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physics.class-ph2024★ 1 cited
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…
physics.class-ph2024
The ZK Spiral Family of Trajectories and Forces
Joseph West
Particle trajectories in the form of a logarithmic spiral with specified angular time dependence, "ZK spirals," are shown to be analytic solutions for motion in non-central, but si…