Simulación en tres dimensiones del problema de N cuerpos

• Autores: Jesús Francisco Palacián Subiela, Carmen Peña
• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 28, 2006 (Ejemplar dedicado a: Actas de las VIII Jornadas de Mecánica Celeste / coord. por Antonio Elipe Sánchez, J. A. Docobo Durántez), págs. 9-21
• Idioma: español
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We present a set of routines developed with MATLAB to simulate the motion of N bodies subject to Newtonian interaction in the three-dimensional space. The software allows to choose among several kinds of numerical integrators, say various Runge-Kutta methods and linear multistep algorithms, some of them of symplectic character. Initial conditions are introduced either in cartesian coordinates or in orbital elements. The program detects collision events. Simulation is accomplished in real-time using the common visualization packages of MATLAB. We can change the point of view and project the motion in ttree coordinate planes. The integrals of the motion are checked at each step of the integration. Several examples of the solar system, choreographies of the N body problem and other peculair motions of planar and spatial problems are shown. Thiis work is part of the Master Thesis Project of M.C. Peña.