Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...234..275m&link_type=abstract
Astrophysical Journal, Part 1, vol. 234, Nov. 15, 1979, p. 275-288. NSF-supported research.
Astronomy and Astrophysics
Astrophysics
27
Binary Stars, Celestial Mechanics, Fourier Transformation, Orbit Calculation, Stellar Motions, Equations Of Motion, Kepler Laws, Orbital Elements, Orbital Mechanics
Scientific paper
This paper details the solutions of binary star orbits based on the Fourier transform of the equations of motion. The method has the advantages of a least-squares fit to the weighted observations, noniterative and impersonal solution of the exact equations, and adequate error analysis. The method is applied to spectroscopic and visual binary systems. In addition, it allows for the solution of an orbit based on the position angles and separations separately. The relevant equations for each of the four cases are presented. An algorithm for the implementation of each solution is discussed. Sample orbits were calculated by the Fourier transform method, and the results are compared, when possible, with previously published orbits for the same systems.
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