PLANETARY ORBITS AS LIMIT-CYCLES

被引:0
作者
BEJARANO, JD
RODRIGUEZ, CM
机构
[1] Departmento de Física, Universidad de Extremadura, Badajoz
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1992年 / 107卷 / 05期
关键词
OTHER TOPICS IN MATHEMATICAL METHODS IN PHYSICS; FUNCTIONAL ANALYTICAL METHODS; CELESTIAL MECHANICS (INCLUDING N-BODY PROBLEMS);
D O I
10.1007/BF02723626
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
General relativistic orbits in the Schwarzschild metric can be analysed in terms of the anharmonic asymmetric oscillator. A simple generalization of the usual Fourier series, suitable for this type of nonlinear system, is used with a harmonic-balance method to study approximate solutions of perturbed orbits. The existence of solutions of the limit cycle type is demonstrated quantitatively.
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页码:497 / 501
页数:5
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