Vc versus Vcc. Meteor Calculations

[solarblast]

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>

 

[solarblast]

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. V_c falls out easily. Duh.