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In order to explain the motion of the planets, Ptolemy combined eccentricity with an epicyclic model.
"Once you understand the math behind how to apply that law, you can explain the motion of almost anything," she said.
In an interesting mathematical coincidence, these mini-galaxies move about in the simulation obeying the same equation that Einstein used to explain the motion of a particle in a gas.
To explain the motion of the tides, for example, a physicist might appeal to simple generalizations about the correlation between tidal motion and the Moon's proximity to the Earth.
He must also find an alternative basis for the basic principles that underlie and explain the motion and interaction of bodies.
Thus the only way to explain the motion of the heavenly bodies is to posit the existence of a being that is neither a body nor a force in a body.
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Astronomers explain the motions by invoking shrouds of dark matter, containing perhaps 10 times more mass than we can see.
Astronomers have photographed what could be MACHOs (massive compact halo objects --hypothetical dark objects --hypotheticalcobjects --hypotheticalmotions of the galaxy's visible stars.
It was left to Newton's invention of celestial dynamics and his law of gravitation to finally explain the motions of the planets.
One alternative to dark matter is known as Modified Newtonian Dynamics, or MOND, which tweaks how gravity works at large scales to help explain the motions of stars and galaxies that researchers observe.
This theory explained the motion of celestial objects to an astonishing degree of precision.
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