Safe domain for projectile trajectories in a medium with quadratic drag force

In this paper we provide an expression for the border of the safe domain associated with projectile trajectories in a medium with a quadratic drag force. The curve defining the safe domain is given in parametric coordinates involving some integrals. These integrals have to be evaluated numerically a...

Descripción completa

Detalles Bibliográficos
Autores: Arenas, A. [0000-0002-0854-0138], Ciaurri, Ó. [0000-0002-1695-3311]
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc687fb750603269e80a17
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc687fb750603269e80a17
Access Level:acceso abierto
Palabra clave:envelope
projectile motion
quadratic drag force
Safe domain
Descripción
Sumario:In this paper we provide an expression for the border of the safe domain associated with projectile trajectories in a medium with a quadratic drag force. The curve defining the safe domain is given in parametric coordinates involving some integrals. These integrals have to be evaluated numerically after solving an integral equation. We show that not all the trajectories are necessary to obtain the safe domain. © The Author(s) 2014.