Improved leap-frog symplectic integrators for orbits of small eccentricity in the perturbed Kepler problem

被引：4

作者：

Guzzo, M ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2001年 / 80卷 / 01期

关键词：

symplectic integrators; leap-frog integrators;

D O I：

10.1023/A:1012288817224

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

I have improved the precision of the leap-frog symplectic integrators for perturbed Kepler problems at small eccentricities, without significant loss of CPU time. The integration scheme proposed is competitive, in some situations, with the so-called mixed variables integrators.

引用

页码：63 / 80

页数：18

共 5 条

[1] ON THE HAMILTONIAN INTERPOLATION OF NEAR-TO-THE-IDENTITY SYMPLECTIC MAPPINGS WITH APPLICATION TO SYMPLECTIC INTEGRATION ALGORITHMS
BENETTIN, G
GIORGILLI, A
[J]. JOURNAL OF STATISTICAL PHYSICS, 1994, 74 (5-6) : 1117 - 1143
[2] NEISHTADT AI, 1984, PRIKL MAT MEKH, V48, P197
[3] SYMPLECTIC MAPS FOR THE N-BODY PROBLEM
WISDOM, J
HOLMAN, M
[J]. ASTRONOMICAL JOURNAL, 1991, 102 (04) : 1528 - 1538
[4] SYMPLECTIC MAPS FOR THE N-BODY PROBLEM - STABILITY ANALYSIS
WISDOM, J
HOLMAN, M
[J]. ASTRONOMICAL JOURNAL, 1992, 104 (05) : 2022 - 2029
[5] CONSTRUCTION OF HIGHER-ORDER SYMPLECTIC INTEGRATORS
YOSHIDA, H
[J]. PHYSICS LETTERS A, 1990, 150 (5-7) : 262 - 268

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