Solar Sailing 201
Introduction
Solar Sailing 101 is a qualitative introduction to solar sailing. That is, there was almost no math involved. This document will introduce the basic mathematics behind solar sails. Upon completion, the reader should be able to:
- Calculate the acceleration of a solar sail in orbit around a star.
- Plot the orbit of a solar sail that is pointed straight at the sun.
- Using a computer, calculate the trajectory of a sail held at a constant angle with respect to the sun.
Inverse Square Law
Solar pressure and gravity both decrease as you travel farther from the sun which approximates an inverse square law, which will be explained here. The photons leaving the surface of the sun expand in a continually growing sphere. These larger spheres have the same original amount of sunlight, and hence momentum, but it is spread out over a larger area, so the solar pressure is lower. Gravity works similarly, but with different principles <TBD>.
The area of the sun, with radius
Gravity
Solar sails, like other objects, are subject to gravity when travelling through space. This discussion will be limited to gravity from the sun and not the planets or other bodies. This is simpler, because both sunlight (which pushes outward) and gravity (which pulls inward) come from the same source.
The acceleration of a solar sail due to the sun's gravity
