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  • 1
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    The geopotential in nonsingular orbital elements (1977)
    Springer
    Details
    Publication Date: 1977-08-01
    Print ISSN: 0923-2958
    Electronic ISSN: 1572-9478
    Topics: Physics
    Published by Springer
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    PAPER CURRENT
  • 2
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    On the stability of the solar system (1976)
    Institute of Physics
    Details
    Publication Date: 1976-09-01
    Print ISSN: 0004-6256
    Electronic ISSN: 1538-3881
    Topics: Physics
    Published by Institute of Physics
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  • 3
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    A semianalytical theory for the long-term motion of Pluto (1978)
    Institute of Physics
    Details
    Publication Date: 1978-05-01
    Print ISSN: 0004-6256
    Electronic ISSN: 1538-3881
    Topics: Physics
    Published by Institute of Physics
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  • 4
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    Periodic orbits of the general three-body problem for the sun-Jupiter-Saturn system (1985)
    In:  Other Sources
    Details
    Publication Date: 2011-08-19
    Description: Two families of symmetric periodic orbits of the planar, general, three-body problem are presented. The masses of the three bodies include ratios equal to the sun-Jupiter-Saturn system and the periods of the orbits of Jupiter and Saturn are in a 2:5 resonance. The (linear) stability of the orbits are studied in relation to eccentricity and mass variations. The generation of the two families of periodic orbits follows a systematic approach and employs (numerical) continuation from periodic orbits of the first and second kind in the circular restricted problem to the elliptic restricted problem and from the circular and elliptic problems to the general problem through bifurcation phenomena relating the three dynamical systems. The approach also provides insight into the evolutionary process of periodic orbits continued from the restricted problems to the general problem.
    Keywords: ASTRONOMY
    Type: Celestial Mechanics (ISSN 0008-8714); 35; 289-303
    Format: text
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  • 5
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    Periodic orbits of the elliptic restricted problem for the Sun-Jupiter-Saturn system (1982)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: A systematic approach to generate periodic orbits in the elliptic restricted problem of three bodies is introduced. The approach is based on (numerical) continuation from periodic orbits of the first and second kind in the circular restricted problem to periodic orbits in the elliptic restricted problem. Two families of periodic orbits of the elliptic restricted problem are found by this approach. The mass ratio of the primaries of these orbits is equal to that of the Sun-Jupiter system. The sidereal mean motions between the infinitesimal body and the smaller primary are in a 2:5 resonance, so as to approximate the Sun-Jupiter-Saturn system. The lineaar stabilities of these periodic orbits are studied as functions of the eccentricities of the primaries and of the infinitesimal body. The results show that both stable and unstable periodic orbits exist in the elliptic restricted problem that are close to the actual Sun-Jupiter-Saturn system. However, the periodic orbit closest to the actual Sun-Jupiter-Saturn system is (linearly) stable.
    Keywords: ASTRONOMY
    Type: Celestial Mechanics; 27; May 1982
    Format: text
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  • 6
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    Time elements in Keplerian orbital elements (1981)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Description: Time elements are introduced in terms of Keplerian (classical) orbital elements for use with time transformations of the Sundman type. Three different time elements are introduced. One time element is associated with the eccentric anomaly, a second time element is associated with the true anomaly, and a third time element is associated with the intermediate anomaly. Numerical results are presented that show accuracy improvements of from one to two orders of magnitude when time elements are employed along with Sundman time transformations, compared with using time transformations alone.
    Keywords: ASTRODYNAMICS
    Type: Celestial Mechanics; 23; Feb. 198
    Format: text
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  • 7
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    The geopotential in nonsingular orbital elements (1977)
    In:  Other Sources
    Details
    Publication Date: 2011-08-17
    Description: Singularities are eliminated from the geopotential and its partial derivatives for zero eccentricity and inclination, and an expression for the geopotential expansion based entirely on nonsingular orbital elements is developed. The argument relies on the treatments of the geopotential function given by Izsak (1964), Allan (1965) and Kaula (1966); the geopotential expansion developed does not involve mixed variables, and therefore does not require the chain rule to formulate the Lagrange planetary equations. The need for recursion relations to be used in conjunction with the nonsingular version of the geopotential expansion is also mentioned.
    Keywords: ASTRODYNAMICS
    Type: Celestial Mechanics; 15; Aug. 197
    Format: text
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  • 8
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    Hansen's method of partial anomalies - An application. (1969)
    In:  Other Sources
    Details
    Publication Date: 2011-08-12
    Description: Hansen method of partial anomalies for cometary orbits applied to comet Encke perturbed by earth and compared with perturbations by numerical integration
    Keywords: SPACE SCIENCES
    Type: ; 125-127.(
    Format: text
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  • 9
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    Long-term motion of resonant satellites with arbitrary eccentricity and inclination (1982)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: A first-order, semi-analytical method for the long-term motion of resonant satellites is introduced. The method provides long-term solutions, valid for nearly all eccentricities and inclinations, and for all commensurability ratios. The method allows the inclusion of all zonal and tesseral harmonics of a nonspherical planet. We present here an application of the method to a synchronous satellite including J2 and J22 harmonics. Global, long-term solutions for this problem are given for arbitrary values of eccentricity, argument of perigee and inclination.
    Keywords: ASTRODYNAMICS
    Type: Celestial Mechanics; 27; Aug. 198
    Format: text
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  • 10
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    Solutions of the motion of synchronous satellites with arbitrary eccentricity and inclination (1975)
    In:  CASI
    Details
    Publication Date: 2016-06-07
    Description: A first order, semianalytical theory for the long term motion of resonant satellites is presented. The theory is valid for all eccentricities and inclinations and for all commensurability ratios. The method allows the inclusion of all the zonal and tesseral harmonics as well as luni solar perturbations and radiation pressure. The method is applied to a synchronous satellite including only the J sub 2 and J sub 22 harmonics. Global, long term solutions for this problem, eccentricity, argument of perigee, and inclination are obtained.
    Keywords: ASTRODYNAMICS
    Type: NASA. Goddard Space Flight Center Flight Mech.(Estimation Theory Symp.; p 175-180
    Format: application/pdf
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