Stability of orbits around a spinning body in a pseudo-Newtonian Hill problem

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 2, 2009, Pages 188-194

  Steklain, A F ^a   Letelier, P S ^a  

^a Instituto de Matematica   (Brazil)

Author keywords

Chaos; Dragging of inertial frames; Fractals; Hill problem; Pseudo Newtonian gravity

Indexed keywords

CHAOS THEORY; FRACTALS;

HILL PROBLEM; INERTIAL FRAMES; LYAPUNOV EXPONENT; NEWTONIAN GRAVITY; PROBLEM-BASED; RELATIVISTIC EFFECTS; SPIN ANGULAR MOMENTUM; SPINNING BODIES;

LYAPUNOV METHODS;

EID: 57549096495     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.11.022     Document Type: Article

References (25)

1. Hill G.W. Am. J. Math. 1 (1878) 129
2. Murray C.D., and Dermott S.F. Solar System Dynamics (1999), Cambridge Univ. Press, Cambridge
3. Arnold V.I. Mathematical Aspects of Classical and Celestial Mechanics (1997), Springer-Verlag, Berlin p. 88
4. Heggie D. In: Steves B.A., and Maciejewski A.J. (Eds). The Restless Universe (2001), Scottish Universities Summer School in Physics and Institute of Physics Publishing, Bristol 109
5. Chicone C., Mashhoon B., and Retzloff D.G. Ann. Inst. H. Poincaré, Phys. Theor. 64 (1996) 87
6. Meletlidou E., Ichtiaroglou S., and Winterberg F.J. Celest. Mech. Dynam. Astron. 80 (2001) 145
7. Simó C., and Stuchi T.J. Physica D 140 (2000) 1
8. Lense J., and Thirring H. Phys. Z. 19 (1918) 156
9. Kerr R.P. Physic. Rev. Lett. 11 (1963) 237
10. Steklain A.F., and Letelier P.S. Phys. Lett. A 352 (2006) 398
11. Paczyński B., and Wiita P. Astron. Astrophys. 88 (1980) 23
12. Semerák O., and Karas V. Astron. Astrophys. 343 (1999) 325
13. Mukhopadhyay B. Astrophys. J. 581 (2002) 427
14. Artemova I.V., Björnsson G., and Novikov I.D. Astrophys. J. 461 (1996) 565
15. Novikov I.D., and Frolov V.P. Physics of Black Holes (1989), Kluwer, Dordrecht
16. Eckmann J.P., and Ruelle D. Rev. Mod. Phys. 57 (1985) 617
17. Alligood K., Sauer T., and Yorke J. Chaos - An Introduction to Dynamical Systems (1996), Springer-Verlag, Berlin p. 203
18. Benettin G., Galgani L., Giorgilli A., and Strelcyn J.W. Meccanica 15 (1980) 9
19. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Physica D 16 (1985) 285
20. Bardeen J.M., Press W.H., and Teukolsky S.A. Astrophys. J. 178 (1972) 347
21. Moura A.P.S., and Letelier P.S. Phys. Lett. A 256 (1999) 362
22. Ott E. Chaos in Dynamical Systems (1993), Cambridge Univ. Press, Cambridge
23. Grebogi C., Nusse H.E., Ott E., and Yorke J.A. In: Alexander J.C. (Ed). Dynamical Systems (1988), Springer-Verlag, Berlin 220
24. Letelier P.S., and Vieira W.M. Phys. Rev. D 56 (1997) 8095
25. Guéron E., and Letelier P.S. Phys. Rev. E 66 (2002) 046611