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12 papers · 1 filter
Secular Dynamics of Compact Three-Planet Systems
Qing Yang, Daniel Tamayo
The secular Laplace-Lagrange orbital solution, decomposing eccentricities into a set of uniformly precessing eigenmodes is a classical result that is typically solved numerically.…
Interval and -interval Rational Parking Functions
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…
To Give or Not To Give: Pandemic Vaccine Donation Policy
Abraham Holleran, Susan E. Martonosi, Michael Veatch
The global SARS-CoV-2 (COVID-19) pandemic highlighted the challenge of equitable vaccine distribution between high- and low-income countries. Many high-income countries were reluct…
Viscoelastic materials are most energy efficient when loaded and unloaded at equal rates
Lucien Tsai, Paco Navarro, Siqi Wu +6
Biological springs can be used in nature for energy conservation and ultra-fast motion. The loading and unloading rates of elastic materials can play an important role in determini…
WHFast512: A symplectic N-body integrator for planetary systems optimized with AVX512 instructions
Pejvak Javaheri, Hanno Rein, Dan Tamayo
We describe the implementation of the symplectic N-body integrator WHFast512 using Single Instruction Multiple Data (SIMD) parallelism and 512-bit Advanced Vector Extensions (AVX51…
On the Degree of Dynamical Packing in the Kepler Multi-planet Systems
Alysa Obertas, Daniel Tamayo, Norm Murray
Current planet formation theories rely on initially compact orbital configurations undergoing a (possibly extended) phase of giant impacts following the dispersal of the dissipativ…