Simulated frictionless tra jectories. A variety of trajectories simulated from equations (1) and (2) for parameter choices µ = 0, r₀ = 30 cm, M_A = 0.32 kg, and simulation time t = 9 s. Despite the classical nature of the mass-string problem, simulated trajectories resemble astrophysical orbits with small-orbital-radius revolutions separating apoapsides, n-fold symmetries, and apsidal precession.