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A Method of Differential Perturbations for Solving Ephemeris Problems

Yu. S. Bondarenko, Yu. D. Medvedev, P. P. Yas'ko

Transactions of IAA RAS, issue 23, 172–179 (2012)

Keywords: dynamic model, the method of differential perturbations, ephemeris, the differential equation of motion, numerical theory

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Abstract

The method of differential perturbations is proposed to solve the problems of ephemeris astronomy. In this method the intermediate orbit is determined by the existing numerical theory and the perturbations are calculated with respect to this intermediate orbit. Using the proposed method the perturbations of nonmassive asteroids in the motion of Mars and Neptune are estimated. Also, the problem of corrections for the existing ephemerides is considered taking into account new observations.

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Yu. S. Bondarenko, Yu. D. Medvedev, P. P. Yas'ko . A Method of Differential Perturbations for Solving Ephemeris Problems // Transactions of IAA RAS. — 2012. — Issue 23. — P. 172–179. @article{bondarenko2012, abstract = {The method of differential perturbations is proposed to solve the problems of ephemeris astronomy. In this method the intermediate orbit is determined by the existing numerical theory and the perturbations are calculated with respect to this intermediate orbit. Using the proposed method the perturbations of nonmassive asteroids in the motion of Mars and Neptune are estimated. Also, the problem of corrections for the existing ephemerides is considered taking into account new observations.}, author = {Yu.~S. Bondarenko and Yu.~D. Medvedev and P.~P. Yas'ko}, issue = {23}, journal = {Transactions of IAA RAS}, keyword = {dynamic model, the method of differential perturbations, ephemeris, the differential equation of motion, numerical theory}, pages = {172--179}, title = {A Method of Differential Perturbations for Solving Ephemeris Problems}, url = {http://iaaras.ru/en/library/paper/770/}, year = {2012} } TY - JOUR TI - A Method of Differential Perturbations for Solving Ephemeris Problems AU - Bondarenko, Yu. S. AU - Medvedev, Yu. D. AU - Yas'ko, P. P. PY - 2012 T2 - Transactions of IAA RAS IS - 23 SP - 172 AB - The method of differential perturbations is proposed to solve the problems of ephemeris astronomy. In this method the intermediate orbit is determined by the existing numerical theory and the perturbations are calculated with respect to this intermediate orbit. Using the proposed method the perturbations of nonmassive asteroids in the motion of Mars and Neptune are estimated. Also, the problem of corrections for the existing ephemerides is considered taking into account new observations. UR - http://iaaras.ru/en/library/paper/770/ ER -