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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 62 (1995), S. 23-41 
    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
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 72 (1998), S. 187-199 
    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
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  • 3
    Publication Date: 2006-10-26
    Description: Earth gravitational field determination from Baker-Nunn camera observations
    Keywords: GEOPHYSICS
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  • 4
    Publication Date: 2006-10-26
    Description: Tesseral harmonics of gravitational field and geodetic datum shifts derived from Baker-Nunn camera observations of satellites
    Keywords: GEOPHYSICS
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  • 5
    Publication Date: 2006-10-26
    Description: Gravity anomalies and use of reference ellipsoid in determining distribution of stress differences
    Keywords: GEOPHYSICS
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  • 6
    Publication Date: 2013-08-31
    Description: Models incorporating plate-like behavior, i.e., near uniform surface velocity and deformation concentrated at plate boundaries, into a convective system, heated by a mix of internal and basal heating and allowing for temperature dependent viscosity, were constructed and compared to similar models not possessing plate-like behavior. The simplified numerical models are used to explore how plate-like behavior in a convective system can effect the lower boundary layer from which thermal plumes form. A principal conclusion is that plate-like behavior can significantly increase the temperature drop across the lower thermal boundary layer. This temperature drop affects the morphology of plumes by determining the viscosity drop across the boundary layer. Model results suggest that plumes on planets possessing plate-like behavior, e.g., the Earth, may differ in morphologic type from plumes on planets not possessing plate-like behavior, e.g., Venus and Mars.
    Keywords: GEOPHYSICS
    Type: Lunar and Planetary Inst., Twenty-Fourth Lunar and Planetary Science Conference. Part 2: G-M; p 865-866
    Format: application/pdf
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  • 7
    facet.materialart.
    Unknown
    In:  CASI
    Publication Date: 2013-08-29
    Description: The thermal state of the Earth at the time relevant to formation of a magma ocean was dominated by the great impact that created the Moon. As shown in computer experiments, the iron in the impacting bodies quickly sank to the core of the proto-Earth, while a significant fraction of silicates was pushed far enough out beyond the geosynchronous limit to constitute the main material of the Moon. Most of any atmosphere would have been pushed aside, rather than being expelled in the impact. However, the energy remaining in the material not going to the core or expelled was still sufficient to raise its temperature some 1000's of degrees, enough to vaporize silicates and to generate a strong 'planetary wind': a hydrodynamic expansion carrying with it virtually all volatiles plus appreciable silicates. This expansion was violent and uneven in its most energetic stage, but probably the resulting magma ocean was global. The duration, until cooling, was sufficient for silicates to condense to melt and the duration was probably short. Comparison of the Earth and Venus indicates that the great impact was extraordinarily effective in removing volatiles from the proto-Earth; in particular, the enormous differences in primordial inert gases between the planets demand a catastrophic difference in origin circumstances. On the other hand, the comparison limits the amount of silicates lost by the Earth to a rather minor fraction; most of that expelled in the wind must have condensed soon enough for the silicate to fall back to Earth or be swept up by the proto-Moon. So the Earth was left with a magma ocean. The question is whether sufficient water was retained to constitute a steam atmosphere. Probably not, but unknowns affecting this question are the efficiencies of outgassing in great impacts and in subsequent convective churnings deep in the mantle. During the stage when mantle convection is turbulent, an appreciable fraction of volatiles were also retained at depth, perhaps in some mineral phases not yet well-defined. We still have primordial helium being outgassed.
    Keywords: GEOPHYSICS
    Type: Lunar and Planetary Inst., Workshop on the Physics and Chemistry of Magma Oceans from 1 Bar to 4 Mbar; p 33
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  • 8
    facet.materialart.
    Unknown
    In:  Other Sources
    Publication Date: 2018-12-01
    Description: Gravitational field and crust of Earth related to Earth shape
    Keywords: GEOPHYSICS
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  • 9
    Publication Date: 2019-05-29
    Description: Simultaneous determinations of tesseral harmonic coefficients of gravitational field, ground station coordinates, and orbital elements by satellite photographic tracking
    Keywords: GEOPHYSICS
    Type: NASA-CR-71392
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  • 10
    Publication Date: 2019-05-30
    Description: Tesseral harmonics of Earth gravitational field camera tracking of five satellites
    Keywords: GEOPHYSICS
    Type: JOURNAL OF GEOPHYSICAL RESEARCH
    Format: text
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