Some mathematical aspects of spin-orbit resonance. II

R Clark Robinson; James Murdock

doi:10.1007/BF01228795

Some mathematical aspects of spin-orbit resonance. II

R Clark Robinson^*, James Murdock

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

This paper continues the mathematical study of spin/orbit coupling which was begun in earlier articles by the second author. The equation studied is {Mathematical expression} where P and T are periodic in t and the angle θ. No specific form for P and T is assumed but only the conditions necessary to analyze the system near resonance or a ground state. The behavior of an averaged system of these equations is shown to be reflected qualitatively in the actual equations by rigorous mathematical methods.

Original language	English (US)
Pages (from-to)	83-107
Number of pages	25
Journal	Celestial Mechanics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/BF01228795
State	Published - May 1 1981

ASJC Scopus subject areas

Astronomy and Astrophysics
Space and Planetary Science

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abstract = "This paper continues the mathematical study of spin/orbit coupling which was begun in earlier articles by the second author. The equation studied is {Mathematical expression} where P and T are periodic in t and the angle θ. No specific form for P and T is assumed but only the conditions necessary to analyze the system near resonance or a ground state. The behavior of an averaged system of these equations is shown to be reflected qualitatively in the actual equations by rigorous mathematical methods.",

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AB - This paper continues the mathematical study of spin/orbit coupling which was begun in earlier articles by the second author. The equation studied is {Mathematical expression} where P and T are periodic in t and the angle θ. No specific form for P and T is assumed but only the conditions necessary to analyze the system near resonance or a ground state. The behavior of an averaged system of these equations is shown to be reflected qualitatively in the actual equations by rigorous mathematical methods.

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Some mathematical aspects of spin-orbit resonance. II

Abstract

ASJC Scopus subject areas

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