I'm theoretically trying to launch a rocket for a school project and therefore I chose Saturn V. I took its weight of 140.000kg (308 647 pounds) and I'm trying to calculate how much fuel it'd take to launch it at two different locations, one on the equator and the other one at the poles.
The gravity acceleration I've already calculated (Equator: $9,797 m/s^2$; Poles: $9,863m/s^2$) as well as the distance, which is $1,414213*10^7$ meters.
Now I'm stuck, for I don't know how to involve the gravitational force declination in my calculation.
I'd like to calculate how many joules (J) are needed to launch a rocket to a height of $1,414213*10^7$ meters.
At first I did that with the formula F_{res}=g$*m$, but that doesn't involve the declination of gravitational force.
As for air resistance, I'd like to calculate that as well, but I think I'll manage on my own.
What formulas or rules of thumb should I use?