Giordano, C. M.; Plastino, A. R.; Plastino, A. Robe’s restricted three-body problem with drag. (English) Zbl 0890.70006 Celest. Mech. Dyn. Astron. 66, No. 2, 229-242 (1997). Summary: Robe’s restricted three-body problem is investigated with regards to the effects of a linear drag force. In particular, we study stability of the model’s equilibrium points. Two scenarios are envisaged: the one originally discussed by Robe himself, and the one that assumes for the fluid body the structure of a Roche’s ellipsoid. Cited in 7 Documents MSC: 70F07 Three-body problems 76B99 Incompressible inviscid fluids Keywords:buoyancy forces; stability of equilibrium points; linear drag force; Roche’s ellipsoid PDFBibTeX XMLCite \textit{C. M. Giordano} et al., Celest. Mech. Dyn. Astron. 66, No. 2, 229--242 (1997; Zbl 0890.70006) Full Text: DOI References: [1] Chandrasekhar, S.: 1987, Ellipsoidal Figures of Equilibrium, Dover Publications, Inc., New York. · Zbl 0213.52304 [2] Danby, J. M. A.: 1985. Resonances in the Motion of Planets. Satellites and Asteroids, edited by S. Ferraz-Mello and W. Sessin, Instituto Astrônomico e Geofísico, Universidade de Saõ Paulo, Saõ Pablo. · Zbl 0595.70024 [3] Danby, J. M. A.: 1992. Fundamentals of Celestial Mechanics. Willmann-Bell Inc., USA, 265. [4] Plastino, A. R. and Plastino, A.: 1995, Celest. Mech. 61, 197-206. · Zbl 1375.70033 · doi:10.1007/BF00048515 [5] Robe, H. A. G.: 1977, Celest. Mech. 16, 343-351. · Zbl 0374.70007 · doi:10.1007/BF01232659 [6] Shrivastava, A. K. and Garain, D.: 1991. Celest. Mech. 51. 67-73. · Zbl 0754.70008 · doi:10.1007/BF02426670 [7] Soares, D. S. L.: 1992, Rev. Mex. A. A. 24, 3-8. [8] Wilf, H. S.: 1962. Mathematics for the Physical Sciences, John Wiley and Sons. Inc., New York. · Zbl 0105.26803 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.