in a trigonometric form. In the above–mentioned paper, the Earth's rotation has been treated in Euler parameters. The trivial change of the Euler parameters to their small declinations from some nominal values may improve the practical efficiency of the normalization of the Earth's rotation equations. This technique may be applied to any three-axial rigid planet. The initial terms of the corresponding expansions are given in the Appendix.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2014 

References

Brumberg, V. & Ivanova, T. 2011, Cel. Mech. Dyn. Astron. 109, 385CrossRefGoogle Scholar