APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS

Descripción del Articulo

In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for this an appropriate direction is obtained.
Detalles Bibliográficos
Autores: Rubio, Franco, León, Ronald
Formato: artículo
Fecha de Publicación:2016
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/1258
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258
Nivel de acceso:acceso abierto
Materia:Intrinsec distance
geodesic distance
geodesics
sphere
initial value problem
approximation
Distancia intrínseca
distancia geodésica
geodésicas
esfera
problema de valor inicial
aproximación
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spelling APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICSAPROXIMACIÓN DE LA DISTANCIA EN LA ESFERA A TRAVÉS DE LA SOLUCIÓN NUMÉRICA DE UN PROBLEMA DE VALOR INICIAL ASOCIADO A GEODÉSICASRubio, FrancoLeón, RonaldIntrinsec distancegeodesic distancegeodesicssphereinitial value problemapproximationDistancia intrínsecadistancia geodésicageodésicasesferaproblema de valor inicialaproximaciónIn this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for this an appropriate direction is obtained.En este artículo, se plantea un algoritmo para aproximar la distancia Geodésica entre los puntos p y q de la esfera, mediante la solución numérica de un problema de valor inicial asociado al sistema de ecuaciones diferenciales ordinarias de las geodésicas; para lo cual se determina una dirección apropiada.National University of Trujillo - Academic Department of Mathematics2016-12-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258Selecciones Matemáticas; Vol. 3 No. 02 (2016): August - December; 113-123Selecciones Matemáticas; Vol. 3 Núm. 02 (2016): Agosto - Diciembre; 113-123Selecciones Matemáticas; v. 3 n. 02 (2016): Agosto - Diciembre; 113-1232411-178310.17268/ssmm.v3i02reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258/1168Derechos de autor 2017 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/12582022-10-21T18:55:03Z
dc.title.none.fl_str_mv APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
APROXIMACIÓN DE LA DISTANCIA EN LA ESFERA A TRAVÉS DE LA SOLUCIÓN NUMÉRICA DE UN PROBLEMA DE VALOR INICIAL ASOCIADO A GEODÉSICAS
title APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
spellingShingle APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
Rubio, Franco
Intrinsec distance
geodesic distance
geodesics
sphere
initial value problem
approximation
Distancia intrínseca
distancia geodésica
geodésicas
esfera
problema de valor inicial
aproximación
title_short APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
title_full APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
title_fullStr APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
title_full_unstemmed APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
title_sort APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
dc.creator.none.fl_str_mv Rubio, Franco
León, Ronald
author Rubio, Franco
author_facet Rubio, Franco
León, Ronald
author_role author
author2 León, Ronald
author2_role author
dc.subject.none.fl_str_mv Intrinsec distance
geodesic distance
geodesics
sphere
initial value problem
approximation
Distancia intrínseca
distancia geodésica
geodésicas
esfera
problema de valor inicial
aproximación
topic Intrinsec distance
geodesic distance
geodesics
sphere
initial value problem
approximation
Distancia intrínseca
distancia geodésica
geodésicas
esfera
problema de valor inicial
aproximación
description In this paper, we proposes an algorithm to approximate the Geodesic distance between points p and q of sphere, through the numerical solution of initial value problem associated with the system of ordinary differential equations of the geodesics; for this an appropriate direction is obtained.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/1258/1168
dc.rights.none.fl_str_mv Derechos de autor 2017 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2017 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 3 No. 02 (2016): August - December; 113-123
Selecciones Matemáticas; Vol. 3 Núm. 02 (2016): Agosto - Diciembre; 113-123
Selecciones Matemáticas; v. 3 n. 02 (2016): Agosto - Diciembre; 113-123
2411-1783
10.17268/ssmm.v3i02
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1847155310177812480
score 13.42111
APPROXIMATION OF THE DISTANCE IN THE SPHERE THROUGH OF THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEM ASSOCIATED TO GEODESICS
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