First of all,(adsbygoogle = window.adsbygoogle || []).push({});

THIS IS NOT HOMEWORK. It's related to my research.

And forgive me if this is rather elementary (sadly, I was something of an underachiever at school, which has left some gaps in my maths education that I've been working on since I returned to education) but I have a question about estimating the fraction of spalled impact ejecta that occupies a given velocity range. I have a reasonable estimate for the total number of particles ejected, and a minimum and maximum velocity (11.2 and 15).

I'm assuming that the ejecta follows a Gaussian distribution, and I'm assuming a variance of 1 and a mean of 13.1.

My question is - how would I actually integrate this, so I can estimate how many particles are travelling between 11.7 and 12.7 km/s?

I've been approaching the problem conceptually like I might with a QM problem, by considering the function as a probability distribution such that the integral between -∞ and +∞ = 1, except in this case it's between 11.2 and 15 as my limits. Does this make sense? How would I then go about integrating between the 11.7 and 12.7 limits? Do I set 11.2 = 0 and 15 = 1 or something?

Again, sorry if this is all very elementary, but some guidance would be appreciated!

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# Estimating the fraction of ejecta travelling between velocity limits

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