How to Integrate the Maxwell Speed Distribution for Argon on Mars?

AI Thread Summary
The discussion focuses on integrating the Maxwell speed distribution for argon on Mars to calculate the fraction of argon present. The user is seeking guidance on evaluating a definite integral, specifically between the ranges of 0 to 5,000 m/s and 5,000 m/s to infinity. Suggestions include using tabulated values for the error function and numerical integration methods, such as Wolfram Alpha or the trapezoidal rule in Origin 8.5. The latter method was successfully applied to achieve a rough solution with 50,000 intervals. Overall, the conversation emphasizes practical approaches to solving the integral for argon distribution on Mars.
b.hessen
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halo, I´m stuck in an definite integral...

P(v)=4π (M2πRT)3/2⋅v2⋅e−Mv2nRT (maxwell speed distribution)

How can I calculate the fraction of Ar in mars?

pd. I got already the scape velocity

But... How can I intregrate and evaluate between (0, 5XE3 m/s) or (5XE3 m/s, infinite) ??

Is there any tables for evaluate this??

thanks
 
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You can at least find tabulated values for the error function, erf(x) = 0x dx' exp(-x'^2). It might be easier just to plug in the numbers and integrate numerically, for example by using wolfram alpha.
 
thanks...
I calculated in Origin 8.5 (five minutes) trapezoids area... 50 000 intervals... It work as well and "rough" solution, good for giving a fast solution.
 
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