Vc versus Vcc. Meteor Calculations

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solarblast
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I tried posing my question by using some Latex features here, but I could work faster by using Word coupled with what I could use from Latex here. When I tried putting the material here from Word, it didn't work out, so I'm attaching a pdf of my question. The reference to IMO is the International Meteor Organization. The article is at <http://www.asterism.org/tutorials/tut36%20Meteor%20Showers.pdf>
 

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Well, this was almost ridiculously easy. Just too long away from mathematics. Substitute the first equation into the second. Everything in the first equations is known. Vc falls out easily. Duh.