The Relationship Between Overlapping Resonances and Stability in Planetary Systems
Session Number
Project ID: ERSP 02
Advisor(s)
Dr. Yoram Lithwick; Northwestern University
Discipline
Earth and Space Sciences
Start Date
19-4-2023 9:05 AM
End Date
19-4-2023 9:20 AM
Abstract
Studies have been conducted to determine the role of overlapping resonance’s chaos and stability within two to three planetary systems. Most studies prove that overlapping resonances are the cause of chaotic orbits and thus the stability of systems, however, it is not understood how resonances contribute to the stability of multi-planet systems. Our project investigates the roles of overlapping first-order and second-order resonances with chaos within our own solar system and 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 and eccentricities, we can understand the relationship between the resonances and stability shown in the system. The results of our surveys will determine what factors play into the magnitude of the roles that resonances have on the stability of multi-planet systems.
The Relationship Between Overlapping Resonances and Stability in Planetary Systems
Studies have been conducted to determine the role of overlapping resonance’s chaos and stability within two to three planetary systems. Most studies prove that overlapping resonances are the cause of chaotic orbits and thus the stability of systems, however, it is not understood how resonances contribute to the stability of multi-planet systems. Our project investigates the roles of overlapping first-order and second-order resonances with chaos within our own solar system and 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 and eccentricities, we can understand the relationship between the resonances and stability shown in the system. The results of our surveys will determine what factors play into the magnitude of the roles that resonances have on the stability of multi-planet systems.