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Dombrowski has revealed a possible connection of the sizes of planetary orbits to density of rational numbers on the number axis [1].
it is hardly surprising to find that the proportions of the human body correspond with the mathematical proportions of the planetary orbits .
In 1684, astronomer Edmund Halley and architect Sir Christopher Wren were wrestling with a mathematical proof for explaining planetary orbits.
It shows a male God coming down from on high, generating, to the left, the abstract laws and constants: perfect inscribed circles, planetary orbits, and the elements of earth, air, water, fire.
This project will be an attempt to find initial conditions conducive to stable planetary orbits within binary star system.
I realized the star's wacky motion was simply the stun of three planetary orbits," Marcy told SW.
Therefore Kepler tried to correlate planetary orbits with numbers, ratios, and plane figures, but nothing worked.
Moreover, it is the theory of gravitational forces, and of their actions, which Newton required for the derivation of planetary orbits using his dynamical geometry (in which figures move, shrink, approach limits, etc.
it had been taken for granted that planetary orbits were circles, if only because the circle was the simplest curve and there fore the most elegant and esthetic.
His treatment of the Bohr atom, for instance, is pre-1925, he still believes in electronic planetary orbits.
Twenty full-motion, 3D virtual reality simulations of the universe illustrate the principles of astronomy from finding your way around the night sky to the complex science of planetary orbits.
In the numerous multi-planetary systems around a single star for which we have checked the QCM angular momentum quantization restriction [2], not only do the planetary orbits contribute much more angular momentum than the star rotation, but also each was determined to require additional angular momentum contributions from more planets and/or the equivalent of an Oort Cloud.

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