Newton's Gravity by Douglas W. MacDougal
Author:Douglas W. MacDougal
Language: eng
Format: epub
Publisher: Springer New York, New York, NY
We want the left side to be just velocity, so we multiply each side by r 2 :
Taking the square root of each side yields the circular orbital velocity of m 2 about the center of mass:
By the same reasoning, the velocity of m 1 is,
Third part of the problem: The above equations appear quite disparate in form and origins, but they are easily reconciled. Since they each represent velocities around the center of mass, let us pick one set and equate them to see what falls out. The two equations we found for v2 are:
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