MathDB

29

Part of 1991 Arnold's Trivium

Problems(1)

Problem 29

Source:

7/1/2010
A charge moves with velocity 11 in a plane under the action of a strong magnetic field B(x,y)B(x, y) perpendicular to the plane. To which side will the centre of the Larmor neighbourhood drift? Calculate the velocity of this drift (to a first approximation). [Mathematically, this concerns the curves of curvature NBNB as N→+∞N\to + \infty.]