Safe domain and elementary geometry

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dc.creatorRichard, J. -M.
dc.date2004-10-06
dc.date.accessioned2026-07-07T05:52:48Z
dc.date.available2026-07-07T05:52:48Z
dc.descriptionA classical problem of mechanics involves a projectile fired from a given point with a given velocity whose direction is varied. This results in a family of trajectories whose envelope defines the border of a 'safe' domain. In the simple cases of a constant force, harmonic potential and Kepler or Coulomb motion, the trajectories are conic curves whose envelope in a plane is another conic section which can be derived either by simple calculus or by geometrical considerations. The case of harmonic forces reveals a subtle property of the maximal sum of distances within an ellipse.
dc.descriptionAlso available from http://democrite.in2p3.fr/democrite-00023173
dc.identifierhttps://arxiv.org/abs/physics/0410034
dc.identifierhttp://arxiv.org/abs/physics/0410034
dc.identifierEuropean Journal of Physics 25 (2004) 835-844
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86442
dc.subjectPhysics Education
dc.subjectClassical Physics
dc.titleSafe domain and elementary geometry
dc.typetext

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