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  • perturbation theory  (2)
  • ASTRONOMY  (1)
  • ELECTRONIC EQUIPMENT  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Singularly weighted symplectic forms and applications to asteroid motion (1995)
    Springer
    Celestial mechanics and dynamical astronomy 62 (1995), S. 23-41 
    Details
    ISSN: 1572-9478
    Keywords: Hamiltonian dynamics ; symplectic forms ; asteroid motion ; perturbation theory ; secular resonances
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract New techniques to study Hamiltonian systems with Hamiltonian forcing are proposed. They are based on singularly weighted symplectic forms and transformations which preserve these forms. Applications pertaining to asteroid motion are outlined. These involve the presence of both Jupiter and Saturn.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00692067
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Mass-Weighted Symplectic Forms for the N-Body Problem (1998)
    Springer
    Celestial mechanics and dynamical astronomy 72 (1998), S. 187-199 
    Details
    ISSN: 1572-9478
    Keywords: symplectic form ; symplectic mapping ; Hamiltonian formalism ; perturbation theory ; N-body problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Mass-weighted symplectic forms provide a unified framework for the treatment of both finite and vanishingly small masses in the N-body problem. These forms are introduced, compared to previous approaches, and their properties are discussed. Applications to symplectic mappings, the definition of action-angle variables for the Kepler problem, and Hamiltonian perturbation theory are outlined
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008374927645
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    Paper (German National Licenses)
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  • 3
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    ESTIMATION OF LONGITUDINAL VARIATIONS IN THE EARTH'S GRAVITATIONAL FIELD FROM MINITRACK OBSERVATIONS (1961)
    In:  CASI
    Details
    Publication Date: 2006-10-26
    Description: Longitudinal variations in the earths gravitational field from minitrack observations
    Keywords: ELECTRONIC EQUIPMENT
    Format: text
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    NASA TECHNICAL REPORTS
  • 4
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    A gravitational kinetic theory for planetesimals (1980)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: An analytical theory is developed for the velocity evolution of nonaccreting planetesimal populations, based on the Boltzmann and Fokker-Planck equations. Adapting Shkarofsky's calculation of plasma viscosities, the rate of increase in random velocities due to gravitational encounters between planetesimals of equal mass is found to be one-third to one-half Safronov's result. Comparison with Wetherill's numerical experiments suggests that the Fokker-Planck equation underestimates the effectiveness of encounters and that Safronov's value is approximately correct. For populations of nonuniform sizes, the Fokker-Planck equation indicates an efficient redistribution of energy from the largest bodies to the smaller ones. By conserving angular momentum, the rate of radial spreading of orbits is also derived.
    Keywords: ASTRONOMY
    Type: Icarus; 44; Oct. 198
    Format: text
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    NASA TECHNICAL REPORTS
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