Changes between Version 15 and Version 16 of u/adebrech

Timestamp:

07/06/16 11:50:01 (9 years ago)

Author:

adebrech

Comment:

—

u/adebrech

@@ -6 +6 @@
 = [[adebrech/Papers|Planet Papers]] =
 
+= [[adebrech/Matlab|Calculations]] =
+
 = Fluid Approximation of Charge Exchange =
 In [http://iopscience.iop.org/article/10.3847/0004-637X/820/1/3/pdf Christie et al.], they calculate the mean free path (sound speed over rate of reaction) for charge exchange and note that it is less than the planetary radius (in regions dominated by the planetary wind) to justify using the fluid approximation, with mixing and exchange primarily at turbulent boundaries. This carries an assumption that the hot and cold hydrogen have the same temperature, but changing the temp only changes the mean free path by a factor of sqrt(2) at most. In [http://iopscience.iop.org/article/10.1088/0004-637X/693/1/23/pdf Murray-Clay et al.], they justify the fluid approximation in general by comparing the scale height H to the mean free path of a particle, with the fluid approximation holding for H > lambda,,mfp,, at the sonic point (in other words, when the exobase is above the sonic point).
 
 [[Image(ChristieChrgExch.png, width=400)]]
-
-= Change in Bow Shock with Magnetic Field =
-If sigma,,*,, and sigma,,p,, are equal, the bow shock radius is unchanged with or without magnetic field - ratio of radius to orbital separation, chi,,bow,, = 0.240468. With sigma,,*,, = 1, sigma,,p,, = 0.1, chi,,bow,, = 0.148204; sigma,,*,, = 0.5, sigma,,p,, = 0.1, chi,,bow,, = 0.187300; sigma,,*,, = 0.1, sigma,,p,, = 0.5, chi,,bow,, = 0.302483; sigma,,*,, = 0.1, sigma,,p,, = 1, chi,,bow,, = 0.363674; and with sigma,,*,, = 0.5 and sigma,,p,, = 1, chi,,bow,, = 0.297793 ≈ chi,,Coriolis,,.