INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER
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 hav...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Odessa I. I. Mechnykov National University
2017-04-01
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| Series: | Odessa Astronomical Publications |
| Online Access: | http://oap.onu.edu.ua/article/view/98234 |
| _version_ | 1818313535421153280 |
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| author | O. A. Bazyey I. V. Kara |
| author_facet | O. A. Bazyey I. V. Kara |
| author_sort | O. A. Bazyey |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T08:35:17Z |
| format | Article |
| id | doaj.art-c8356041cf6449c5be2fd79b503e503e |
| institution | Directory Open Access Journal |
| issn | 1810-4215 |
| language | English |
| last_indexed | 2024-12-13T08:35:17Z |
| publishDate | 2017-04-01 |
| publisher | Odessa I. I. Mechnykov National University |
| record_format | Article |
| series | Odessa Astronomical Publications |
| spelling | doaj.art-c8356041cf6449c5be2fd79b503e503e2022-12-21T23:53:39ZengOdessa I. I. Mechnykov National UniversityOdessa Astronomical Publications1810-42152017-04-01180141610.18524/1810-4215.2005.18.9823498234INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDERO. A. Bazyey0I. V. KaraDepartment of Astronomy, Odessa State University T.G.Shevchenko Park, Odessa 65014 UkraineEquations 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.http://oap.onu.edu.ua/article/view/98234 |
| spellingShingle | O. A. Bazyey I. V. Kara INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER Odessa Astronomical Publications |
| title | INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER |
| title_full | INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER |
| title_fullStr | INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER |
| title_full_unstemmed | INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER |
| title_short | INTEGRATION OF DIFFERENTIAL EQUATION FOR CELESTIAL BODIES' MOTION BY THE RUNGE-KUTT METHOD IN THE THIRD ORDER |
| title_sort | integration of differential equation for celestial bodies motion by the runge kutt method in the third order |
| url | http://oap.onu.edu.ua/article/view/98234 |
| work_keys_str_mv | AT oabazyey integrationofdifferentialequationforcelestialbodiesmotionbytherungekuttmethodinthethirdorder AT ivkara integrationofdifferentialequationforcelestialbodiesmotionbytherungekuttmethodinthethirdorder |