Determination of the orbit of a visual binary by the method of parameters of the apparent motion from observations over a short arc

Details Determination of the orbit of a visual binary by the method of parameters of the apparent motion from observations over a short arc Determination of the orbit of a visual binary by the method of parameters of the apparent motion from observations over a short arc

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57.1227k&link_type=abstract

(Astronomicheskii Zhurnal, vol. 57, Nov.-Dec. 1980, p. 1227-1241.) Soviet Astronomy, vol. 24, Nov.-Dec. 1980, p. 708-716. Trans

Astronomy and Astrophysics

Astronomy

18

Astronomical Photography, Binary Stars, Orbit Calculation, Orbital Elements, Stellar Motions, Equations Of Motion, Least Squares Method, Radial Velocity, Stellar Parallax

Scientific paper

The problem of determining the orbital elements of a visual binary on the basis of highly accurate observations of a short arc of this orbit is examined. It is shown that in a rigorous statement the problem can be solved by the differential dynamic method, using the observations to determine the vectors of the relative position and relative velocity of the components of the binary. The method of parameters of apparent motion (the PAM) method is used to solve the problem under consideration. The fundamental importance of the radius of curvature of the apparent arc of the orbit of the binary in the problem of determining its orbit is established. The PAM method is applied to determine the orbits of three nearby binaries, ADS 48, ADS 7251, and 61 Cyg.

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