Wrong results calculating terminal velocity?

[Kurospidey]

Hi guys. I need help from the scientific "experts" here. The thing is I've been trying to calculate the different terminal velocities through Kerbin's atmosphere according to KSP physics, but my results are off compared to the table that is on the Wiki.

Link to the wiki table: http://wiki.kerbalspaceprogram.com/wiki/Kerbin#Terminal_Velocity_Table

1. Formula for the atmospheric pressure:

where:

• p0 is the atmospheric pressure at sea level (1).
  
• e is the e constant (2,71828183).
  
• a is the ship altitude (will vary).
  
• H is the scale height (5000).
  

2. Formula for the atmospheric density:

where:

• K is a KSP constant (1,2230948554874).
  

3. Formula for the force of drag:

where:

• v is the ship velocity (will vary).
  
• d is the coefficient of drag (0.2).
  
• m is the ship mass (not needed).
  

4. Formula for the force of gravity:

where:

• G is the gravitational constant (6.674E-11).
  
• M is Kerbin mass (5.2915793E+22).
  
• r is Kerbin radius (600000).
  

5. If for terminal velocity: then: that is the same as:

With this last formula I calculate the terminal velocities for different altitudes. My offset grows expotentially as the altitude goes up:

[TABLE=class: grid, width: 500, align: center]

[TR]

[TD]Altitude[/TD]

[TD]Wiki velocity[/TD]

[TD]My velocity[/TD]

[/TR]

[TR]

[TD]75[/TD]

[TD]100.9[/TD]

[TD]100.88[/TD]

[/TR]

[TR]

[TD]1000[/TD]

[TD]110.5[/TD]

[TD]110.66[/TD]

[/TR]

[TR]

[TD]2000[/TD]

[TD]121.9[/TD]

[TD]122.30[/TD]

[/TR]

[TR]

[TD]3000[/TD]

[TD]134.5[/TD]

[TD]135.16[/TD]

[/TR]

[TR]

[TD]4000[/TD]

[TD]148.4[/TD]

[TD]149.37[/TD]

[/TR]

[TR]

[TD]5000[/TD]

[TD]163.7[/TD]

[TD]165.08[/TD]

[/TR]

[TR]

[TD]6000[/TD]

[TD]180.6[/TD]

[TD]182.45[/TD]

[/TR]

[TR]

[TD]7000[/TD]

[TD]199.3[/TD]

[TD]201.63[/TD]

[/TR]

[TR]

[TD]8000[/TD]

[TD]219.9[/TD]

[TD]222.84[/TD]

[/TR]

[TR]

[TD]9000[/TD]

[TD]242.6[/TD]

[TD]246.28[/TD]

[/TR]

[TR]

[TD]10000[/TD]

[TD]267.7[/TD]

[TD]272.18[/TD]

[/TR]

[TR]

[TD]12500[/TD]

[TD]342.4[/TD]

[TD]349.48[/TD]

[/TR]

[TR]

[TD]15000[/TD]

[TD]437.8[/TD]

[TD]448.75[/TD]

[/TR]

[TR]

[TD]20000[/TD]

[TD]716[/TD]

[TD]739.86[/TD]

[/TR]

[TR]

[TD]32000[/TD]

[TD]2332[/TD]

[TD]2456.42[/TD]

[/TR]

[/TABLE]

Any idea as to why is this happening? I've tried rounding all my numers to two decimal places but I'm not getting the same results as the wiki. Do I have anything wrong in my formula? Or maybe I'm calculating it wrong? (I'm using libreoffice calc).

Any help would be appreciated. Thanks for reading.

[QuesoExplosivo]

Is the wiki not taking into account the reduction in the force of gravity with altitude?

[Kurospidey]

Is the wiki not taking into account the reduction in the force of gravity with altitude?

You're correct Queso Explosivo, that was exactly my mistake. I was calculating it always with the same distance, not taking into account it varies as the ship goes up. Stupid mistake.

Anyways thanks for your answer.