273 citations · 1.4k across the 71 of their papers we have counts for
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Planar Three-Body Problem: theoretical predictions and simulation results
Yogesh Dandekar, Ethan Springer, Shoval Zard +3
We investigate the statistical properties of the non-hierarchical planar three-body problem, relevant to astrophysical systems with nearly planar dynamics, including protoplanetary…
Beyond the Largest Lyapunov Exponent: Entropy-Based Diagnostics of Chaos in Henon-Heiles and N-Body Dynamics
Alessandro Alberto Trani, Pierfrancesco Di Cintio, Michele Ginolfi
The largest Lyapunov exponent is widely used to diagnose chaos in gravitational dynamics, but in mixed phase spaces and finite-N systems it does not always provide a complete descr…
A young progenitor for the most common planetary systems in the Galaxy
John H. Livingston, Erik A. Petigura, Trevor J. David +39
The Galaxy's most common known planetary systems have several Earth-to-Neptune-size planets in compact orbits. At small orbital separations, larger planets are less common than the…
Combining REBOUND and MESA: Dynamical Evolution of Planets Orbiting Interacting Binaries
Zepei Xing, Santiago Torres, Ylva Götberg +3
Although planets have been found orbiting binary systems, whether they can survive binary interactions is debated. While the tightest-orbit binaries should host the most dynamicall…
Isles of regularity in a sea of chaos amid the gravitational three-body problem
Alessandro Alberto Trani, Nathan W. C. Leigh, Tjarda C. N. Boekholt +1
The three-body problem (3BP) poses a longstanding challenge in physics and celestial mechanics. Despite the impossibility of obtaining general analytical solutions, statistical the…
Extreme eccentricities of triple systems: Analytic results
Abhi Mangipudi, Evgeni Grishin, Alessandro A. Trani +1
Triple stars and compact objects are ubiquitously observed in nature. Their long-term evolution is complex; in particular, the von-Zeipel-Lidov-Kozai (ZLK) mechanism can potentiall…