Difference between revisions of "Propulsion"

From Marspedia
Jump to: navigation, search
(3 intermediate revisions by the same user not shown)
Line 7: Line 7:
 
This is the equation that links the electrical power, the propulsive force and the ISP.
 
This is the equation that links the electrical power, the propulsive force and the ISP.
  
Pe = F x ISP *9,81 / 2n  or Pe = F x Ev /2n
+
P = F x ISP *9,81 / 2n  or P= F x Ev /2n
  
Pe = electric power (Watts)
+
where:
 +
 
 +
P = power (Watts)
  
 
F = Engine force (Newtons)
 
F = Engine force (Newtons)
Line 15: Line 17:
 
ISP = Specific impulse (Seconds)
 
ISP = Specific impulse (Seconds)
  
n = efficiency of electric engine
+
n = efficiency of engine, for an [[ion thruster]] this is between 0,2 and 0,8, for a [[Propellant|chemical rocket]], or [[Nuclear thermal propulsion|nuclear thermal rocket]], essentially 1.
  
 
9,81 conversion factor
 
9,81 conversion factor
Line 37: Line 39:
 
Ev = Exhaust velocity (m/s)
 
Ev = Exhaust velocity (m/s)
  
===Velocity===
+
===Velocity (Rocket equation)===
V = Ev x ln(Mo/Mf)
+
V = Ev x ln(M<sub>o</sub>/M<sub>f</sub>)
  
 
Ev = Exhaust velocity (m/s)
 
Ev = Exhaust velocity (m/s)
Line 46: Line 48:
 
ln = natural logarithm
 
ln = natural logarithm
  
Mo = Initial mass of the ship (kg)
+
M<sub>o</sub> = Initial mass of the ship (kg)
  
Mf = Final mass of the ship (kg)
+
M<sub>f</sub> = Final mass of the ship (kg)
  
 
The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.
 
The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.

Revision as of 10:39, 9 August 2019


Theory

Propulsion equation

This is the equation that links the electrical power, the propulsive force and the ISP.

P = F x ISP *9,81 / 2n or P= F x Ev /2n

where:

P = power (Watts)

F = Engine force (Newtons)

ISP = Specific impulse (Seconds)

n = efficiency of engine, for an ion thruster this is between 0,2 and 0,8, for a chemical rocket, or nuclear thermal rocket, essentially 1.

9,81 conversion factor

Ev = Exhaust velocity (m/s)

Specific impulse

ISP = Ev / 9,81

ISP = Specific impulse (Seconds)

Ev = Exhaust velocity (m/s)

Fuel consumption

m = F/Ev

m = Fuel consumption (kg/s)

F = Force (Newtons)

Ev = Exhaust velocity (m/s)

Velocity (Rocket equation)

V = Ev x ln(Mo/Mf)

Ev = Exhaust velocity (m/s)

V = ship final velocity (m/s)

ln = natural logarithm

Mo = Initial mass of the ship (kg)

Mf = Final mass of the ship (kg)

The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.