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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: 2019-06-27
    Description: The design of a drag-free satellite and its application to measuring tidal interaction of the earth and tesseral harmonics are discussed. Principle areas of discussion are: (1) the feasibility of making geophysical measurements which are not possible with conventional satellites, and (2) design of attitude and translation control systems for spinning vehicle and possible coupling of attitude and translation control for gravity stabilized vehicles.
    Keywords: SPACE VEHICLES
    Type: NASA-CR-125606
    Format: application/pdf
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  • 4
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    In:  CASI
    Publication Date: 2019-07-13
    Description: Error analysis of distant-satellite-to-close-satellite range-rate, satellite-to-sea altimetry, and ground station to satellite range are made by simulations in which observational variances are assumed, observation equations are formed, and normal equations incremented. The final normal equation matrix is inverted to obtain standard deviations and correlation coefficients. The natural parameters solved for are the broad variations of the gravity field, represented by harmonic coefficients; local variations of gravity, represented by point masses; and the departure of the sea level from the geoid, represented by area means. A standard case of a low (263 km) polar close satellite, three equatorial geosynchronous satellites, and eight ground tracking stations is set up.
    Keywords: SPACE VEHICLES
    Type: NASA-CR-130357
    Format: application/pdf
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