75 citations · 397 across the 23 of their papers we have counts for
23 papers
Orbital Networks in the Three-Body Problem
Abdullah Braik, Shane D. Ross
Orbital transfers in multi-body systems are often studied as isolated trajectory design problems, making it difficult to identify the larger transport structure connecting families…
Global phase-space geometry of three-dimensional gliding: terminal velocity manifolds, separatrices, and stability structure
Mohamed Zakaria, Shane D. Ross
We develop a three-dimensional dynamical-systems framework for passive gliding and identify the global phase-space structures that organize its motion. Extending previous two-dimen…
Geometry of transit orbits in the periodically-perturbed restricted three-body problem
Joshua Fitzgerald, Shane Ross
In the circular restricted three-body problem, low energy transit orbits are revealed by linearizing the governing differential equations about the collinear Lagrange points. This…
Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?
Erik M. Bollt, Shane D. Ross
This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis and the global, operator theoretic, Koopman analysis. We explici…
Transition criteria and phase space structures in a three degree of freedom system with dissipation
Jun Zhong, Shane D. Ross
Escape from a potential well through an index-1 saddle can be widely found in some important physical systems. Knowing the criteria and phase space geometry that govern escape even…
Beach-level 24-hour forecasts of Florida red tide-induced respiratory irritation
Shane D. Ross, Jeremie Fish, Klaus Moeltner +3
An accurate forecast of the red tide respiratory irritation level would improve the lives of many people living in areas affected by algal blooms. Using a decades-long database of…