ISP
Specific Impulse
Sticking with the car theme, ISP is simply how fuel efficient an engine is. In car terms, that’s distance/fuel (miles per gallon for example). In space, that doesn't work because theoretically once you're in deep space with no forces acting on you, then you will continue in motion forever at a constant speed covering all the distance in the universe for free. (I know technically that’s the same for a car but you have drivetrain resistance, rolling resistance, drag etc. all acting on the car, trying to slow it, thus you need to keep applying fuel to maintain a speed).
ISP is essentially a measure of how much of fuel quantity it takes to produce an amount of thrust. The less fuel an engine burns to achieve a
specific impulse, the more efficient it is.
Now, 2 things about ISP
- It's measured in seconds
- It does take gravity into account.
Why seconds, and not lbs, kg, N or whatever? Because NASA, when they were working all this stuff out, was a mix of 'borrowed' German scientists and Americans. One side (Zee Germans) wanted to use Metric. The Americans wanted to use Imperial. After what I'd like to assume was a good natured fight involving a lot of spanners and slide rules, they decided on a unit of measurement everyone knew, but wasn’t in either system. Seconds.
And with gravity, you use Earths gravity 9.8 regardless of where you are. Why? Because its used as a constant, a benchmark for comparison. It allows you to compare an ISP of say a Rocketdyne F1 Engine with a titan without worrying if someone has used...Mars...as a constant for the titan.
How to work out ISP then. Easy, the information pops up when you select an engine will tell you its ISP. And as long as you only use that engine,
regardless of how many, the rockets ISP will be that number.
Things get complicated when you're using engine combinations, or boosters with different engines. Even though each engine is using is own ISP, when it comes to working out the Delta V (coming soon...) of that rocket, you need a combined ISP of the engines that are being used at the time.
There are 2 ways of doing this.
Hard Way:
- you need the exhaust velocity of an engine. To work this out, you multiply thrust by fuel consumption.
- Then, you multiply that, by g (9.8) to get an individual engine ISP
- Do that for all engines
- Now, for each individual engine, divide its force by its own ISP. Do this for all of the engines and add the totals together. Then take the combined total of all the thrust your engines create and divide that by the all the totals you've just worked out.
Or
Easy Way.
- Add up the combined thrust of your engines
- Add up the combined fuel consumption of your engines.
- Take your gravitational constant (9.8) and multiply it by your total consumption.
- Finally, take your combined thrust and divide it by the answer you just got.
- BOOM. ISP Baby.