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The fifth-order analytical solution of the equations of motion of a satellite in orbit around a non-spherical planetстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 декабря 2020 г.
- Автор: Kudryavtsev Sergey M.
- Журнал: Celestial Mechanics and Dynamical Astronomy
- Том: 61
- Номер: 2
- Год издания: 1995
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- Первая страница: 207
- Последняя страница: 215
- DOI: 10.1007/BF00051893
- Аннотация: A high-precise analytical theory of a satellite in orbit around a non-spherical planet has been developed. The Poisson's small parameter method has been used. All secular and short-periodic perturbations proportional up to and including a product of five arbitrary harmonic coefficients of the planetary expansion are calculated. Long-periodic perturbations are derived with the accuracy of up to the fourth-order, inclusive. The influence of the high-order perturbations on the motion of ETALON-1 satellite has been investigated. The results of comparison of the numerical and analytical integration of the equations of its motion over a five year interval are as follows: the r.m.s difference between the positions is 1.1 cm; and the r.m.s. difference between the ranges is 0.5 cm. The theory is intended to be used for processing precise laser range measurements of the Earth geodynamical satellites over long-term intervals.
- Добавил в систему: Кудрявцев Сергей Михайлович