Calculating the upward and downward plasma speeds

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SUMMARY

This discussion focuses on calculating the upward and downward plasma speeds using the shock jump number (Zs=3) and the shock wave speed (555 km/s) derived from plasma density values (n1=30 cm^-3 and n2=90 cm^-3). The relevant equation provided is u'1/u'2 = B2/B1 = n2/n1 * Zs, where u'1 and u'2 represent the upward and downward speeds, respectively. The expected results are -285 km/s for the upward speed and -95 km/s for the downward speed. The user seeks clarification on the context of the shock wave and the significance of the densities involved.

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Homework Statement


Hi!

I have trouble with calculating the upward and downward plasma speeds. I have the necessary data and an equation that is useful (I think), but I'm stuck.

Homework Equations


The shock jump number Zs=3 in this case , and I've calculated the shock wave speed (555 km/s), which was calculated from the plasma density. The densities are n1=30 cm^-3 and n2=90 cm^-3 if you want to know.
And now, I need the upstream and downstream plasma speeds.

The Attempt at a Solution


I know that one equation that can be used is:
u'1/u'2==B2/B1=n2/n1Zs

Here, u'1 is the upward speed and u'2 the downward.
But this doesn't give me any solutions because we have two unknowns .I know that the answers should be -285 km/s and -95 km/s respectively.

I have data for the magnetic fields and proton temperatures. Can someone please help me?
 
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Could you add some context? This thread is literally the only google hit where "shock jump number" is used as an expression. What is that?

Shock wave of what, and how did you calculate its speed? What do the two different densities represent?
 

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