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  • Other Sources  (7)
  • ASTRONOMY  (7)
  • 1
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    Phobos' gravity field and its influence on its orbit and physical librations (1990)
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    Publication Date: 2011-08-19
    Description: A model describing the physical libration in longitude and latitude for Phobos is derived. The major effect is the well-known longitude variation with the anomalistic orbital period and amplitude. Several additional meter-sized periodic librations in longitude exist. The latitude variation is dominated by the forced precession of Phobos' figure axis with the precession of Phobos' orbital plane. The contribution of Phobos' topography to its gravity field is estimated using the control network model of Duxbury and Callahan (1989).
    Keywords: ASTRONOMY
    Type: Astronomy and Astrophysics (ISSN 0004-6361); 233; 1, Ju
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  • 2
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    The dynamics of coorbital satellite systems (1988)
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    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
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  • 3
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    Theory of motion of Saturn's coorbiting satellites (1983)
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    Publication Date: 2011-08-18
    Description: A simple analytic theory describing the 1:1 orbital resonance is presented and applied to Saturn's coorbiting pair, 1980S1 and 1980S3. These satellites are very small and can approach to within 15,000 km, but are prevented from passing each other by their mutual gravitational interaction. The long-term stability of the S1-S3 orbital configuration is discussed in this paper, and a tie between the 1966 and 1980 observations is established.
    Keywords: ASTRONOMY
    Type: Icarus (ISSN 0019-1035); 53; March 19
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  • 4
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    Diagrammatic theory of transition of pendulum like systems (1979)
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    Publication Date: 2019-06-27
    Description: Orbit-orbit and spin-orbit gravitational resonances are analyzed using the model of a rigid pendulum subject to both a time-dependent periodic torque and a constant applied torque. First, a descriptive model of passage through resonance is developed from an examination of the polynomial equation that determines the extremes of the momentum variable. From this study, a probability estimate for capture into libration is derived. Second, a lowest order solution is constructed and compared with the solution obtained from numerical integration. The steps necessary to systematically improve this solution are also discussed. Finally, the effect of a dissipative term in the pendulum equation is analyzed.
    Keywords: ASTRONOMY
    Type: Celestial Mechanics; 19; Jan. 197
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  • 5
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    Tidal acceleration of the moon (1978)
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    Publication Date: 2019-06-27
    Description: The analysis of eight years of lunar laser ranging data yields a value for the tidally induced secular acceleration of the lunar orbital longitude of -23.8 + or - 4 arcsec/century per century. For semidiurnal tidal frequencies this corresponds to a terrestrial Q = 12 + or - 2. The error in n is dominated by noise in the data and its modeling. The error is expected to decrease significantly as future data become available and it may become possible to detect an 18.6-yr periodic modulation of the acceleration which would allow the separation of the effects of diurnal and semidiurnal tides. Comparison of the secular acceleration with values published from the analysis of classical astronomical observations does not show a significant difference which can be attributed to a changing gravitational constant.
    Keywords: ASTRONOMY
    Type: Geophysical Research Letters; 5; Nov. 197
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  • 6
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    Results from lunar laser ranging data analysis (1982)
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    Publication Date: 2019-07-13
    Description: The lunar laser range data taken at McDonald Observatory between Aug. 1969 and May 1980 has been analyzed. The simple rms residual for the 2954 ranges is 31 cm. Results of the analysis include GM(earth) = 398600.45 cu km/sec sq within 0.02 cu km/sec sq and a secular acceleration of the lunar orbital mean longitude of -23.8 arcsec/sq century within 1.5 arcsec, which yields a Q of 12.3 at semidiurnal frequencies. The lunar harmonic C30 is -8.7/1,000,000 within 0.000001 and the lunar rotational dissipation of 0.0047 within 0.0005 day. Also resulting from the solution are geocentric coordinates of McDonald accurate to 30 cm, including the first value for the longitude with the new IAU constants and a dynamical equinox.
    Keywords: ASTRONOMY
    Type: High-precision earth rotation and earth-moon dynamics: Lunar distances and related observations; May 22, 1981 - May 27, 1981; Alpes-Maritimes; France
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  • 7
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    Dynamics of coorbital satellite rings (1988)
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    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
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