Abstract
The Hannay adiabatic angles are computed for polar orbits in the gravitational field of an oblate spheroid described in the post-Newtonian framework of general relativity.
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Arnold, V. I., Kozlov, V. V. and Neishtadt, A. I.: 1988,Encyclopaedia of Mathematical Sciences, vol. 3, Arnold, V. I., ed., Springer-Verlag, New York.
Ashby, N.: 1986,Relativity in Celestial Mechanics and Astrometry, Kovalevsky, J., Brumberg, V. A., eds., Reidel, Dordrecht.
Brumberg, V. A.: 1991,Essential Relativistic Celestial Mechanics, IOP Publ., Bristol.
Das, A.: 1993,The special Theory of Relativity: A Mathematical Exposition, Springer-Verlag, New York.
Deprit, A.: 1969,Celest. Mech. 1, 12.
Golin, S., Knauf, A. and Marmi, S.: 1989,Commun. Math. Phys. 123, 95.
Golin, S. and Marmi, S.: 1989,Europhys. Lett. 8, 1989.
Hannay, J. H.: 1985,J. Phys. A. Math. Gen. 18, 221.
Heimberger, J., Soffel, M. and Ruder, H.: 1990,Celest. Mech. 47, 205.
Hori, G. I.: 1966,Publ. Astron. Soc. Japan 18, 287.
Marsden, J. E., Montgomery, R. and Ratiu, T.: 1990,Memoirs AMS 436.
Misner, C. W., Thorne, K. P. and Wheeler, J. A.: 1973,Gravitation, Freeman: San Fracisco.
Neishtadt, A. I.: 1976,Sov. Phys. Dokl. 21, 80.
Soffel, M. H. and Brumberg, V. A.: 1991,Celest. Mech. 52, 355.
Soffel, M., Wirrer, R., Schastok, J., Ruder, H. and Schneider, M.: 1988,Celest. Mech. 42, 81.
Synge, J. L.: 1960,Classical Dynamics, Handbuch der Physik, Springer-Verlag, Berlin.
Vinti, J. P.: 1959,J. Res. Nat. Bur. of Standars 62B, 105.
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Miguel, A.S. Hannay angles for relativistic polar orbits around an oblate spheroid. Celestial Mech Dyn Astr 62, 395–406 (1995). https://doi.org/10.1007/BF00692288
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DOI: https://doi.org/10.1007/BF00692288