wiki:u/johannjc/scratchpad23

Version 1 (modified by Jonathan, 8 years ago) ( diff )

Parker Spiral

The parker spiral defined in 1958 paper gives the following velocity field in the corotating frame (for regions outside of b) - which he says is the result of a spherical wind - but transformed into the rotating frame.

This assumes that the velocity is primarily radial out to and that the radial acceleration is negligible beyond .

However, in our HD209458b simulation we used

Then one just needs to use

and

to solve for the steady state magnetic field. We can write to satisfy the first constraint, and then the divergence in spherical coords to get

which has nearly the same dependence as in the Parker Spiral - although it takes into account the actual parker velocity.

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