期刊
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
卷 81, 期 3, 页码 235-248出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1013217913585
关键词
normal forms; stability
We study the non-linear stability of the equilibria corresponding to the motion of a particle orbiting around a finite straight segment. The potential is a logarithmic function and may be considered as an approximation to the one generated by elongated celestial bodies. By means of the Arnold's theorem for non-definite quadratic forms we determine the orbital stability of the equilibria, for all values of the parameter k of the problem, resonant cases included.
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