247 citations · 1.3k across the 31 of their papers we have counts for
5 papers · 1 filter
The Criterion for Chaos in Three-Planet Systems
Jeremy Rath, Sam Hadden, Yoram Lithwick
We establish the criterion for chaos in three-planet systems, for systems similar to those discovered by the Kepler spacecraft. Our main results are as follows: (i) The simplest cr…
Rare Event Sampling Improves Mercury Instability Statistics
Dorian S. Abbot, Robert J. Webber, Sam Hadden +2
Due to the chaotic nature of planetary dynamics, there is a non-zero probability that Mercury's orbit will become unstable in the future. Previous efforts have estimated the probab…
How Close are Compact Multi-Planet Systems to the Stability Limit?
Samuel W. Yee, Daniel Tamayo, Samuel Hadden +1
Transit surveys have revealed a significant population of compact multi-planet systems, containing several sub-Neptune-mass planets on close-in, tightly-packed orbits. These system…
Significant improvement in planetary system simulations from statistical averaging
David M. Hernandez, Eric Agol, Matthew J. Holman +1
Symplectic integrators are widely used for the study of planetary dynamics and other -body problems. In a study of the outer Solar system, we demonstrate that individual symplec…
A Bayesian neural network predicts the dissolution of compact planetary systems
Miles Cranmer, Daniel Tamayo, Hanno Rein +5
Despite over three hundred years of effort, no solutions exist for predicting when a general planetary configuration will become unstable. We introduce a deep learning architecture…