2 papers
astro-ph.GA2013
Galactic Spiral Arms: Structure and Dynamics Given by an Equation of Motion
Gregory Buck
Using an equation of motion for a self-gravitating filament, we show how galactic spiral arms might be created and sustained. We find that the combination of differential rotation…
math.GT2003
Total Curvature and Packing of Knots
Gregory Buck, Jonathan Simon
We establish a new fundamental relationship between total curvature of knots and crossing number. If K is a smooth knot in 3-space, R the cross-section radius of a uniform tube nei…