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General precession computed by numerical integration of ordinary differential equations
Author(s) -
Andersen T. B.
Publication year - 1985
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113060108
Subject(s) - right ascension , declination , precession , ordinary differential equation , recurrence relation , mathematical analysis , physics , differential equation , rotation (mathematics) , numerical integration , function (biology) , mathematics , relation (database) , geometry , astrophysics , quantum mechanics , computer science , database , evolutionary biology , biology
It is suggested that the effects of change in the celestial coordinates due to general precession be computed by solving numerically the differential equations for the instataneous rates of change in right ascension and declination. An approximate solution in closed from is given. Similar differential equations may be solved for the complete rotation matrix, requiring only the knowledge of the variations of the two function m and n with time. This suggests the existence of a relation between the classical precessional elements z , ζ 0 and Θ, and this relation is derived. Some numerical examples are also presented.