On constructing the general Earth’s rotation theory View Full Text


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Article Info

DATE

2011-04

AUTHORS

V. A. Brumberg, T. V. Ivanova

ABSTRACT

In the present paper the equations of the orbital motion of the major planets and the Moon and the equations of the three–axial rigid 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 can be presented by means of the series in powers of the evolutionary variables with quasi-periodic coefficients with respect to the planetary–lunar mean longitudes. This form of the Earth’s rotation problem is compatible with the general planetary theory involving the separation of the short–period and long–period variables and avoiding the appearance of the non–physical secular terms. More... »

PAGES

385-408

References to SciGraph publications

  • 2010-03. Relativistic Celestial Mechanics on the verge of its 100 year anniversary in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1985-09. Hamiltonian formalism for Euler parameters in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1996-03. Large scale chaos and marginal stability in the solar system in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2007-03. Precession/nutation solution consistent with the general planetary theory in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1995. Analytical Techniques of Celestial Mechanics in NONE
  • 1970-06. On the computation of the spherical harmonic terms needed during the numerical integration of the orbital motion of an artificial satellite in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10569-011-9334-6

    DOI

    http://dx.doi.org/10.1007/s10569-011-9334-6

    DIMENSIONS

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