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Precession/Nutation Solution Consistent with the General Planetary Theory

V. A. Brumberg, T. V. Ivanova

Труды ИПА РАН, вып. 14, 225–250 (2006)

Ключевые слова: 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

Аннотация

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 // Труды ИПА РАН. — 2006. — Вып. 14. — С. 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 = {Труды ИПА РАН}, 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/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 - Труды ИПА РАН 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/library/paper/485/ ER -