Email this article Research of efficiency of algorithms of method Everhart with high order of approximating formulas
- Authors: Zausaev A.A1
-
Affiliations:
- Samara State Technical University
- Issue: Vol 16, No 2 (2012)
- Pages: 164-173
- Section: Articles
- URL: https://journal-vniispk.ru/1991-8615/article/view/20916
- ID: 20916
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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
- verhart E. Implicit Single-Sequence Methods for Integrating Orbits // Cel. Mech., 1974. Vol. 10, no. 1. Pp. 35-55.
- Заусаев А. Ф., Заусаев А. А. Математическое моделирование орбитальной эволюции малых тел Солнечной системы. М.: Машиностроение, 2008. 250 с.
- 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.
- Modern numerical methods for ordinary differential equations / eds. G. Hall; J. M. Watt. Oxford: Clarendon Press, 1976. 336 pp.
- Брумберг В. А. Релятивистская небесная механика. М.: Наука, 1972. 382 с.
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