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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.00084 |
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| _version_ | 1866909668094246912 |
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| author | Agmon, David Mann, Ady |
| author_facet | Agmon, David Mann, Ady |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Facets of Brachistochronic Trajectories Agmon, David Mann, Ady Classical Physics Mathematical Physics 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. |
| title | Facets of Brachistochronic Trajectories |
| topic | Classical Physics Mathematical Physics |
| url | https://arxiv.org/abs/2507.00084 |