A lunar libration point experiment.
Lunar libration point L4 photographs taken during 6 October 1968 eclipse showing no discrete objects or clouds
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Lunar libration point L4 photographs taken during 6 October 1968 eclipse showing no discrete objects or clouds
Flight mechanics and mass requirements for one-shot lunar missions utilizing rendezvous at libration points in front of and behind moon
Perturbation theory based on Lie transforms and application to motion stability near sun perturbed earth-moon triangular libration points
Libration point criteria for alternate Apollo missions of Saturn-type vehicles
Libration clouds reality possibility from satellite dust counting experiments
Material elasticity effects on librational motion of arbitrary shaped satellite
Book on passive gravity gradient libration dampers covering design, flight experience, evaluation criteria, performance monitoring, failure prevention, etc
Controlled libration point satellite limit cycle motion, deriving solution in infinite series by harmonic analysis
Lunar gravitational field effect on sun-earth exterior libration point location, examining placement on line passing through sun and earth-moon barycenter
Libration point satellite stationkeeping control
Effects of lunar physical librations on orbital elements of lunar satellite
Design criteria for passive gravity-gradient libration dampers
Two dimensional motion stability near sun-perturbed earth-moon triangular libration points, using computerized high order treatment
Three body stellar problem libration calculation using nonlinear mechanics methods, and application to lunar satellite perturbation by earth and lunar gravitational effects
Eleven photographs were taken of the L sub 4 earth-moon libration region during the Gemini 12 mission. The objective was to investigate the possible existence of clouds or particles of dust orbiting the earth in the L sub 4 region by the use of photographic techniques. No identifiable data were found in the first sequence of five photographs. Star field images could be recognized in two photographs of the second sequence of pictures. A light flare, of unknown source but possibly caused by light refraction from the window of the spacecraft, was recorded in both pictures. A reconstructed star field region (as photographed) is shown Isodensitraces of the two recognizable star fields were made; however, no conclusive results were obtained.
Discussion of the applicability to lunar physics of the libration measurements obtained from the Apollo lunar laser ranging experiment, and assessment of the data obtained with respect to their adequacy for providing the desired information. A review of measurement principles and lunar properties is followed by an evaluation of the status of data collection.
Analytical solutions for quasi-periodic orbits about the translunar libration point are obtained by using the method of Lindstedt-Poincare and computerized algebraic manipulations. The solutions include the effects of nonlinearities, lunar orbital eccentricity, and the sun's gravitational field. For a small-amplitude orbit, the orbital path as viewed from the earth traces out a Lissajous figure. This is due to a small difference in the fundamental frequencies of the in-plane and out-of-plane oscillations. However, when the amplitude of the in-plane oscillation is greater than 32,379 km, there is a corresponding value of the out-of-plane amplitude that will produce a path where the fundamental frequencies are equal. This synchronized trajectory describes a 'halo orbit' of the moon.