INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER

Автор(и)

  • O. A. Bazyey Department of Astronomy, Odessa State University T.G.Shevchenko Park, Odessa 65014 Ukraine, Ukraine
  • I. V. Kara Department of Astronomy, Odessa State University T.G.Shevchenko Park, Odessa 65014 Ukraine, Ukraine

DOI:

https://doi.org/10.18524/1810-4215.2005.18.98234

Ключові слова:

numerical integration, numerical simulation, methods of integration.

Анотація

Equations of celestial bodies' motion in coordinates are solved by numerical Runge-Kutt method. The coefficients of Runge-Kutt method in the 10th order are obtained. The solutions are compared by methods of different order, for this purpose Runge-Kutt methods of the 4th, 5th and 10th orders have been realized in programs.

Посилання

Hairer E.: 1978, A Runge-Kutta method of order 10, J. Inst. Maths. Applies, 21, 47-59.

http://adsbit.harvard.edu G. Sitarski Motion of Comet D/Shoemaker-Levy 9 before the Breakup.

Kara I.V.: 2006, Physics of space. Transactionses of 35-th International student's scientific conference. The Ural State University, p. 221.

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Опубліковано

2017-04-09

Номер

Том 18 (2005)

Розділ

Статті

Ліцензія

Авторське право (c) 2017 Odessa Astronomical Publications

Creative Commons License

Ця робота ліцензується відповідно до Creative Commons Attribution-NonCommercial 4.0 International License.

Відповідно Закону України про авторське право і суміжні права N 3792-XII від 23 грудня 1993 року