Research of efficiency of algorithms of method Everhart with high order of approximating formulas

Abstract


The modified algorithm for the numerical integration of the equations of celestial motion by the Everharts method is developed. The study of the effectiveness of the algorithm for approximating high-order formulas is carried. High efficiency of the method is shown on the example of joint integration of the equations of motion of major planets, the Moon, the Sun and the small bodies of Solar system.

About the authors

Artem A Zausaev

Samara State Technical University

Email: zausaevaa@mail.ru
(к.ф.-м.н., доц.), доцент, каф. прикладной математики и информатики; Самарский государственный технический университет; Samara State Technical University

References

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  2. Заусаев А. Ф., Заусаев А. А. Математическое моделирование орбитальной эволюции малых тел Солнечной системы. М.: Машиностроение, 2008. 250 с.
  3. Заусаев А. Ф., Абрамов В. В., Денисов С. С. Каталог орбитальной эволюции астероидов, сближающихся с Землей с 1800 по 2204 гг.. М.: Машиностроение-1, 2007. 608 с.
  4. Modern numerical methods for ordinary differential equations / eds. G. Hall; J. M. Watt. Oxford: Clarendon Press, 1976. 336 pp.
  5. Брумберг В. А. Релятивистская небесная механика. М.: Наука, 1972. 382 с.

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