# Specific impulse

Specific impulse (often shortened to Isp) is a way to describe how well a rocket performs. It is also used to describe how well a jet engine performs. It can be used to compare rockets of different sizes. It is a way to know how much force a given engine makes for each bit of fuel.[1] To do this, one needs to know how much fuel is in the engine.[2] A high specific impulse means that a rocket needs less fuel to perform as well. If the specific impulse is lower, it means that the rocket needs more fuel to perform as well.

Specific impulse is a useful value to compare rocket or jet engines. It is used much like miles per gallon or litres per 100 kilometres is used to compare cars. An engine with a higher specific impulse uses fuel better. This means that the same amount of fuel lets the rocket go faster after all fuel is depleted.[1]

A rocket engine with a higher specific impulse doesn't mean it's 'more powerful'. That is, it will not make the rocket accelerate harder. In fact, the designs for engines with the highest specific impulse, like ion engines, are the 'weakest' of all types of engines. They accelerate the rocket slowly but steadily over a long period of time using only a tiny amount of fuel. In a race between two rockets with the same amount of fuel and two different engines the one with the more powerful engine will take an early lead, but when it burns down all its fuel, the rocket with higher specific impulse will still have some fuel left and will continue to accelerate. Eventually it will overtake its counterpart and will win the race if the distance is big enough for it to use its long-term advantage.

## Measurements

There are two ways people find the number for specific impulse. To find the specific impulse, one divides the impulse by the amount of fuel. Impulse is a measurement of how much force a rocket motor makes and for how long. A motor that makes a low force for a long time can sometimes have a higher impulse than a motor that makes a high force for a short time. Impulse is measured in Newtons times seconds (N*s).

The amount of fuel used to find specific impulse can be measured in different ways. It is sometimes measured in mass and sometimes in weight. When the amount of fuel is measured in mass, the specific impulse is expressed as a speed. This is usually in meters per second. When specific impulse is measured as a speed, it has another name. It is also called the effective exhaust velocity. The other way to measure the amount of fuel is weight. If weight is used, the specific impulse is in units of time, usually in seconds. These two ways are both common. They both compare the performance of engines.

When the specific impulse is higher, less fuel is needed to make the rocket perform at a certain level. So, a fuel is more efficient if the specific impulse is higher.[3]

Be careful not to confuse thrust and specific impulse. Thrust is only the force made by a rocket at one point in time. Specific impulse is a measure of the force based on how much fuel there is.[4]

When people find specific impulse, the only fuel counted is in the rocket before it gets fired. This includes the fuel and the oxidizer (the part of the fuel that helps the fuel burn). The oxidizer is sometimes oxygen, or often something else (see Rocket engine#Liquids, solids and hybrids).

## Examples

Specific impulse of different ways to push a rocket
Engine Effective exhaust velocity
(m/s, kg·m/s/kg)
Specific impulse
(s)
Energy per kg of exhaust
(MJ/kg)
Turbofan jet engine
(actual V is ~300)
29,000 3,000 ~0.05
Solid fuel rocket 2,500 250 3
Liquid fuel rocket 4,400 450 9.7
Ion thruster 29,000 3,000 430
Dual Stage Four Grid Electrostatic Ion Thruster [5] 210,000 21,400 22,500
VASIMR [6][7][8] 30,000-120,000 3,000-12,000 1,400

Jet (airplane) engines use fuel better than rocket engines. This is because the gases do not escape as fast. Because they do not escape as fast, the exhaust does not carry away as much energy. This means that the jet engine uses a lot less energy to push the jet. It is also because the air that goes through the engine as the jet flies through the air helps the fuel to burn faster.[9]

### Model rocketry

Specific impulse is also used to describe how well model rocket motors work. In the table below are some of Estes' claimed values for specific impulses for several of their rocket motors:[10] Estes Industries is a large, well known American seller of model rockets and rocket parts. The specific impulse for model rocket motors is much lower than for many other rocket motors because the black powder is used as a fuel. Black powder is used in model rocket motors because it costs less.

Specific impulses for several Estes rocket motors.
Engine Total Impulse (Ns) Fuel Weight (N) Specific Impulse (s)
Estes A10-3T 2.5 .0370 67.49
Estes A8-3 2.5 .0306 81.76
Estes B4-2 5.0 .0816 61.25
Estes B6-4 5.0 .0612 81.76
Estes C6-3 10 .1223 81.76
Estes C11-5 10 .1078 92.76
Estes D12-3 20 .2443 81.86
Estes E9-6 30 .3508 85.51

### Larger Rocket Engines

Here are some example numbers for larger rocket engines:

Specific impulse and effective exhaust velocity numbers for a few larger rocket engines.
Engine type Example Use Specific impulse (s) Effective exhaust velocity (m/s)
NK-33 rocket engine Vacuum 331[11] 3,240
SSME rocket engine Space shuttle vacuum 453[12] 4,423
Ramjet Mach 1 800 7,877
J-58 turbojet SR-71 at Mach 3.2 (Wet) 1,900 18,587
Rolls-Royce/Snecma Olympus 593 Concorde Mach 2 cruise (Dry) 3,012 29,553
CF6-80C2B1F turbofan Boeing 747-400 cruise 5,950 58,400
General Electric CF6 turbofan Sea level 11,700 115,000

## Units

English and SI (Metric system) units for various rocket motor performance measurements.

Specific Impulse
(by weight)

Specific Impulse
(by mass)

Effective exhaust velocity
Specific fuel consumption
SI =X seconds =9.8066 X N•s/kg =9.8066 X m/s =(101,972/X) g/kN•s
English units =X seconds =X lbf•s/lb =32.16 X ft/s =(3,600/X) lb/lbf•h

The most common way to measure specific impulse today uses seconds. This is used both in the SI (metric system) world as well as where English units are used. This way the units are identical everywhere. This means specific impulse can be used to compare engine performance in any country. Most companies that make rocket motors or jet engines use seconds to advertise their product’s performance.[13]

The other common way to measure specific impulse is in meters per second (m/s), which is also called effective exhaust velocity. For many engines the effective exhaust velocity is different from the speed that the gases actually come out of the nozzle.[14]

## References

1. "What is specific impulse?". Qualitative Reasoning Group. Retrieved 22 December 2009.
2. Benson, Tom (11 July 2008). "Specific impulse". NASA. Archived from the original on 24 January 2010. Retrieved 22 December 2009.
3. "Laser-powered Interstellar Probe (Presentation)". Archived from the original on 2013-10-02. Retrieved 2011-09-08.
4. "Mission Overview". exploreMarsnow. Retrieved 23 December 2009.
5. "kernel (1)". www.esa.int. Archived from the original on December 8, 2022. Retrieved Mar 3, 2023.
6. "Principal VASIMR Results and Present Objectives" (PDF). Archived from the original (PDF) on 2017-08-09. Retrieved 2011-09-04. `{{cite web}}`: `|archive-date=` / `|archive-url=` timestamp mismatch; 2007-01-09 suggested (help)
7. "VASIMRR Performance Results" (PDF). Archived from the original (PDF) on 2020-08-07. Retrieved 2011-09-04.
8. "Vasimr VX-200 meets full power efficiency milestone". Archived from the original on 2017-03-30. Retrieved 2011-09-04.
9. "dunnspace.com - Informationen zum Thema dunnspace". www.dunnspace.com.
10. Estes 2011 Catalog www.acsupplyco.com/estes/estes_cat_2011.pdf
11. Astronautix NK33
12. Astronautix SSME
13. "Specific Impulse". www.grc.nasa.gov.
14. "What is specific impulse?". www.qrg.northwestern.edu.