Statistical method for the determination of asteroid and satellite orbits

Details Statistical method for the determination of asteroid and satellite orbits Statistical method for the determination of asteroid and satellite orbits

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979a%26a....77..320d&link_type=abstract

Astronomy and Astrophysics, vol. 77, no. 3, Aug. 1979, p. 320-326. In French.

Statistics

Asteroids, Estimating, Natural Satellites, Orbit Calculation, Satellite Orbits, Statistical Analysis, Celestial Mechanics, Error Analysis, Kalman Filters, Least Squares Method, Numerical Integration, Orbital Mechanics, Variance (Statistics), Satellites, Asteroids, Orbits, Procedure, Data, Statistical Analysis

Scientific paper

The paper describes a Kalman-Bucy filtering technique of orbit determination. The principle of the method is to compare at every instant the calculated and observed position of a celestial body, taking into account observational errors. The two quantities are considered as two independent measurements of one physical quantity. From these two values a third, more precise value is deduced. The new technique is illustrated by application to the ninth satellite of Jupiter and to Vesta; improvements in orbit determination over the least squares technique are shown.

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