no. 1
Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation
Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 1, pp. 87-125. 
@article{AIHPA_1996__64_1_87_0,
     author = {Chicone, C. and Mashhoon, B. and Retzloff, D. G.},
     title = {Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {87--125},
     publisher = {Gauthier-Villars},
     volume = {64},
     number = {1},
     year = {1996},
     mrnumber = {1378234},
     zbl = {0846.58076},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1996__64_1_87_0/}
}
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Chicone, C.; Mashhoon, B.; Retzloff, D. G. Gravitational ionization : periodic orbits of binary systems perturbed by gravitational radiation. Annales de l'I.H.P. Physique théorique, Tome 64 (1996) no. 1, pp. 87-125. http://www.numdam.org/item/AIHPA_1996__64_1_87_0/

[1] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Washington DC, 1968.

[2] V.I. Arnold, Mathematical Methods of Classical Mechanics, Grad. Texts Math., Vol. 60, Springer-Verlag, 1978. | MR | Zbl

[3] C. Chicone, A Geometric Approach to Regular Perturbation Theory with an Application to Hydrodynamics, Trans. AMS, Vol. 347, 1995, pp. 4559-4598. | MR | Zbl

[4] C. Chicone and M. Jacobs, Bifurcation of Limit Cycles from Quadratic Isochrones, J. of Diff. Eqs., Vol. 91, 1991, pp. 268-326. | MR | Zbl

[5] Dynamical Systems III, Ency. Math. Sci., Vol. 3, V.I. Arnold, Editor, Springer-Verlag, 1988. | MR

[6] P. Henrici, Applied and Computational Complex Analysis, Vol. 1, Wiley, New York, 1974. | MR | Zbl

[7] R.A. Hulse and J.H. Taylor, Discovery of a Pulsar in a Binary System, Astrophys. J., Vol. 195, 1975, L51-53.

[8] J. Kovalevsky, Introduction to Celestial Mechanics, Astrophysics and Space Science Library, Vol. 7, Springer-Verlag, 1967. | Zbl

[9] B. Mashhoon, Tidal Radiation, Astrophys. J., Vol. 216, 1977, pp. 591-609.

[10] B. Mashhoon, On Tidal Resonance, Astrophys. J., Vol. 223, 1978, pp. 285-298. | MR

[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. | MR | Zbl

[12] H. Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, Vols. 1-3, Gauthier-Villars, Paris, 1892-99. | JFM

[13] S. Sternberg, Celestial Mechanics, Vols. 1-2, W. A. BENJAMIN, Inc., New York, 1969. | Zbl

[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.