caa a22 4500 46906627X CHVBK 20180323132909.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF02723626 doi (NATIONALLICENCE)springer-10.1007/BF02723626 Planetary orbits as limit cycles [Elektronische Daten] [J. Bejarano, C. Rodríguez] Summary: 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. Società Italiana di Fisica, 1992 PACS 02.90 Other topics in mathematical methods in physics nationallicence PACS 03.65.Db Functional analytical methods nationallicence PACS 03.65.Db Functional analytical methods nationallicence Bejarano J. Departmento de Física, Universidad de Extremadura, 06071, Badajoz, Spain aut Rodríguez C. Departmento de Física, Universidad de Extremadura, 06071, Badajoz, Spain aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/5(1992-05-01), 497-501 107:5<497 1992 107 40764 https://doi.org/10.1007/BF02723626 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02723626 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bejarano J. Departmento de Física, Universidad de Extremadura, 06071, Badajoz, Spain aut NATIONALLICENCE 700 1- Rodríguez C. Departmento de Física, Universidad de Extremadura, 06071, Badajoz, Spain aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/5(1992-05-01), 497-501 107:5<497 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer