Planetary Motion and the Duality of Force Laws

Trajectories of Hooke's law in the complex plane, which are conic sections, are mapped onto trajectories of Newton's law of gravitation via the transformation z → z<sup>2</sup>. Newton's law of ellipses (objects attracted to a center by a force inversely proportional to th...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:SIAM Review. - Society for Industrial and Applied Mathematics, 1959. - 42(2000), 1, Seite 115-124
1. Verfasser: Hall, Rachel W. (VerfasserIn)
Weitere Verfasser: Josic, Kresimir
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:SIAM Review
Schlagworte:Two-Body Problem Functions of a Complex Variable Geometric Function Theory S0036144598346005 Physical sciences Philosophy Mathematics