Showing papers in "The Astronomical Journal in 1966"
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TL;DR: In 1693 G. D. Cassini published the following empirical laws on the Moon's rotational motion: ==================(1)======¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ÃÂÃÂ
Abstract: In 1693 G. D. Cassini published the three following empirical laws on the Moon’s rotational motion:
(1)
The Moon rotates uniformly about its polar axis with a rotational period equal to the mean sidereal period of its orbit about the earth.
(2)
The inclination of the Moon’s equator to the ecliptic is a constant angle approximately 1°5.
(3)
The ascending node of the lunar orbit on the ecliptic coincides with the descending node of the lunar equator on the ecliptic.
258 citations
TL;DR: In this paper, it was shown that the set of exceptional mass ratios for which stability remains to be proved or invalidated contains only one point besides the critical mass ratios of order two and three.
Abstract: : Leontovich has proved that the triangular equilibrium positions in the planar Restricted Problem of Three Bodies are stable for almost all admissible mass ratios. It is shown here that the set of exceptional mass ratios for which stability remains to be proved or invalidated contains only one point besides the critical mass ratios of order two and three.
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TL;DR: In this article, the authors generalized Hill's equation to encompass non- necessarily isoenergetic displacements as well as the iso-energetic displacement caused by a variation of a parameter.
Abstract: : In reference to any solution of a conservative dynamical system with two degrees of freedom, Hill's equation is generalized to encompass non- necessarily isoenergetic displacements as well as the isoenergetic displacements caused by a variation of a parameter. This new variational equation is made the foundation of a methodical procedure for continuing numerically natural families of periodic orbits. The method consists of two steps-- an isoenergetic corrector and a tangential predictor. Although the algorithm makes no assumption of symmetry on the periodic orbits to be continued, special attention is paid to the symmetric orbits, but only to show how in these cases the method can be simplified substantially.
TL;DR: The results of high resolution CW radar spectral studies of Venus at NASA/JPL Deep Space Instrumentation Facility at Goldstone, California were reported in this article, showing that the radar spectral properties of the planet are similar to those of Earth.
Abstract: 1964 results of high resolution CW radar spectral studies of Venus at NASA/JPL Deep Space Instrumentation Facility at Goldstone, California
TL;DR: Plane interstellar polarization dependence on wavelength observed in 18 stars with UV and IR filters was studied in this paper, showing that the plane's polarization depends on the wavelength of the star.
Abstract: Plane interstellar polarization dependence on wavelength observed in 18 stars with UV and IR FILTER
TL;DR: In this article, the authors calculated the millimeter wavelength brightness temperatures of Mars, Jupiter and Saturn from antenna temperatures, and calculated the antenna temperature of each of the three planets from antenna measurements.
Abstract: Millimeter wavelength brightness temperatures of Mars, Jupiter and Saturn calculated from antenna temperatures