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Precession/Nutation Solution Consistent with the General Planetary Theory

Transactions of IAA RAS, issue 14, 225–250 (2006)

Keywords: Very Long Baseline Interferometry (VLBI), geodynamics, translatory motion of the major planets and the Moon, Earth's rotation, planetary and lunar orbits, evolutionary variables with quasi-periodic coefficients, precession/nutation solution, 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

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V. A. Brumberg, T. V. Ivanova. Precession/Nutation Solution Consistent with the General Planetary Theory // Transactions of IAA RAS. — 2006. — Issue 14. — P. 225–250.

@article{brumberg2006,
  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},
  author = {V.~A. Brumberg and T.~V. Ivanova},
  issue = {14},
  journal = {Transactions of IAA RAS},
  keyword = {Very Long Baseline Interferometry (VLBI), geodynamics, translatory motion of the major planets and the Moon, Earth's rotation, planetary and lunar orbits, evolutionary variables with quasi-periodic coefficients, precession/nutation solution, general planetary theory},
  pages = {225--250},
  title = {Precession/Nutation Solution Consistent with the General Planetary Theory},
  url = {http://iaaras.ru/en/library/paper/485/},
  year = {2006}
}

TY  - JOUR
TI  - Precession/Nutation Solution Consistent with the General Planetary Theory
AU  - Brumberg, V. A.
AU  - Ivanova, T. V.
PY  - 2006
T2  - Transactions of IAA RAS
IS  - 14
SP  - 225
AB  -   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
UR  - http://iaaras.ru/en/library/paper/485/
ER  -