Accuracy of symmetric multi-step methods for the numerical modelling of satellite motion

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.17516/1997-1397-2020-13-6-781-791

Ключевые слова: linear multistep method, orbit, pece scheme, störmer-cowell method, symmetric method

Аннотация: Stability of high-order linear multistep Störmer-Cowell and symmetric methods are discussed in detail in this paper. Efficient algorithms for obtaining intervals of absolute stability and periodicity are given for these methods. To demonstrate the accuracy of numerical integration of the orbit over an interval about one year two moПоказать полностьюdel problems are considered. First problem is the 3D Kepler problem. Second one is a specially designed 3D model problem that has the exact solution and simulates the Earth-Moon-satellite system. © Siberian Federal University. All rights reserved.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 13, Is. 6

Номера страниц: 781-791

ISSN журнала: 19971397

Издатель: Siberian Federal University

Персоны

  • Karepova Evgenia D. (Inst Computat Modeling SB RAS, Krasnoyarsk, Russia)
  • Adaev Iliya R. (Siberian Fed Univ, Krasnoyarsk, Russia)
  • Shan'ko Yury (Inst Computat Modeling SB RAS, Krasnoyarsk, Russia)