Abstract
© 2016 Universitá del Salento. We provide a geometrical characterization of the instantaneous rotation centers O (p, t) of a particle in a flow F over time t. Specifically, we will prove that: a) at a specific instant t, the point O (p, t) is the center of curvature at the vertex of the parabola which best fits the path-particle line γ (t) on its Darboux plane at p, and b) over time t, the geometrical locus of O (p, t) is the line of striction of the principal normal surface generated by γ (t).
Original language | English |
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Pages (from-to) | 37-47 |
Journal | Note di Matematica |
Volume | 36 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2016 |
Keywords
- Geometry of flows
- Structure of flows