The libration of a lunar satellite
Energy and motion equations for libration of lunar satellite
MOTION EQUATION↗
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Mission to the libration centers.
Spacecraft mission to libration centers of Earth- Moon system for collecting meteoroids and photographic program carried out for establishing presence of material at centers
METEOROID↗
On an extension of the Lagrange-Laplace theory of the Moon's physical librations.
Lagrange-Laplace theory of lunar physical librations extended to include reduced estimate of mechanical ellipticity of lunar equator
LIBRATIONAL MOTION↗
The Libration of Mercury
Numerical solutions for librational motion of Mercury obtained by applying Runge-Kutta integration
NUMERICAL ANALYSIS↗
Instability of periodic motions near collinear points of libration in the restricted problem of three bodies
Instability of periodic motions near collinear points of libration in plane restricted three- body problem examined with Liapunov theory
PERIODIC OSCILLATION↗
A ''Hummingbird'' for the L2 lunar libration point
Mathematical analysis of lunar libration point for anchoring communications satellite to backside of moon
LUNAR SATELLITE↗
Physical libration of a deformable moon theory I Semiannual progress report, Aug. 29, 1966 - Feb. 28, 1967
Lunar gravity field and physical librations of moon
LIBRATIONAL MOTION↗
Motion of a spacecraft near a triangular libration point of the Earth-Moon system
Motion of spacecraft near triangular libration point of Earth-Moon system
LIBRATIONAL MOTION↗
Outline of a theory of nonperiodic motions in the neighborhood of the long-period librations about the equilateral points of the restricted problem of three bodies.
Long period of nonperiodic librational motion about equilateral points of restricted three-body problem
TROJAN ORBIT↗
Elements of a theory of librational motions in the elliptical restricted problem.
Nonperiodic librational motions in restricted three-body problem for relatively elliptic motion of two finite masses
LIBRATIONAL MOTION↗
The structural and librational dynamics of a satellite deploying flexible booms or antennas.
Structural and librational dynamics of satellite deploying flexible booms or antennas
LIBRATIONAL MOTION↗
Station-keeping in the vicinity of collinear libration points with an application to a lunar communications problem.
Feedback control system to position satellite in vicinity of unstable collinear libration point with application to lunar communication problem
SATELLITE CONTROL↗
Third-order stability of the long-period Trojan librations.
Stability analysis of long period Trojan librations treated as short period oscillations about long period reference solution
SECULAR PERTURBATION↗
Periodic motion around the triangular libration point in the restricted problem of four bodies.
Periodic motion around triangular libration point in restricted four-body problem of earth-moon-sun system
EARTH-MOON SYSTEM↗
Station-keeping in the vicinity of collinear libration points with an application to a lunar communications problem.
Feedback control system to position satellite in vicinity of unstable collinear libration point applied to lunar communication problem
LUNAR COMMUNICATION↗
Sun-Earth Libration Point Trajectory Analysis
Due to the constant observation environment and low energy access of Sun-Earth libration point orbits, they have become extremely popular for many NASA science missions. The nonlinearity and instability of the orbits have made mission analysis more difficult as traditional approximations are no longer applicable. But the sensitivity of the orbits also provides greater flexibility in orbit design. Some typical mission trajectories are examined.
Sun-Earth Libration↗
Understanding the Sun-Earth Libration Point Orbit Formation Flying Challenges For WFIRST and Starshade
In order to fly an occulter in formation with a telescope at the Sun-Earth L2 (SEL2) Libration Point, one must have a detailed understanding of the dy-namics that govern the restricted three body system. For initial purposes, a linear approximation is satisfactory, but operations will require a high-fidelity modeling tool along with strategic targeting methods in order to be successful. This paper focuses on the challenging dynamics of the transfer trajectories to achieve the relative positioning of two spacecraft to fly in formation at SEL2, in our case, the Wide-Field Infrared Survey Telescope (WFIRST) and a proposed Starshade. By modeling the formation transfers using a high fidelity tool, an accurate V approximation can be made to as-sist with the development of the subsystem design required for a WFIRST and Starshade formation flight mission.
Sun-Earth-Moon↗
Libration Orbit Eclipse Avoidance Maneuver Study for the James Webb Space Telescope Mission
Mission analysis of libration orbit trajectories at Sun-Earth/Moon L2 typically includes predictions of lunar and Earth eclipses during the mission life-time. The NASA James Webb Space Telescope (JWST) trajectory, by design, avoids these eclipses by pruning its launch window. In an off-nominal scenario where an eclipse is predicted, a maneuver strategy is needed. In this paper, trade studies are examined for JWST that characterize the burn magnitude, location, and epochs of multiple maneuver plans to avoid an eclipse. The results enable analysts to explore the space of feasible maneuver strategies during routine operations.
Maneuver design↗