How do you calculate Delta-V

[Titan Space Agency]

I am sorry if someone has already asked this, but can someone give me the formula on how to calculate the delta-v of a stage? I don't want to use kerbal engineer because it would be awesome if I could do it by hand.

[astropapi1]

Are you talking about that thing called... "science"?

[AletzN1]

Well... Youtube! Oh wait theres only 1 video and i didnt even understood that one... Well... Google!

[Cepheus]

What you want to do is take the integral from t0 to t1 (the "start" and "end" of the stage, respectively) of the absolute value of your thrust over your mass. A picture representing this is given.

If you don't have the means to work this out yourself use wolfram alpha. Find how long your burn lasts for that stage, in seconds. Here, let's say it's 30 seconds. Tell wolfram

Integral from 0 to 30 of (abs(YOUR THRUST HERE)/(YOUR MASS HERE))

[HAL9000-2001]

Delta v= Effective exhaust velocity*ln(Initial mass/final mass)

As for the e.e.v. Of ksp engines, you'ld need to multiply ISP by accelaeation due to gravitation on the surface of kerbin in meters per sec... The same as earth in think, 9.8 meters per second per second.

It's complicated, but I hope it helped.

[Dispatcher]

Try http://www.projectrho.com/public_html/rocket/mission.php#deltav

http://www.projectrho.com/public_html/rocket/engines.php#totaldeltav

and

http://www.projectrho.com/public_html/rocket/appmissiontable.php

[Specialist290]

Seconding the above links. Atomic Rockets was my "cheat sheet" when I was experimenting with calculating things by hand back when I started on this game.