Tootfinder

This https://arxiv.org/abs/2401.05267 has been replaced.
initial toot: https://mastoxiv.page/@a…

The ZK Spiral Family of Trajectories and Forces
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 simple force power-laws. Each ZK spiral is a particular solution to a single associated force law. The position and velocity are determined as analytic functions of time in terms of the growth parameter, specified power law, and the initial conditions. Four examples, each for a different force law and relevant to the ad…

This https://arxiv.org/abs/2401.05267 has been replaced.
initial toot: https://mastoxiv.page/@a…

The ZK Spiral Family of Trajectories and Forces
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 simple force power-laws. Each ZK spiral is a particular solution to a single associated force law. The position and velocity are determined as analytic functions of time in terms of the growth parameter, specified power law, and the initial conditions. Four examples, each for a different force law and relevant to the ad…