Work

Точное сохранение инвариантов движения в численном решении задачи Кеплера

Year: 2026

Type: article

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

Source: SibFU Digital Repository (Siberian Federal University)

Authors: Zolotov, Oleg A., Morozov, Nikita V., Zalizniak, Victor E., Золотов, Олег А., Морозов, Никита В., Зализняк, Виктор Е.

Institution: Siberian Federal University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7154433597

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