- #1
Sojourner01
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Homework Statement
Derive the radiative timescale for an atmosphere:
[tex]
\tau_{E} = \frac{c_{p} p_{0}}{4 g \sigma T^{3}_{E}}
[/tex]
Homework Equations
As above
The Attempt at a Solution
I've gathered that the difference between the radiative power of an object,
[tex]
\sigma (T + \Delta T)^{4}
[/tex]
And the incoming solar flux on the object, [tex](1 - \sigma) S[/tex], is equal to an instantaneous rate of change of heat, [tex]\frac{dQ}{dt}[/tex]. I don't know how to proceed from here; my derivation of the answer doesn't appear to conform to the one above.
edit: oh for crying out loud, I hate TeX. It never does what I want it to, and I have the 'how to program tex' thread open here in front of me. You can see what I was trying to achieve.
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