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  • 1
    Electronic Resource
    Electronic Resource
    Robe's restricted three-body problem revisited (1995)
    Springer
    Celestial mechanics and dynamical astronomy 61 (1995), S. 197-206 
    Details
    ISSN: 1572-9478
    Keywords: Restricted three body problem ; buoyancy forces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Robe's restricted three-body problem is reanalyzed with a view to incorporate a new assumption, namely that the configuration of the fluid body is that described by an hydrostatic equilibrium figure (Roche's ellipsoid). In the concomitant gravitational field a full treatment of the buoyancy force is given. The pertinent equations of motion are derived, the linear stability of the equilibrium solution is studied and the connection between the effect of the buoyancy forces and a perturbation of the Coriolis force is pointed out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00048515
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  • 2
    Electronic Resource
    Electronic Resource
    Robe's restricted three-body problem with drag (1996)
    Springer
    Celestial mechanics and dynamical astronomy 66 (1996), S. 229-242 
    Details
    ISSN: 1572-9478
    Keywords: buoyancy forces ; drag forces ; restricted three-body problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Robe's restricted three-body problem is investigated with regards to the effects of a linear drag force. In particular. the stability of the model's equilibrium points is studied in this respect. Two scenarios are envisaged: the one originally discussed by Robe himself and the one suggested by him and recently analyzed by the present authors, that assumes for the fluid body the structure of a Roche's ellipsoid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00054966
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  • 3
    Electronic Resource
    Electronic Resource
    Jacobi Dynamics And The N-Body Problem With Variable Masses (1999)
    Springer
    Celestial mechanics and dynamical astronomy 75 (1999), S. 165-183 
    Details
    ISSN: 1572-9478
    Keywords: Jacobi dynamics ; N-body problem ; variable mass
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An appropriate generalization of the Jacobi equation of motion for the polar moment of inertia I is considered in order to study the N-body problem with variable masses. Two coupled ordinary differential equations governing the evolution of I and the total energy E are obtained. A regularization scheme for this system of differential equations is provided. We compute some illustrative numerical examples, and discuss an average method for obtaining approximate analytical solutions to this pair of equations. For a particular law of mass loss we also obtain exact analytical solutions. The application of these ideas to other kind of perturbed gravitational N-body systems involving drag forces or a different type of mass variation is also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008320909278
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