On the calculation of the angle J between the mean equators at two different epochs

Details On the calculation of the angle J between the mean equators at two different epochs On the calculation of the angle J between the mean equators at two different epochs

Jul 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997balta...6..145e&link_type=abstract

Baltic Astronomy, vol. 6, p. 145

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Computation

Astronomical Coordinates, Equators, Computational Astrophysics, Polynomials, Nonlinear Equations, Angles (Geometry), Astronomy, Approximation

Scientific paper

Vectors are precessed between the systems of the mean equators at 'epoch' to and 'date' t(o), respectively by xQm(t) = M(t0,t)xQm(t0). One of the arguments of M is the angle J between the mean equators of epoch and date, respectivley. Andoyer (1911) and recent authors approximate J by third-order polynomials in time. For long periods, however, this is inadequate because J varies nonlinearly with time. In this paper, I represent J in the form of a product of an analytical approximation J*, which remains accurate for much larger t - t(o).

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