Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation

C. Chicone; B. Mashhoon; D. G. Retzloff

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 64, Issue: 1, page 87-125
  • ISSN: 0246-0211

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Chicone, C., Mashhoon, B., and Retzloff, D. G.. "Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation." Annales de l'I.H.P. Physique théorique 64.1 (1996): 87-125. <http://eudml.org/doc/76709>.

@article{Chicone1996,
author = {Chicone, C., Mashhoon, B., Retzloff, D. G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {resonance; gravitational ionization; periodic orbits},
language = {eng},
number = {1},
pages = {87-125},
publisher = {Gauthier-Villars},
title = {Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation},
url = {http://eudml.org/doc/76709},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Chicone, C.
AU - Mashhoon, B.
AU - Retzloff, D. G.
TI - Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 64
IS - 1
SP - 87
EP - 125
LA - eng
KW - resonance; gravitational ionization; periodic orbits
UR - http://eudml.org/doc/76709
ER -

References

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  1. [1] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Washington DC, 1968. 
  2. [2] V.I. Arnold, Mathematical Methods of Classical Mechanics, Grad. Texts Math., Vol. 60, Springer-Verlag, 1978. Zbl0386.70001MR690288
  3. [3] C. Chicone, A Geometric Approach to Regular Perturbation Theory with an Application to Hydrodynamics, Trans. AMS, Vol. 347, 1995, pp. 4559-4598. Zbl0849.58055MR1311905
  4. [4] C. Chicone and M. Jacobs, Bifurcation of Limit Cycles from Quadratic Isochrones, J. of Diff. Eqs., Vol. 91, 1991, pp. 268-326. Zbl0733.34045MR1111177
  5. [5] Dynamical Systems III, Ency. Math. Sci., Vol. 3, V.I. Arnold, Editor, Springer-Verlag, 1988. MR923953
  6. [6] P. Henrici, Applied and Computational Complex Analysis, Vol. 1, Wiley, New York, 1974. Zbl0313.30001MR372162
  7. [7] R.A. Hulse and J.H. Taylor, Discovery of a Pulsar in a Binary System, Astrophys. J., Vol. 195, 1975, L51-53. 
  8. [8] J. Kovalevsky, Introduction to Celestial Mechanics, Astrophysics and Space Science Library, Vol. 7, Springer-Verlag, 1967. Zbl0189.24502
  9. [9] B. Mashhoon, Tidal Radiation, Astrophys. J., Vol. 216, 1977, pp. 591-609. 
  10. [10] B. Mashhoon, On Tidal Resonance, Astrophys. J., Vol. 223, 1978, pp. 285-298. MR496329
  11. [11] K.R. Meyer and G.R. Hall, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, Applied Mathematical Sciences, Vol. 90, Springer-Verlag, 1992. Zbl0743.70006MR1140006
  12. [12] H. Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, Vols. 1-3, Gauthier-Villars, Paris, 1892-99. JFM24.1130.01
  13. [13] S. Sternberg, Celestial Mechanics, Vols. 1-2, W. A. BENJAMIN, Inc., New York, 1969. Zbl0293.70013
  14. [14] J.H. Taylor, A. Wolszczan, T. Damour and J.M. Weisberg, Experimental Constraints on Strong-Field Relativistic Gravity, Nature, Vol. 355, 1992, pp. 132-136. 

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