Orthogonality in the hyperbolic plane
- Gámez Domingo, Domingo
- Pasadas Fernández, Miguel
- Rafael Pérez
- Palacios Latasa, Manuel Pedro (coord.)
- Trujillo, David (coord.)
- Torrens Iñigo, Juan José (coord.)
- Madaune-Tort, Monique (coord.)
- López de Silanes Busto, María Cruz (coord.)
- Sanz Sáiz, Gerardo (coord.)
Editorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 84-7733-720-9
Año de publicación: 2003
Páginas: 151-159
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (8. 2003. Jaca)
Tipo: Aportación congreso
Resumen
Guidelines for an analytical treatment of the small-amplitude orbital motion of a particle of negligible (infinitesimal) mass about the libration points in the planar elliptic restricted three-body problem (ERTBP) are outlined. Keywords: In this paper three essential construction are considered, construction which involve the orthogonality in the models of Poincaré for the hyperbolic plane: a) Determination of the line orthogonal to another one given through a point of it. b) Determination of the unique orthogonal line to a pair of ultraparallel lines. c) Determination of the line orthogonal to another one given through an outer point. This construction apply to the resolution of many problems of the plane hyperbolic geometry.