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Bibliography

1
Ferrándiz, J.M. and Sansaturio, M.E. (1995) Non-existence of rational integrals in the J22-problem, Phys. Lett. A, 207, 180-84.
2
Ferrándiz, J.M., Sansaturio, M.E. and Vigo-Aguiar, I. (1996) Non integrability of the truncated zonal satellite Hamiltonian at any order, Phys. Lett. A, 221, 153-57.
3
Irigoyen, M. and Simó, C. (1993) Non integrability of the J2-problem, Celest. Mech., 55, 281-87.
4
Irigoyen, M. (1996) Analytical non-integrability of the truncated two fixed centres problem in the symmetric case, J. of Diff. Eq., 131, 267-76.
5
Marchal, C. (1990) The Three Body Problem, Elsevier, Amsterdam.
6
Sansaturio, M. E., Vigo-Aguiar I. and Ferrándiz J.M. (1997) Non-integrability of some Hamiltonian systems in polar coordinates, J. Phys. A: Math. Gen., 30, 5869-5876.
7
Sansaturio, M. E., Vigo-Aguiar I. and Ferrándiz J.M. (in press) Non-integrability and chaos in satellite orbital dynamics, Paper AAS98-131, Advances in the Astronautical Sciences Vol. 99 I & II, Robert H. Jacobs Series Editor.
8
Simó, C. (1991) Measuring the lack of integrability of the J2-problem for Earth's satellites, in Predictability, Stability and Chaos in N-Body Dynamical Systems, A.E. Roy, Ed., NATO ASI series B272, Plenum Publishing Corporation, 305-309.
9
Szebehely, V.G, (1967) Theory of Orbits. The Restricted Problem of Three Bodies, Academic Press, New York.
10
Whittaker, E.T. (1904) A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Reprinted by Cambridge University Press, New York (1965).
11
Yoshida, H. (1987) A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential, Physica D, 29, 128-42.
12
Yoshida, H. (1988) Non integrability of the truncated Toda lattice Hamiltonian at any order, Commun. Math. Phys., 116, 529-38.
13
Yoshida, H. (1989) A criterion for the non-existence of an additional analytic in Hamiltonian systems with n degrees of freedom, Phys. Lett. A, 141, 108-12.
14
Ziglin, S.L. (1983) Branching of solutions ad non-existence of first integrals in Hamiltonian mechanics, Funct. Anal. Appl., 16, 181-99.




1998-10-24