If initially is nonzero but 0 } }, while and are arbitrary, then the initial velocity of the particle has no radial component, is constant, so the motion will be in a perfect helix.
32.
The radial component of the velocity will be zero; this must be true if we are to use the annular ring approach; to assume otherwise would suggest interference between annular rings at some point downstream.
33.
To derive this, Moore and Saffman solved the linearised Navier-Stokes Equation along in cylindrical coordinates, where some of the vertical and radial components of the viscous term are taken to be small relative to the Coriolis term:
34.
If " B " is a circle, then these eigenfunctions have an angular component that is a trigonometric function of the polar angle ?, multiplied by a Bessel function ( of integer order ) of the radial component.
35.
Where particles are assumed to have mass " m " and charge " q ", " r " is radial distance from the trap axis and " E r " is the radial component of the electric field.
36.
It may change the magnitude and / or direction of the angular momentum vector, depending on the angle between the velocity vector and the non-radial component of the force vector, as viewed in the pivot's frame of reference.
37.
It shows the radial component of the incident electric field, which causes the charged particles at the scattering point to exhibit a radial component of acceleration ( i . e, a component tangent to the plane of observation ).
38.
It shows the radial component of the incident electric field, which causes the charged particles at the scattering point to exhibit a radial component of acceleration ( i . e, a component tangent to the plane of observation ).
39.
It ignores the fact that Faraday's law is defined by the total, not partial, derivative of magnetic flux and also the fact that EMF is not necessarily confined to a closed path but may also have radial components as discussed below.
40.
The electric current in the heliospheric current sheet has a radial component ( directed inward ) as well as an azimuthal component, the radial circuit being closed by outward currents aligned with the Sun's magnetic field in the solar polar regions.
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