Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2026 19 (3)
- Authors
- Zolotov, Oleg A.; Morozov, Nikita V.; Zalizniak, Victor E.
- Contact information
- Zolotov, Oleg A. : Siberian Federal University (Krasnoyarsk, Russian Federation); ; Morozov, Nikita V. : Siberian Federal University (Krasnoyarsk, Russian Federation); ; Zalizniak, Victor E. : Siberian Federal University (Krasnoyarsk, Russian Federation);
- Keywords
- numerical solution of equations of motion; symplectic scheme; invariants of motion, Kepler problem
- Abstract
A correction algorithm has been developed to preserve required motion invariants at each step of numerical integration of gravitational N-body problem, independent of the underlying numerical integration method. The effectiveness of the proposed algorithm is demonstrated using the Kepler problem as an example. Specifically, it is shown that the algorithm extends the applicability range of classical integrators of lower order
- Pages
- 399–405
- EDN
- TWHOYE
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/158239
Journal of Siberian Federal University. Mathematics & Physics / Accurate Conservation of Invariant Quantities for Keplerian Orbit Integration
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