Event Title

The Relationship Between Overlapping Resonances and Chaos in Planetary Systems

Session Number

Project ID: PHYS 20

Advisor(s)

Yoram Lithwick, Northwestern University

Discipline

Physical Science

Start Date

20-4-2022 9:10 AM

End Date

20-4-2022 9:25 AM

Abstract

Studies have been conducted to determine the role overlapping resonances have on the chaos within planetary systems, primarily our own. Most studies prove that overlapping resonances are the cause of chaotic orbits, as is evidenced by the Kirkwood gaps, however, it is not understood which resonances are primarily responsible for chaotic orbits. Our project investigates the relationships of overlapping first-order and second-order resonances with chaos, within our own solar system, as well as other Kepler systems. Our investigation uses simulations, using an n-body integrator package called REBOUND, to understand the resonances found among the planets. Through simulating hundreds of thousands of systems with slight variations in orbital periods, we can understand the relationship between the resonances and chaos shown in the system. The results of our surveys will determine what factors play into the magnitude of a resonance’s role in the chaotic orbits of its affected planets.

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Apr 20th, 9:10 AM Apr 20th, 9:25 AM

The Relationship Between Overlapping Resonances and Chaos in Planetary Systems

Studies have been conducted to determine the role overlapping resonances have on the chaos within planetary systems, primarily our own. Most studies prove that overlapping resonances are the cause of chaotic orbits, as is evidenced by the Kirkwood gaps, however, it is not understood which resonances are primarily responsible for chaotic orbits. Our project investigates the relationships of overlapping first-order and second-order resonances with chaos, within our own solar system, as well as other Kepler systems. Our investigation uses simulations, using an n-body integrator package called REBOUND, to understand the resonances found among the planets. Through simulating hundreds of thousands of systems with slight variations in orbital periods, we can understand the relationship between the resonances and chaos shown in the system. The results of our surveys will determine what factors play into the magnitude of a resonance’s role in the chaotic orbits of its affected planets.