Analysis of resonances in the spin-orbit problem in Celestial Mechanics: The synchronous resonance (Part I)

Author:

Celletti Alessandra

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference50 articles.

1. V. I. Arnold,Proof of a theorem by A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian. Russ. Math. Surveys18, 9 (1963).

2. D. Braess and E. Zehnder,On the numerical treatment of a small divisor problem. Numer. Math.39, 269 (1982).

3. A. Cayley,Tables of the developments of functions in the theory of elliptic motion. Mem. Roy. Astron. Soc.29, 191 (1859).

4. A. Celletti,Analysis of Resonances in the Spin-Orbit Problem in Celestial Mechanics. Ph.D. Thesis, ETH-Zürich (1989).

5. A. Celletti,Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II). To appear in ZAMP.

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