2025/06/30 by David Agmon, Agmon, David, Ady Mann +1
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanics and Biomechanics Studies #Sports Dynamics and Biomechanics
paper · pdf · doi:10.48550/arxiv.2507.00084
openalex publication_date 2025/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper studies brachistochrone trajectories. Four rules are formulated as sufficient conditions. Two rules apply for a general conservative force. Two rules apply for a central force. A central force allows wire replacement. The wire is replaced by appropriate magnetic field. This enables solving motion equations directly. We replace Euler Lagrange with direct integration.