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Solution stabilization algorithms for the estimation of small bodies orbital parameters

L. E. Bykova, V. P. Titarenko

Transactions of IAA RAS, issue 8, 45–46 (2002)

Keywords: Very Long Baseline Interferometry (VLBI), celestial mechanics, orbital parameters, small celestial bodies

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Abstract

Sometimes there is not enough information for the correct improvement of the orbits of the Solar system small bodies. As a rule it is caused by lack of observations or by too short arc of orbit covered by observations. Therefore one can obtain only a set X of acceptable solutions satisfying the given observations with the adequate accuracy. In this work some stabilization algorithms for solution of such problems have been considered. Algorithms have been constructed on the basis of a linear least squares method using additional a priori information about the solution. This additional information is given as restrictions on the solution or its components.

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L. E. Bykova, V. P. Titarenko. Solution stabilization algorithms for the estimation of small bodies orbital parameters // Transactions of IAA RAS. — 2002. — Issue 8. — P. 45–46. @article{bykova2002, abstract = {Sometimes there is not enough information for the correct improvement of the orbits of the Solar system small bodies. As a rule it is caused by lack of observations or by too short arc of orbit covered by observations. Therefore one can obtain only a set X of acceptable solutions satisfying the given observations with the adequate accuracy. In this work some stabilization algorithms for solution of such problems have been considered. Algorithms have been constructed on the basis of a linear least squares method using additional a priori information about the solution. This additional information is given as restrictions on the solution or its components.}, author = {L.~E. Bykova and V.~P. Titarenko}, issue = {8}, journal = {Transactions of IAA RAS}, keyword = {Very Long Baseline Interferometry (VLBI), celestial mechanics, orbital parameters, small celestial bodies}, pages = {45--46}, title = {Solution stabilization algorithms for the estimation of small bodies orbital parameters}, url = {http://iaaras.ru/en/library/paper/316/}, year = {2002} } TY - JOUR TI - Solution stabilization algorithms for the estimation of small bodies orbital parameters AU - Bykova, L. E. AU - Titarenko, V. P. PY - 2002 T2 - Transactions of IAA RAS IS - 8 SP - 45 AB - Sometimes there is not enough information for the correct improvement of the orbits of the Solar system small bodies. As a rule it is caused by lack of observations or by too short arc of orbit covered by observations. Therefore one can obtain only a set X of acceptable solutions satisfying the given observations with the adequate accuracy. In this work some stabilization algorithms for solution of such problems have been considered. Algorithms have been constructed on the basis of a linear least squares method using additional a priori information about the solution. This additional information is given as restrictions on the solution or its components. UR - http://iaaras.ru/en/library/paper/316/ ER -