Facets of Brachistochronic Trajectories

David Agmon; Ady Mann

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arXiv · 2507.00084

Facets of Brachistochronic Trajectories

David Agmon·Ady Mann

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Abstract

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.

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David Agmon, Ady Mann. 2025-06-30. Facets of Brachistochronic Trajectories. https://arxiv.org/abs/2507.00084

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