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  • 1
    Electronic Resource
    Electronic Resource
    Periodic orbits in the Planar General Three-Body Problem (1975)
    Springer
    Celestial mechanics and dynamical astronomy 11 (1975), S. 13-38 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The article contains a numerical study of periodic solutions of the Planar General Three-Body Problem. Several new periodic solutions have been discovered and are described. In particular, there is a continuous family with variable masses, extending all the way from the elliptic restricted problem to the general problem with three equal masses. All our examples have special symmetry properties which are described in detail. Finally we also suggest some important applications to the natural satellites of the solar system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228732
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    A note on the solution of the variational equations of a class of dynamical systems (1976)
    Springer
    Celestial mechanics and dynamical astronomy 14 (1976), S. 383-392 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Some properties are derived for the solutions of the variational equations of a class of dynamical systems. It is shown that in rather general conditions the matrix of the linearized Lagrangian equations of motion have an important property for which the word ‘skew-symplectic’ has been introduced. It is also shown that the fundamental matrix of solutions is ‘symplectic’, the word symplectic being used here in a more general sense than in the classical literature. Two consequences of the symplectic property are that the fundamental matrix is easily invertible and that the eigenvalues appear in reciprocal pairs. The effect of coordinate transformations is also analyzed; in particular the change from Lagrangian to canonical systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01228524
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    Paper (German National Licenses)
    Fulltext
  • 3
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    Periodic orbits in the Planar General Three-Body Problem (1975)
    Springer
    Details
    Publication Date: 1975-02-01
    Print ISSN: 0923-2958
    Electronic ISSN: 1572-9478
    Topics: Physics
    Published by Springer
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    PAPER CURRENT
  • 4
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    A note on the solution of the variational equations of a class of dynamical systems (1976)
    Springer
    Details
    Publication Date: 1976-11-01
    Print ISSN: 0923-2958
    Electronic ISSN: 1572-9478
    Topics: Physics
    Published by Springer
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    PAPER CURRENT
  • 5
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    Satellite orbit determination (1979)
    In:  CASI
    Details
    Publication Date: 2006-01-16
    Description: The determination of the Mars-centered ephemerides of the Viking Orbiters and positions of the Landers from two way Doppler and range data is described. An overview of mission satellite orbit determination functions and methods is given. Topics covered include: postmaneuver orbit convergence, local orbit knowledge accuracies, the effects of interplanetary media, use of constrained solutions, and solving through trim burns. Procedure and results relevant to the determination of the planet gravity field are included. Results relative to sensing Mars' gravity field during the extended mission are presented along with a discussion of the Phobos Flyby Experiment conducted during February 1977.
    Keywords: LAUNCH VEHICLES AND SPACE VEHICLES
    Type: Viking Navigation; p 109-152
    Format: text
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    NASA TECHNICAL REPORTS
  • 6
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    A note on the solution of the variational equations of a class of dynamical systems (1976)
    In:  Other Sources
    Details
    Publication Date: 2011-08-17
    Description: Some properties are derived for the solutions of the variational equations of a class of dynamical systems. It is shown that under rather general conditions, the matrix of the linearized Lagrangian equations of motion have an important property for which the word 'skew-symplectic' has been introduced. It is also shown that the fundamental matrix of solutions is 'symplectic', the word symplectic being used here in a more general sense than in the classical literature. Two consequences of the symplectic property are that the fundamental matrix is easily invertible and that the eigenvalues appear in reciprocal pairs. The effect of coordinate transformations is also analyzed; in particular, the change from Lagrangian to canonical systems.
    Keywords: NUMERICAL ANALYSIS
    Format: text
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    NASA TECHNICAL REPORTS
  • 7
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    Periodic orbits in the Planar General Three-Body Problem (1975)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: The article contains a numerical study of periodic solutions of the Planar General Three-Body Problem. Several new periodic solutions have been discovered and are described. In particular, there is a continuous family with variable masses, extending all the way from the elliptic restricted problem to the general problem with three equal masses. All our examples have special symmetry properties which are described in detail. Finally we also suggest some important applications to the natural satellites of the solar system.
    Keywords: ASTRODYNAMICS
    Type: Celestial Mechanics; 11; Feb. 197
    Format: text
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    NASA TECHNICAL REPORTS
  • 8
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    Viking satellite orbit determination (1977)
    In:  Other Sources
    Details
    Publication Date: 2019-07-13
    Description: During the summer of 1976, the two Viking spacecraft, each consisting of an orbiter-lander combination, were inserted into orbit about Mars. The paper describes the experiences of the Viking Satellite Orbit Determination Team in determining Mars centered ephemerides of the orbiters and positions of the landers from the two-way Doppler and range data, and synthesizes the different phases of the navigation plan which involves pre-flight modeling and error analysis for all Viking navigation functions from launch through landing. The problem of initial orbit convergence is solved by using DPODP's (Double Precision Orbit Determination Program) square-root batch data filter, and gravity models for both Viking I and Viking II were produced from the combination of short arc estimates. The importance of synchronous Viking orbits (with the rotational period of Mars) is stressed and future extended missions of the spacecraft are outlined.
    Keywords: SPACE COMMUNICATIONS, SPACECRAFT COMMUNICATIONS, COMMAND AND TRACKING
    Type: AIAA PAPER 77-70 , Aerospace Sciences Meeting; Jan 24, 1977 - Jan 26, 1977; Los Angeles, CA
    Format: text
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    NASA TECHNICAL REPORTS
  • 9
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    Seasat scatterometer - Results of the Gulf of Alaska workshop (1979)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: The Seasat microwave scatterometer was designed to measure, globally and in nearly all weather, wind speed to an accuracy of plus or minus 2 meters per second and wind direction to plus or minus 20 deg in two swaths 500 kilometers wide on either side of the spacecraft. For two operating modes in rain-free conditions, a limited number of comparisons to high-quality surface truth indicates that these specifications may have been met.
    Keywords: SPACECRAFT INSTRUMENTATION
    Type: Science; 204; June 29
    Format: text
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    NASA TECHNICAL REPORTS
  • 10
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    Differential altimetry for satellite orbit determination (1977)
    In:  Other Sources
    Details
    Publication Date: 2019-07-27
    Description: Differential altimetry is concerned with the employment of differenced satellite altimeter measurements at orbit ground trace intersections. The employment of this procedure makes it possible to eliminate two of the major error sources found in direct altimetry. Previous applications have not included the appropriate dynamic constraints required to account for correlations due to satellite orbit motion. A description is given of an investigation in which these correlations are included. The methodology produced is consistent with the dynamic environment. The regional or local limitations of previous approaches are overcome by extending the technique to the global scale. Attention is given to the description of the data type, the geometric topography height, altimeter errors, discretization errors, an approximate orbit determination problem, and a comparison of differenced altimeter measurements for retrograde and prograde orbits.
    Keywords: ASTRODYNAMICS
    Type: Astrodynamics Specialist Conference; Sept. 7-9, 1977; Jackson Hole, WY; US
    Format: text
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    NASA TECHNICAL REPORTS
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