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  • 1
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    Unknown
    In:  Other Sources
    Publication Date: 2011-08-12
    Description: Unpowered orbital transfer and flight paths, discussing accessibility elliptical boundary and minimum energy trajectories
    Keywords: SPACE SCIENCES
    Type: ; ADEMIE DES SCIENCES
    Format: text
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  • 2
    Publication Date: 2019-01-25
    Description: No abstract available
    Keywords: SPACE RADIATION
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  • 3
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    Unknown
    In:  Other Sources
    Publication Date: 2019-06-27
    Description: The relative motion of two particles on adjacent orbits about the same primary has been investigated under the condition that both motions have the same period. The geometrical properties of the relative displacement and velocity traces, on representative planes, are studied. A complete state of the motion is given; and, the range and range-rate variations, over one or more orbits, are described. It has been found that cusps appear on some of the traces provided that a proper relationship exists between the eccentricity and inclination. (Here, one particle moves on a circular path while the second moves on an ellipse). The conditions for which cusps appear are given, and typical traces are shown.
    Keywords: SPACE SCIENCES
    Type: Celestial Mechanics; 7; Jan. 197
    Format: text
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  • 4
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    In:  CASI
    Publication Date: 2019-06-27
    Description: The relative motion problem is analyzed, as a linearized case, and as a numerically determined solution to provide a time history of the geometries representing the motion state. The displacement history and the hodographs for families of solutions are provided, analytically and graphically, to serve as an aid to understanding this problem area. Linearized solutions to relative motion problems of orbiting particles are presented for the impulsive and fixed thrust cases. Second order solutions are described to enhance the accuracy of prediction. A method was developed to obtain accurate, numerical solutions to the intercept and rendezvous problem; and, special situations are examined. A particular problem related to relative motions, where the motion traces develop a cusp, is examined in detail. This phenomenon is found to be dependent on a particular relationship between orbital eccentricity and the inclination between orbital planes. These conditions are determined, and, example situations are presented and discussed.
    Keywords: SPACE SCIENCES
    Type: NASA-CR-112113 , REPT-72-27
    Format: application/pdf
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  • 5
    Publication Date: 2019-06-27
    Description: Geometric traces can be simply constructed to illustrate the relative motions experienced by particles in a number of problem situations. These diagrams describe the displacements and hodographs which arise as a consequence of initial value inputs and selected disturbance (force) conditions. Due to the linearization which is imposed on the mathematical formulation there is a separation of the in-plane and out-of-plane coordinate solutions. The construction of in-plane traces is easier to represent and to visualize. The out-of-plane geometries are the more complicated cases and generally need some added specializations in order to acquire figures which have some degree of symmetry and simplicity.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: NASA-CR-132410-3 , REPT-73-39
    Format: application/pdf
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  • 6
    Publication Date: 2019-06-27
    Description: The mathematical developments carried out for this investigation are reported. In addition to describing and discussing the solutions which were acquired, there are compendia of data presented herein which summarize the equations and describe them as representative trace geometries. In this analysis the relative motion problems have been referred to two particular frames of reference; one which is inertially aligned, and one which is (local) horizon oriented. In addition to obtaining the classical initial values solutions, there are results which describe cases having applied specific forces serving as forcing functions. Also, in order to provide a complete state representation the speed components, as well as the displacements, have been described. These coordinates are traced on representative planes analogous to the displacement geometries. By this procedure a complete description of a relative motion is developed; and, as a consequence range rate as well as range information is obtained.
    Keywords: PHYSICS, ATOMIC, MOLECULAR, AND NUCLEAR
    Type: NASA-CR-132410-2 , REPT-74-3
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  • 7
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    In:  CASI
    Publication Date: 2019-06-27
    Description: A method was developed for determining the fundamental tidal frequencies for closed basins of water, by means of an eigenvalue analysis. The mathematical model employed, was the Laplace tidal equations.
    Keywords: OCEANOGRAPHY
    Type: NASA-CR-156755 , AMA-78-11
    Format: application/pdf
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  • 8
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    Unknown
    In:  Other Sources
    Publication Date: 2019-06-27
    Description: The mathematical model considers a large particle (m sub 1), such as a space station, and a smaller particle (m sub 2), connected by an ideal, massless tether, i.e., one incapable of sustaining other than tensile loads. The problem situation described offers a practical solution which should be quite useful in certain space flight operations, especially for the transfer of cargo and personnel and for retrieval and rescue operations. The idea is simple in its application and does not appear to require sophisticated hardware. An appealing advantage is that it is infinitely reusable, i.e., it could be rewound and used over and over again.
    Keywords: PHYSICS, GENERAL
    Type: Journal of Spacecraft and Rockets; 11; Apr. 197
    Format: text
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  • 9
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    Unknown
    In:  CASI
    Publication Date: 2019-06-27
    Description: Hodograph of two body motion utilized to develop analytic relations for trajectories
    Keywords: SPACE SCIENCES
    Type: NASA-TM-X-63307 , X-643-68-264
    Format: application/pdf
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  • 10
    Publication Date: 2019-06-27
    Description: Calculating swing-by maneuver of gravity assisted trajectories
    Keywords: SPACE SCIENCES
    Type: NASA-TM-X-63621 , X-643-69-297
    Format: application/pdf
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