Difference between revisions of "Cheat sheet"
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*If ratio is less than 1, you will not lift off the ground. | *If ratio is less than 1, you will not lift off the ground. | ||
| + | Equation: | ||
| + | '''TWR = F / (m * g) > 1''' | ||
| + | |||
| + | Explained: | ||
TWR = Force of Thrust / ( Total Mass X gravity of planet you're on ) > 1 | TWR = Force of Thrust / ( Total Mass X gravity of planet you're on ) > 1 | ||
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Example: | Example: | ||
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*When Isp is different for engines in a single stage, then use the following equation: | *When Isp is different for engines in a single stage, then use the following equation: | ||
| + | Equation: | ||
'''Isp = ( F1 + F2 + ... ) / ( ( F1 / Isp1 ) + ( F2 / Isp2 ) + ... )''' | '''Isp = ( F1 + F2 + ... ) / ( ( F1 / Isp1 ) + ( F2 / Isp2 ) + ... )''' | ||
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*Use this equation to figure out the dV per stage: | *Use this equation to figure out the dV per stage: | ||
| + | Equation: | ||
| + | '''dV = ln ( Mstart / Mend ) * Isp * g''' | ||
| + | |||
| + | Explained: | ||
dV = ln ( Starting Mass / Ending Mass ) X Isp X gravity of planet you're on | dV = ln ( Starting Mass / Ending Mass ) X Isp X gravity of planet you're on | ||
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Example: | Example: | ||
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How to calculate the dV of a rocket stage that transitions from Kerbin atmosphere to vacuum. | How to calculate the dV of a rocket stage that transitions from Kerbin atmosphere to vacuum. | ||
| + | Equation: | ||
| + | '''TdV = ( ( dVatm - 1000 ) / dVatm ) * dVvac + 1000''' | ||
| + | |||
| + | Explained: | ||
Transitional dV = ( ( Total dV in atmosphere - 1000 m/s2) / Total dV in atmosphere ) X Total dV in vacuum + 1000 | Transitional dV = ( ( Total dV in atmosphere - 1000 m/s2) / Total dV in atmosphere ) X Total dV in vacuum + 1000 | ||
| − | |||
| − | |||
Example: | Example: | ||
*Single Stage with total atmospheric dV of 5000 m/s2, and rated 6000 dV in vacuum. | *Single Stage with total atmospheric dV of 5000 m/s2, and rated 6000 dV in vacuum. | ||
:Transitional dV = ( ( 5000 dVatm - 1000 dV Required to escape Kerbin atmosphere ) / 5000 dVatm ) X 6000 dVvac + 1000 dV Required to escape Kerbin atmosphere = | :Transitional dV = ( ( 5000 dVatm - 1000 dV Required to escape Kerbin atmosphere ) / 5000 dVatm ) X 6000 dVvac + 1000 dV Required to escape Kerbin atmosphere = | ||
Revision as of 00:46, 25 June 2013
Contents
Introduction
Kerbal Space Program's Rocket Scientist Cheat Sheet Delta V Maps and Equations for Your Reference So You Can Get From Here to There and Back Again.
Delta V Maps
Various maps developed by KSP fans.
- dV Total Values
- dV Change Values
Thrust to Weight Ratio (TWR)
- This is Newton's Second Law.
- If ratio is less than 1, you will not lift off the ground.
Equation: TWR = F / (m * g) > 1
Explained: TWR = Force of Thrust / ( Total Mass X gravity of planet you're on ) > 1
Example:
- 200 Newton rocket engine on a 15 ton rocket launching from Kerbin Space Center.
- TWR = 200 Newtons / ( 15 Tons total Mass X 9.86 m/s2 ) = 1.36 which is > 1 which means liftoff!
Combined Specific Impulse (Isp)
- When Isp is the same for all engines in a stage, then the Isp is equal to a single engine. So six 200 Isp engines still yields only 200 Isp.
- When Isp is different for engines in a single stage, then use the following equation:
Equation: Isp = ( F1 + F2 + ... ) / ( ( F1 / Isp1 ) + ( F2 / Isp2 ) + ... )
Explained: Isp = ( Force of Thrust of 1st Engine + Force of Thrust of 2nd Engine...and so on... ) / ( ( Force of Thrust of 1st Engine / Isp of 1st Engine ) + ( Force of Thrust of 2nd Engine / Isp of 2nd Engine ) + ...and so on... )
Example:
- Two engines, one rated 200 Newtons and 120 Specific Impulse; another engine rated 50 Newtons and 200 Specific Impulse.
- Isp = (200 Netwons + 50 Newtons) / ( ( 200 Newtons / 120 ) + ( 50 Newtons / 200 ) = 130.89 Specific Impulse
Delta V (dV)
- For atmospheric dV value, use atmospheric thrust values.
- For vacuum dV value, use vacuum thrust values.
- Use this equation to figure out the dV per stage:
Equation: dV = ln ( Mstart / Mend ) * Isp * g
Explained: dV = ln ( Starting Mass / Ending Mass ) X Isp X gravity of planet you're on
Example:
- Single Stage Rocket that weighs 23 tons when full, 15 tons when fuel is emptied, and engine that outputs 120 Isp.
- dV = ln ( 23 Tons / 15 Tons ) X 120 Specific Impulse X 9.86m/s = Total dV of 1803.2 m/s2
Transitional Delta V (dV) aka True dV when launching from Kerbin
How to calculate the dV of a rocket stage that transitions from Kerbin atmosphere to vacuum.
Equation: TdV = ( ( dVatm - 1000 ) / dVatm ) * dVvac + 1000
Explained: Transitional dV = ( ( Total dV in atmosphere - 1000 m/s2) / Total dV in atmosphere ) X Total dV in vacuum + 1000
Example:
- Single Stage with total atmospheric dV of 5000 m/s2, and rated 6000 dV in vacuum.
- Transitional dV = ( ( 5000 dVatm - 1000 dV Required to escape Kerbin atmosphere ) / 5000 dVatm ) X 6000 dVvac + 1000 dV Required to escape Kerbin atmosphere =
