New precession formula

Details New precession formula New precession formula

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005hia....13..606f&link_type=abstract

In: Highlights of Astronomy, Vol. 13, as presented at the XXVth General Assembly of the IAU - 2003 [Sydney, Australia, 13 - 26 J

Astronomy and Astrophysics

Astronomy

Precession

Scientific paper

First we modified J.G. Williams' formulation of precession/nutation by using the 3-1-3-1 rotation matrix as NP = R1( -ɛ -Δɛ) R1( -ψ -Δψ) R1(ϕ) R1(γ). Next we determined the polynomial formulas of the modified planetary precession angles numerically from the non-linear harmonic analysis of DE405. Then we estimated those of the modified luni-solar precession angles from their corrections converted from the VLBI pole offset observations during 1979-2000 by adopting the above planetary precession formulas and a recent theory of nutation SF2001. The results in the rotational sense are γR = +0.04126 +10.55378 t +0.49318 t2 ϕR = 84381.41461 -46.81325 t +0.04843 t2 ψR = -0.04305 +5038.47776 t +1.55835 t2 ɛR = 84381.40955 -46.83607 t -0.00017 t2 +0.00200 t3 and the differences between the rotational and inertial senses are γR - γI = +0.09366 +0.00060 t ϕR - ϕI = +0.00334 -0.00060 t ψR - ψI = -0.00001 -0.00035 t ɛR - ɛI = +0.00334 -0.00148 t. These consitute a new set of precession formulas referred to ICRF.

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