Tsiolkovsky rocket equation | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-17

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation


00:03:17 1 History
00:04:15 2 Derivation
00:04:24 2.1 Most popular derivation
00:15:57 2.2 Special relativity
00:21:14 2.3 Other derivations
00:21:23 2.3.1 Impulse-based
00:25:07 2.3.2 Acceleration-based
00:29:37 3 Terms of the equation
00:29:46 3.1 Delta-iv/i
00:30:59 3.2 Mass fraction
00:31:48 3.3 Effective exhaust velocity
00:33:21 4 Applicability
00:35:45 5 Examples
00:38:44 6 Stages
00:39:17 7 Common misconceptions
00:42:31 8 See also
00:44:14 9 References



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SUMMARY
=======
The Tsiolkovsky rocket equation, classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity can thereby move due to the conservation of momentum.
The equation relates the delta-v (the maximum change of velocity of the rocket if no other external forces act) with the effective exhaust velocity and the initial and final mass of a rocket, or other reaction engine.
For any such maneuver (or journey involving a sequence of such maneuvers):

  
    
      
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    {\displaystyle \Delta v=v_{\text{e}}\ln {\frac {m_{0}}{m_{f}}}=I_{\text{sp}}g_{0}\ln {\frac {m_{0}}{m_{f}}}}
  where:

  
    
      
        Δ
        v
         
      
    
    {\displaystyle \Delta v\ }
   is delta-v – the maximum change of velocity of the vehicle (with no external forces acting).

  
    
      
        
          m
          
            0
          
        
      
    
    {\displaystyle m_{0}}
   is the initial total mass, including propellant, also known as wet mass.

  
    
      
        
          m
          
            f
          
        
      
    
    {\displaystyle m_{f}}
   is the final total mass without propellant, also known as dry mass.

  
    
      
        
          v
          
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    {\displaystyle v_{\text{e}}=I_{\text{sp}}g_{0}}
   is the effective exhaust velocity, where:

  
    
      
        
          I
          
            sp
          
        
      
    
    {\displaystyle I_{\text{sp}}}
   is the specific impulse in dimension of time.

  
    
      
        
          g
          
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    {\displaystyle g_{0}}
   is standard gravity.

  
    
      
        ln
      
    
    {\displaystyle \ln }
   is the natural logarithm function.