Motion of a mass of air around Earth.

Ascendant78
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Homework Statement



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Homework Equations



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The Attempt at a Solution



For starters, I am a bit confused about how to work on this problem considering the only relevant equations given for this problem (in the chapter we are currently in) are the two equations for Fr and Fφ for a 2-D polar coordinate system. I'm not sure if I should assume there are no other forces and as such use these two as a general solution, but if I do so, I am at a loss as to how to go about addressing c)?
 
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How did you address a and b?
 
I figured it out. Thank you for asking though. The coordinates our professor wanted us to use weren't even in that section. Apparently, this is something he only covered during office hours and forgot to mention in class. Gotta love physics professors, lol.
 
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
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