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Comparison of Some Methods of Numerical Integration of Differential Equations of Motion of Celestial Bodies

Transactions of IAA RAS, issue 20, 467–469 (2009)

Keywords: радиоинтерферометрия со сверхдлинными базами, метод численного интегрирования, уравнение движения небесных тел, метод Эвехарта, метод Адамса, дифференциальные уравнения, восьмибайтная арифметика, десятибайтная арифметика

Abstract

Results of the comparison of some modifications of differential equations numerical integration methods of celestial bodies motion, developed by A. A. Kharunzhiy, are pesented. Everhart's and Adams' methods of different orders are considered. The use of the extended type ariphmetic (10 bytes) instead of double (8 bytes) gives an ability to get the numerical upto four orders more accurate solution of differential equations. Adams' method turned out to be more efficient compared to Everhart's method

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V. I. Skripnichenko, A A. Kharunzhiy . Comparison of Some Methods of Numerical Integration of Differential Equations of Motion of Celestial Bodies // Transactions of IAA RAS. — 2009. — Issue 20. — P. 467–469.

@article{skripnichenko2009,
  abstract = {Results of the comparison of some modifications of differential equations numerical integration methods of celestial bodies motion, developed by A. A. Kharunzhiy, are pesented. Everhart's and Adams' methods of different orders are considered. The use of the extended type ariphmetic (10 bytes) instead of double (8 bytes) gives an ability to get the numerical upto four orders more accurate solution of differential equations. Adams' method turned out to be more efficient compared to Everhart's method},
  author = {V.~I. Skripnichenko and AA. Kharunzhiy},
  issue = {20},
  journal = {Transactions of IAA RAS},
  keyword = {радиоинтерферометрия со сверхдлинными базами, метод численного интегрирования, уравнение движения небесных тел, метод Эвехарта, метод Адамса, дифференциальные уравнения, восьмибайтная арифметика, десятибайтная арифметика},
  pages = {467--469},
  title = {Comparison of Some Methods of Numerical Integration of Differential Equations of Motion of Celestial Bodies},
  url = {http://iaaras.ru/en/library/paper/677/},
  year = {2009}
}

TY  - JOUR
TI  - Comparison of Some Methods of Numerical Integration of Differential Equations of Motion of Celestial Bodies
AU  - Skripnichenko, V. I.
AU  - Kharunzhiy, AA.
PY  - 2009
T2  - Transactions of IAA RAS
IS  - 20
SP  - 467
AB  - Results of the comparison of some modifications of differential
equations numerical integration methods of celestial bodies motion,
developed by A. A. Kharunzhiy, are pesented. Everhart's and Adams'
methods of different orders are considered. The use of the extended
type ariphmetic (10 bytes) instead of double (8 bytes) gives an
ability to get the numerical upto four orders more accurate solution
of differential equations. Adams' method turned out to be more
efficient compared to Everhart's method
UR  - http://iaaras.ru/en/library/paper/677/
ER  -