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The Precession of Mercury's Perihelion: A Mystery and a Mathematical Solution

Taylor Seitz

Guilford College

30 April 2013

First, Kepler's 1st

first law illustration

illustration of apses and velocity

"The orbit of every planet is an ellipse, with the Sun at one of the two foci."

...but what does that even mean?

  • What's a precession?
  • What's a perihelion?
  • ????????????????

Objectives

  • Calculate the precession for the perihelion of the planet Mercury, using a 4th-order Runge-Kutta method in a MATLAB program
  • Demonstrate how this was used to show that Einstein's Theory of General Relativity was "not wrong"
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