Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-23T11:29:18.227Z Has data issue: false hasContentIssue false
  • English
  • Français

About the Secular Acceleration of Mimas

Published online by Cambridge University Press:  07 August 2017

A. Vienne ,
J.M. Sarlat  and
L. Duriez
A. Vienne
Affiliation:
Laboratoire d'Astronomie de l'Université des Sciences et Techniques de Lille-Flandres-Artois, 1 Impasse de l'Observatoire, F 59000 Lille, France
J.M. Sarlat
Affiliation:
Laboratoire d'Astronomie de l'Université des Sciences et Techniques de Lille-Flandres-Artois, 1 Impasse de l'Observatoire, F 59000 Lille, France
L. Duriez
Affiliation:
Laboratoire d'Astronomie de l'Université des Sciences et Techniques de Lille-Flandres-Artois, 1 Impasse de l'Observatoire, F 59000 Lille, France

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We explain the high values of the acceleration (≈ 2° cy−2) found in the longitude of Mimas by Kozai and Dourneau when they fit to observations their current theory of the Mimas' motion. In fact, we have found that very long-period terms are missing in these theories; their expansion in powers of t well agrees with the observed acceleration. Effects of tidal dissipation are far smaller and could be determined only after accounting of these long-period terms.

Keywords

Mimasanalytical theorysecular perturbations
Type
Part IV - Planetary Satellites
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 219 - 222
Copyright
Copyright © Kluwer 1992 

References

Dermott, S.F., Malhotra, R., Murray, C.D.: 1988, ‘Dynamics of the Uranian and Saturnian satellite systems: A chaotic route to melting Miranda?’, Icarus 76, 295–334 Google Scholar
Dourneau, G.: 1987, ‘Observations et études du mouvement des huit premiers satellites de Saturne’, Thèse, Bordeaux Google Scholar
Duriez, L.: 1990, ‘Librations de grande amplitude dans le système de satellites de Saturne’, in Nouveaux développements en planétologie dynamique , ed. Benest, D., Froeschle, C. and Petit, J.M., Nice, 105–114 Google Scholar
Duriez, L., Vienne, A.: 1991, ‘A general theory of motion for the eight major satellites of Saturn. I: Equations and method of resolution’, Astron. Astrophys. 243, 263–275 Google Scholar
Kozai, Y.: 1957, ‘On the astronomical constants of Saturnian satellites System’, Ann. Tokyo Astron. Obs. V, 73, 1 Google Scholar
Jefferys, W.H., Ries, L.M.: 1979, ‘Theory of Mimas and Tethys’, Astron. J. 1486, 1778–1782 Google Scholar
Laskar, J.: 1988, ‘Secular evolution of the solar system over 10 million years’, Astron. Astrophys. 198, 341–362 Google Scholar
Sarlat, J.M.: 1990, ‘Perturbations des éléments orbitaux d'un satellite sous l'effet des marées’, Stage de D.E.A. , Observatoire de Paris Google Scholar
Sinclair, A.T.: 1977, ‘The orbits of Tethys, Dione, Rhea, Titan and Iapetus’, MNRAS 180, 447–459 Google Scholar
Stellmacher, I.: 1982, ‘Orbites périodiques de satellites II. Libration de type Mimas-Téthys’, Celest. Mech. 28, 381–400 Google Scholar
Vienne, A.: 1991, ‘Théorie Analytique des Satellites de Saturne’, Thèse , Lille Google Scholar
Vienne, A., Duriez, L.: 1991a, ‘A general theory of motion for the eight major satellites of Saturn. II: short-period perturbations’, Astron. Astrophys. 246, 619–633 Google Scholar
Vienne, A., Duriez, L.: 1991b, ‘A general theory of motion for the eight major satellites of Saturn. III: long-period perturbations’, submitted to Astron. Astrophys. Google Scholar