Long-term evolution of the orbits of natural satellites

This review presents the recent works devoted to the construction or the improvement of the theories of motion of all natural planetary satellites (except the Moon). The knowledge of the long-term evolution of these motions is strongly dependent on the accuracy of current theories. With the increasing precision of the ground-based observations, and with the past and future space missions, most of the theories have been or have to be revisited, taking into account more and more disturbing effects and specially tidal dissipation. These studies are often made difficult by the resonant behaviour of the system. We emphasize here tidal evolution in resonance. In the Jovian and Saturnian systems, tidal actions might explain the observed resonant state, as well as the heating of the satellites up to the softening and the resurfacing of some of them. However in the case of the Uranian satellites, no true resonance appears in spite of an observational evidence of tidal effects in resurfacing Ariel and Miranda, and new works try to explain these differences.

[1]  P. Cassen,et al.  Tidal dissipation, orbital evolution, and the nature of Saturn's inner satellites , 1980 .

[2]  S. Ferraz-Mello,et al.  Natural and Artificial Satellite Motion , 1979 .

[3]  P. Goldreich,et al.  A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems , 1984 .

[4]  T. Duxbury,et al.  The motions of Phobos and Deimos from Mariner 9 TV data , 1975 .

[5]  R. Greenberg.  Evolution of satellite resonances by tidal dissipation. , 1973 .

[6]  T. Sanderson,et al.  Characteristics of energetic particle events associated with interplanetary shocks , 1985 .

[7]  K. C. Jacobs,et al.  The contraction of Io's orbit , 1986 .

[8]  P. Goldreich,et al.  An Explanation of the Frequent Occurrence of Commensurable Mean Motions in the Solar System , 1965 .

[9]  S. Ferraz-Mello,et al.  Resonances in the motion of planets, satellites and asteroids , 1985 .

[10]  S. Peale,et al.  The tides of Io , 1981 .

[11]  R. Dvorak,et al.  Chaos and secular variations of planar orbits in 2: 1 resonance with dione , 1987 .

[12]  H. Reitsema.  The libration of the Saturnian satellite Dione B , 1981 .

[13]  S. Synnott,et al.  Theory of motion of Saturn's coorbiting satellites , 1983 .

[14]  Expansion of the disturbing force-function for the study of high-eccentricity librations , 1987 .

[15]  A. Sinclair.  Perturbations on the orbits of companions of the satellites of Saturn , 1984 .

[16]  W. McKinnon,et al.  On the origin of Triton and Pluto , 1984, Nature.

[17]  David Morrison,et al.  Satellites of Jupiter , 1982 .

[18]  S. Peale.  Speculative histories of the Uranian satellite system , 1988 .

[19]  S. Synnott,et al.  Orbits of the ten small satellites of Uranus , 1987 .

[20]  R. Duncombe.  Dynamics of the Solar System , 1979 .

[21]  V. V. Markellos,et al.  Dynamical trapping and evolution in the solar system; Proceedings of the Seventy-fourth Colloquium, Gerakini, Greece, August 30-September 2, 1982 , 1983 .

[22]  L. Duriez.  Theorie generale planetaire etendue au cas de la resonance et application au systeme des satellites galileens de Jupiter , 1982 .

[23]  J. Waldvogel,et al.  The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn’s Coorbiting Satellites , 1985 .

[24]  J. Lieske.  A collection of Galilean satellite eclipse observations, 1652-1983. II , 1986 .

[25]  C. Murray,et al.  Dynamics of the Uranian and Saturnian satelite systems: A chaotic route to melting Miranda? , 1988 .

[26]  V. Čelebonović,et al.  On the origin of Triton , 1986 .

[27]  K. Aksnes,et al.  The longitude discrepancy for mutual satellite phenomena resolved , 1986 .

[28]  Richard J. Greenberg,et al.  Orbital evolution of the Galilean satellites , 1981 .

[29]  S. Squyres,et al.  The evolution of Enceladus , 1983 .

[30]  The orbits of Tethys, Dione, Rhea, Titan and Iapetus , 1977 .

[31]  R. Greenberg.  Galilean satellites: Evolutionary paths in deep resonance , 1987 .

[32]  Manfred W. Pakull,et al.  Physical parameters of the Pluto-Charon system , 1987 .

[33]  J. Lieske.  Galilean satellite evolution - Observational evidence for secular changes in mean motions , 1987 .

[34]  J. Lieske.  The possibility of estimating tidal perturbations of Jupiter's Galilean satellites , 1986 .

[35]  J. Goldstein.  On the slow changes in the earth's rotation , 1985 .

[36]  J. Laskar,et al.  GUST86 - An analytical ephemeris of the Uranian satellites. [General Uranus Satellite Theory , 1987 .

[37]  S. Squyres,et al.  The enigma of the Uranian satellites' orbital eccentricities , 1985 .

[38]  A. Sinclair.  The orbits of the satellites of Mars , 1978 .

[39]  J. Henrard,et al.  Capture into resonance: An extension of the use of adiabatic invariants , 1982 .

[40]  H. Reitsema.  Orbits of the Tethys Lagrangian bodies , 1981 .

[41]  M. Chapront-Touze,et al.  ESAPHO: a semi-analytical theory for the orbital motion of Phobos , 1988 .

[42]  A. McEwen,et al.  Volcanic hot spots on Io: Correlation with low‐albedo calderas , 1985 .

[43]  Charles F. Yoder,et al.  How tidal heating in Io drives the galilean orbital resonance locks , 1979, Nature.

[44]  A Theory of the Motion of Iapetus , 1974 .

[45]  J. Henrard.  Orbital evolution of the Galilean satellites: Capture into resonance , 1983 .

[46]  David J. Tholen,et al.  Circumstances for Pluto-Charon mutual events in 1988 , 1987 .

[47]  A. Sinclair.  The orbital resonance amongst the Galilean satellites of Jupiter. , 1975 .

[48]  A. Sinclair.  The Motions of the Satellites of Mars , 1971 .

[49]  R. Greenberg.  Orbit-orbit resonances in the solar system - Varieties and similarities , 1977 .

[50]  A. Lemaitre,et al.  A second fundamental model for resonance , 1983 .

[51]  S. Ferraz-Mello.  Satellite orbits and ephemerides , 1984 .

[52]  Victor G. Szebehely,et al.  Stability of the solar system and its minor natural and artificial bodies. Proceedings of a NATO Advanced Study Institute, held at Cortina d'Ampezzo, Italy, 6 - 18 August 1984. , 1985 .

[53]  P. Message.  Review of the Theories of Motion of the Natural Satellites , 1979 .

[54]  T. Gold,et al.  On the Eccentricity of Satellite Orbits in the Solar System , 1963 .

[55]  T. Pauwels.  Secular orbit-orbit resonance between two satellites with non-zero masses , 1983 .

[56]  C. F. Yoder.  On the establishment and evolution of orbit-orbit resonances. Ph.D. Thesis , 1973 .

[57]  D. B. Taylor,et al.  Analysis of the orbits of Titan, Hyperion, and Iapetus by numerical integration , 1985 .

[58]  S. Peale.  Orbital Resonances in the Solar System , 1976 .

[59]  S. J. Peale,et al.  Orbital resonances, unusual configurations and exotic rotation states among planetary satellites , 1987 .

[60]  William H. Jefferys,et al.  Theory of Enceladus and Dione , 1975 .

[61]  J. Burns.  The evolution of satellite orbits , 1986 .