A new twisting somersault - 513XD

(Ein neuer Schraubensalto - 513XD)

We present the mathematical framework of an athlete modelled as a system of coupled rigid bodies to simulate platform and springboard diving. Euler's equations of motion are generalised to non-rigid bodies, and are then used to innovate a new dive sequence that in principle can be performed by real world athletes. We begin by assuming shape changes are instantaneous so that the equations of motion simplify enough to be solved analytically, and then use this insight to present a new dive (513XD) consisting of 1.5 somersaults and 5 twists using realistic shape changes. Finally, we demonstrate the phenomenon of converting pure somersaulting motion into pure twisting motion by using a sequence of impulsive shape changes, which may have applications in other fields such as space aeronautics.
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Schlagworte: Mathematik Modellierung Wasserspringen Physik System Drehung Längenachsendrehung Analyse Theorie dynamisch
Notationen: Naturwissenschaften und Technik technische Sportarten
Veröffentlicht in: arXiv e-prints Abstract Service
Veröffentlicht: 2017
Seiten: 1-25
Dokumentenarten: Artikel
Sprache: Englisch
Level: hoch