(1)

Define

(2)

(3)

where is the so-called reduced mass. The vector displacement from to is

(4)

The distance between the two mutually orbiting bodies is

(5)

Equations (1)-(5) lead to the identities

a graduate student in physics I took a few courses in the Math department out of curiosity.

Born in October 1811, Galois lived just 21 years. His mathematical genius exploded at about age 14 when he obtained a copy of a geometry text written by Legendre. Galois blew through it at a rate others might pace themselves to read a comic book. His appetite for mathematics whetted Galois grew impatient with dim-witted fellow students and slow instructors. E.T. Bell in his classic “Men of Mathematics” uses the marvelous phrase “He was forced to lick up the stale leavings which his genius had rejected”. He was rejected for admission to the prestigious Ecole Polytechnique not once but twice