Abstract
We introduce a model for integrating the effects of Galactic tides on Oort cloud comets, which involves two procedures, according to the values of the osculating semi-major axis a and eccentricity e. Ten simulations of the dynamics of 106 comets over 5 Gyr are performed using this model. We thus investigate the long-term effects of the Galactic tide with and without a radial component, the effects of the local density of the Galactic disk, and those of the Oort constants. Most of the results may be understood in terms of the integrability or non-integrability of the system. For an integrable system, which occurs for moderate semi-major axes with or without radial component, the dynamics is explained by periodic variation of the cometary perihelion, inducing the depletion of the outer region of the Oort cloud, a constant flux from the inner region after 500 Myr, and the quick formation of a reservoir of comets with argument of perihelion near 26.6°. When the system is non-integrable, the efficiency of the tide in reducing the cometary perihelion distance is enhanced both by replenishing the Oort cloud domain from which comets are sent toward the planetary system, and by reducing the minimal value that the perihelion distance may reach. No effects of varying the Oort constants were observed, showing that the flat rotation curve is a satisfactory approximation in Oort cloud dynamics.
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References
Bahcall, J.N., Flynn, C., Gould, A.: Local dark matter from a carefully selected sample. ApJ 389, 234–250 (1992)
Bailey, M.E.: The structure and evolution of the solar system comet cloud. MNRAS 204, 603–633 (1983)
Brasser, R.: Some properties of a two-body system under the influence of the Galactic tidal field. MNRAS 324, 1109–1116 (2001)
Breiter, S., Ratajczak, R.: Vectorial elements for the Galactic disc tide effects in cometary motion. MNRAS, 364, 1222–1228 (2005)
Breiter, S., Dybczyński, P.A., Elipe, A.: The action of the galactic disk on the Oort cloud comets. Qualitative study. A & A 315, 618–624 (1996)
Duncan, M., Quinn, T., Tremaine, S.: The formation and extent of the solar system comet cloud. AJ 94, 1330–1338 (1987)
Dybczyński, P.A.: Simulating observable comets II. Simultaneous stellar and galactic action. A & A 441, 783–790 (2005)
Elipe, A., Ferrer, S.: Reductions, relative equilibria, and bifurcations in the generalized van der Waals potential: relation to the integrable cases. Phys. Rev. Lett. 72, 985–988 (1994)
Everhart, E.: An efficient integrator that uses Gauss-Radau spacings. In: Carusi, A., Valsecchi, G.B. (eds.) Proc. IAU Colloq. 83, Dynamics of Comets: Their Origin and Evolution, p. 185, Reidel, Dordrecht (1985)
Fouchard, M.: New fast models of the galactic tide. MNRAS 349, 347–356 (2004)
Fouchard, M., Froeschlé, C., Matese, J.J., Valsecchi, G.B.: Comparison between different models of the galactic tidal effects on cometary orbits. Celest. Mech. Dyn. Astron. 93, 231–264 (2005)
García-Sánchez, J., Weissman, P.R., Preston, R.A., Jones, D.L., Lestrade, J.-F., Latham, D.W., Stefanik, R.P., Paredes, J.M.: Stellar encounters with the solar system. A & A 379, 634–659 (2001)
Hills, J.G.: Comet showers and the steady-state infall of comets from the Oort cloud, Astron. J. 86, 1730–1740 (1981)
Heisler, J.: Monte Carlo simulations of the Oort comet cloud. Icarus 75, 104–121 (1990)
Heisler, J., Tremaine, S.: The influence of the galactic tidal field on the Oort comet cloud, Icarus 65, 13–26 (1986)
Holmberg, J., Flynn, C.: The local density of matter mapped by Hipparcos. MNRAS 313, 209–216 (2000)
Levison, H., Dones, L., Duncan, M.J.: The origin of Halley-type comets: probing the inner Oort cloud. Astron. J. 121, 2253–2267 (2001)
Matese, J.J., Lissauer, J.J.: Characteristics and frequency of weak stellar impulses of the Oort cloud. Icarus 157, 228–240 (2002)
Matese, J.J., Lissauer, J.J.: Perihelion evolution of observed new comets implies the dominance of the galactic tide in making Oort cloud comets discernable. Icarus 170, 508–513 (2004)
Matese, J.J., Whitman, P.G.: The galactic disk tidal field and the nonrandom distribution of observed Oort cloud comets. Icarus 82, 389–401 (1989)
Matese, J.J., Whitman, P.G.: A model of the galactic tidal interaction with the Oort comet cloud, Celest. Mech. Dyn. Astron. 54, 13–35 (1992)
Mignard, F.: Local galactic kinematics from Hipparcos proper motions. A & A 354, 522–536 (2000)
Neslušan, L., Jakubík, M.: Some characteristics of the outer Oort cloud as inferred from observations of new comets. A & A 437, 1093–1108 (2005)
Olling, R.P., Dehnen, W.: The Oort constants measured from proper motions. ApJ 599, 275–296 (2003)
Olling, R.P., Merrifield, M.R.: Refining the Oort and Galactic constants. MNRAS 297, 943–952 (1998)
Oort, J.H.: The structure of the cloud of comets surrounding the Solar System and a hypothesis concerning its origin. Bull. Astron. Inst. Neth. 11, 91–110 (1950)
Tommei, G: Canonical elements for Öpik theory. Celest. Mech. Dyn. Astron., 94, 173–195 (2006)
Tremaine, S.: Canonical elements for collision orbits. Celest. Mech. Dyn. Astron. 79, 231–233 (2000)
Wiegert, P., Tremaine, S.: The evolution of long-period comets. Icarus 137, 84–121 (1999)
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Fouchard, M., Froeschlé, C., Valsecchi, G., Rickman, H. (2006). Long-term effects of the Galactic tide on cometary dynamics. In: Celletti, A., Ferraz-Mello, S. (eds) Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5325-2_18
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DOI: https://doi.org/10.1007/978-1-4020-5325-2_18
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