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Title: "Three body orbits in general relativity"
Abstract: The three body problem is a beautiful example of orbital dynamics, giving rise to fascinating closed orbits amidst an infinite space of chaotic outcomes. As such, it has been examined extensively under classical conditions for hundreds of years. However, relatively little treatment has been given to these orbits under a general relativistic lens. This thesis examines various outcomes of known closed orbits when general relativity is applied, including the emission of gravitational waves and changes in a measure of chaotic behavior, the Lyapunov exponent. By applying computational methods to a unique set of non-planar orbits, we seek to acquire new understanding of three body orbits in the setting of general relativity.
Advisor: Professor Robert Caldwell
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https://dartmouth.zoom.us/j/91658835763?pwd=WXVVYmNXZ2lGVVkxRlBRZjBmYS85UT09
Meeting ID: 916 5883 5763
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