3 papers
physics.class-ph2026
N-body Systems with Linear Wind Resistance: Analytic Solutions
Joseph West
The attractive and repulsive linear Hookean form of gravity is known to allow for analytic solutions to N-body systems for arbitrary masses and initial conditions. This linear syst…
physics.class-ph2025
Analytic Harmonic Tunable Closed Orbits of Trapped N-Body Systems
Joseph West
The motion of each particle in an N body system of identical masses interacting via an attractive or repulsive pairwise linear force law, the "Swarm," and with an external attracti…
physics.class-ph2025
N-body linear force law allowing analytic solutions
Joseph West, Sean P. Bartz
We present a pair-wise force law in a system of N particles that produces analytic solutions for arbitrary number of particles, masses, and initial conditions. Each pair of particl…