Kam Tori Normal Coordinates

被引：0

作者：

William E. Wiesel

机构：

[1] Air Force Institute of Technology,Department of Aeronautics and Astronautics

来源：

The Journal of the Astronautical Sciences | 2009年 / 57卷

关键词：

Mathematical Application; Symmetric Matrix; Local Motion; Aerospace Technology; Normal Coordinate;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The solution to motion in the vicinity of a KAM torus is constructed. Applying both the KAM theorem and assuming that Hamiltonian motion holds on at least a Cantor set of adjacent tori, the local linearization of a KAM torus can be constructed. A set of eigenvalue-like quantities must be determined to produce a description of local motion that remains bounded. The local motion near a KAM torus involves linear drift, and the Jordan form needs to be generalized to a full symmetric matrix.

引用

页码：691 / 700

页数：9

共 4 条

[1]

Kolmogorov A(1954)On the Conservation of Conditionally Periodic Motions under Small Perturbations of the Hamiltonian Dokl. Akad. Nauk. SSSR 98 527-530

[2]

Arnold V(1963)Proof of Kolmogorov’s Theorem on the Preservation of Quasi-Periodic Motions under Small Perturbations of the Hamiltonian Rus. Math. Surv. 18 9-36

[3]

Moser J(1962)On Invariant Curves of an Area Preserving Mapping of an Annulus Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl 1-20

[4]

Wiesel W E(2008)Earth Satellite Orbits as KAM Tori The Journal of the Astronautical Sciences 56 151-162

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