Computer Science – Numerical Analysis
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976stin...7632083t&link_type=abstract
Unknown
Computer Science
Numerical Analysis
Astronomical Coordinates, Stellar Motions, Transformations (Mathematics), Algorithms, Numerical Analysis, Position (Location), Power Series, Vectors (Mathematics), Velocity
Scientific paper
The procedures for performing precision corrections of stellar position and velocity vectors are presented. Both the effects of motion relative to the chosen coordinate system (i.e., the equatorial system) and motion of the coordinate system relative to inertial space are considered. Details are presented for using both rigorous formulas and power series expansions. Errors in the power series method are evaluated by actually applying the algorithm to the FK4 (1963; 1535 stars). In addition, instructions are given for performing updates at multiple epochs with a minimum of computation.
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