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

O. A. Bazyey; I. V. Kara

doi:10.18524/1810-4215.2005.18.98234

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, Україна
I. V. Kara Department of Astronomy, Odessa State University T.G.Shevchenko Park, Odessa 65014 Ukraine, Україна

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)

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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