A statistical method for the determination of orbits of asteroids and satellites.
Abstract
The paper describes a KalmanBucy 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.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 August 1979
 Bibcode:
 1979A&A....77..320D
 Keywords:

 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;
 Astronomy; Asteroids; Planets;
 Minor Planets:Orbit Determination;
 Orbit Determination:Planetary Satellites