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Solution stabilization algorithms for the estimation of small bodies orbital parameters

L. E. Bykova, V. P. Titarenko

Труды ИПА РАН, вып. 8, 45–46 (2002)

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

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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 // Труды ИПА РАН. — 2002. — Вып. 8. — С. 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 = {Труды ИПА РАН}, 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/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 - Труды ИПА РАН 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/library/paper/316/ ER -