Abstract
In this paper we consider orbital element distributions for comets moving on admissible orbits in the Oort cloud and distributions for some functions that depend on the orbital elements. Moreover, we find the probability of an event that an arbitrarily chosen admissible orbit belongs to the set Γ(r) of orbital elements and the distribution of circular velocities in the cloud.
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Bailey, M. E.: 1983, ‘The structure and evolution of the Solar System comet cloud’, Mon. Not. R. Astr. Soc., 204,603–633.
Bailey, M. E.: 1984, ‘The steady-state 1/a-distribution and the problem of cometary fading’, Mon. Not. R. Astr. Soc., 211, 347–368.
Biermann, L.; 1981, ‘Dreßig Jahre Kometenforschung’, Mitt. Astron. Ges., 51, 37–48.
Everhart, E. and Marsden, B. G.: 1983, ‘New, original and future cometary orbits’, Astron. J., 88, 135–137.
Fernandez, J. A.: 1981, ‘New and evolved comets in the Solar System’, Astron. Astrophys., 96, 26–35.
Fernandez, J. A. and Jockers, K.: 1983, ‘Nature and origin of comets’, Rep. on Progr. in Phys., 46, 665–772.
Galibina,I. V.: 1964, ‘Original and future orbits of long-period comets’, Bull. Inst. Theor. Astron. 9,465–498 (in Russian).
Hasegawa, I. and Shimizu, T.: I979, ‘Some statistic on long-period comets’, in ‘Dynamics of the Solar System’, R. L. Duncombe (ed.), I.A.U. 1979, pp. 319–322.
Lyttleton, R. A.: 1963, in an Introduction to the English edition of N. B. Richter's ‘The Nature of Comets’, Methuen, London.
Lyttleton, R. A.:1968, ‘On the distribution of major-axes of long-period comets’, Mon. Not. R. Astr. Soc., 139, 225–230.
Lyttleton, R. A.: 1974, “The non-existence of the Oort cometary shell”, Astrophys. Space Sci., 31, 385–401.
Marsden, B. G. and Sekanina, Z.: 1973, ‘On the distribution of original orbits of comets of large perihelion distance’, Astron. J., 78, 1118–1124.
Marsden, B. G., Sekanina, Z. and Everhart, E.: 1978, ‘New osculating orbits for 110 comets and analysis of original orbits for 200 comets“, Astron. J., 83, 64–71.
Oort, J. H.: 1950, ‘The structure of the cloud of comets surrounding the Solar system and a hypothesis concerning its origin’, Bull. Astron. Inst. Neth., 11, 91–110.
Serafin, R. A.: 1988, ‘Admissible orbits in the Oort cloud and velocities on such orbits’, Celest. Mech., 41, 79–98.
Serafin, R. A.: 1988, ‘Velocity distributions in the Oort cloud’, submitted to Celest. Mech.
Van Woerkom, A. J. J.: 1948, ‘On the origin of comets’, Bull. Astron. Inst. Neth., 10, 445–472.
Vsekhsvyatsky, S.: 1967, ‘Nature and origin of comets and meteorical Matter’, Education Publ., Moscow, p. 10 (in Russian).
Weissman, P. R.: 1977, ‘Initial energy and perihelion distributions of Oort-cloud comets’, in ‘Comets, Asteroids, Meteorites’, I.A.U. Coll. No. 39, A. H. Delsemme (ed.), Univ. of Toledo Press, 87–91.
Weissman, P. R.: 1982, ‘Dynamical history of the Oort cloud’, in ‘Comets’, I.A.U. Coll. No. 61, L. L. Wilkening (ed.), Univ. Arizona Press, 637–658.
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Serafin, R.A. Orbital element distributions in the Oort cloud. Celestial Mech Dyn Astr 47, 37–56 (1989). https://doi.org/10.1007/BF00052973
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DOI: https://doi.org/10.1007/BF00052973