It wouldn’t have to face up, it would have to face retrograde from the ISS orbit to bleed off velocity and allow it to fall. According to my interpretation of Wikipedia’s description of the Hohmann transfer which is the most efficient way to change orbits, you need -2081m/s change to drop from 420km to 415km. We can ignore the circularizing burn which would only be like 5m/s.
Re-did my math. You need to lose 5.43m/s. Think I forgot to include the Earth’s radius at some point.
Calculating gas exit velocity through a hole is tricky, but we can do it by momentum shift. The entire 1000m^3 pressurized volume of 1atm air at a cozy 70F has a mass of around 1000kg. If we assume 1000kg is small compared to 440,000kg of the entire space station, we can do a simple m1v1 = m2v2 equation.
For the 440,000kg station to decelerate by 5.43m/s, it would need to eject its entire pressurized atmosphere at a velocity of 2389m/s or 5344mph.
So yeah, I don’t think a pressure leak is enough to do it.
Not to mention that the ISS already loses 2km/month due to drag in the thin atmosphere.
It wouldn’t have to face up, it would have to face retrograde from the ISS orbit to bleed off velocity and allow it to fall. According to my interpretation of Wikipedia’s description of the Hohmann transfer which is the most efficient way to change orbits, you need
-2081m/s change to drop from 420km to 415km. We can ignore the circularizing burn which would only be like 5m/s.Re-did my math. You need to lose 5.43m/s. Think I forgot to include the Earth’s radius at some point.
Calculating gas exit velocity through a hole is tricky, but we can do it by momentum shift. The entire 1000m^3 pressurized volume of 1atm air at a cozy 70F has a mass of around 1000kg. If we assume 1000kg is small compared to 440,000kg of the entire space station, we can do a simple m1v1 = m2v2 equation.
For the 440,000kg station to decelerate by 5.43m/s, it would need to eject its entire pressurized atmosphere at a velocity of 2389m/s or 5344mph.
So yeah, I don’t think a pressure leak is enough to do it.
Not to mention that the ISS already loses 2km/month due to drag in the thin atmosphere.
there should be awards for doing math on the internetz, here’s the best I can do 🏆