Changes between Version 16 and Version 17 of u/erica/d


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Timestamp:
12/14/15 15:07:44 (9 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/d

    v16 v17  
    52528. we take the ram pressure of the ejecta to be the incoming ram pressure. this is a reasonable approximation as the shocked sound speed should be of order the incoming velocity.
    53539. we consider the ring to be formed from a spherical distribution of field lines centered on the collision region. thus, the radius of curvature is just r, and the magnetic pressure gradient is along r, but perpendicular to the field directly above the collision region.
    54 10.  we ignore gravity out in the ambient.
     5410.  we ignore gravity out in the ambient since the freefall time for gas at those densities is much larger than the time it takes to form the ring -- this is a good approximation.
    5555
    5656This gives the following momentum equation for the ring (i.e. for [[latex($r_i < r < r_o$)]]):