P2_3 A Relative on Olympus Mons.

Abstract

 

This paper is an investigation into a variation of the Twin Paradox in relativity. In this scenario the first twin is living atop Olympus Mons, at a height of 25km above the surface level, whereas the second twin is living on the surface of Mars. The purpose of this investigation is to ascertain whether or not there would be a discernable difference in the ages of the twins due to relativistic differences over of 25 Earth years. Due to the presence of a gravitational field, it was necessary to include the effect of general relativity as well as special relativity. It was found that there the first twin would be approximately 3 seconds older than the second twin.