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  • ASTRONOMY  (2)
  • 1985-1989  (2)
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  • 1
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    The dynamics of coorbital satellite systems (1988)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: The dynamical behavior of N coorbital satellites moving with the same average mean motion around a primary has been studied both analytically and by numerical integrations for N from 2 to 9 satellites. Simplified dynamical equations are used to determine the different stationary configurations and their local stability against infinitesimal perturbations. The ring of equally spaced identical satellites is found to be locally unstable for N of six or less, while for N from two to eight there exists another stable compact stationary configuration with separations of 60 deg or less between adjacent satellites. For N of seven or more the equally spaced configuration becomes locally stable, and for N of nine or more it is the only stationary configuration. The motion becomes chaotic for large-amplitude perturbations. The chaotic motion fills a restricted region of phase space whose outer boundary is determined by the maximum velocity curve.
    Keywords: ASTRONOMY
    Type: Astronomy and Astrophysics (ISSN 0004-6361); 205; 1-2,; 309-327
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    Dynamics of coorbital satellite rings (1988)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: The dynamical behavior of a coorbital satellite ring is studied for N = 2-9 satellites, in terms of a simplified dynamical description, in which the motion is reduced to the separation angles between satellites. The number and stability of different kinds of stationary configurations is explored, revealing that equally spaced rings are not stable against small perturbations for N not greater than 6, while for N = 2-8 there exists another, stable compact solution. Integrations of exact equations confirm these results. Moreover, the systems are found to display chaotic characteristics for a certain range of energy. The behavior can be interpreted in terms of maximum velocity curves, defining the allowed region of the motion in the phase space.
    Keywords: ASTRONOMY
    Type: IAU Colloquium; Jun 14, 1987 - Jun 19, 1987; Turku; Finland
    Format: text
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    NASA TECHNICAL REPORTS
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