Max Q

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For other uses, see Max Q (disambiguation).
A visible shock wave formed as the Apollo 11 Saturn V encountered Maximum Dynamic Pressure (Max Q) at about 1 minute 20 seconds into the flight (altitude 12.5 km, 4 km downrange, velocity 1,600 km/h).
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A visible shock wave formed as the Apollo 11 Saturn V encountered Maximum Dynamic Pressure (Max Q) at about 1 minute 20 seconds into the flight (altitude 12.5 km, 4 km downrange, velocity 1,600 km/h).

Max Q is an aeronautical engineering term that refers to the point of maximum dynamic pressure, the point at which aerodynamic stress on a spacecraft in atmospheric flight is maximized. The dynamic pressure q is defined by:

q = \frac1{2}\rho v^2

where ρ is the air density as a function of altitude and v is the spacecraft's speed. Aerodynamic stresses are proportional to q. During a normal space shuttle launch, this occurs at an altitude around 11 km (35,000 feet).[1] During the Apollo Moon missions, this occurred at an altitude of 13.7 km (44,900 feet).[2]

During ascent, the spacecraft's speed is increasing as its altitude increases; however, air pressure, and with it air density, decreases with altitude until it eventually falls to zero when the spacecraft reaches orbit. Below the Max Q point, the spacecraft acceleration is faster than the rate of density change. Above the Max Q point, the opposite is true.

The chain of events leading to the Challenger disaster occurred shortly after the spacecraft passed Max Q.

Challenger begins to disintegrate at the Max Q reigon.
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Challenger begins to disintegrate at the Max Q reigon.

Max Q can be defined similarly for a spacecraft re-entry. However, heating due to aerodynamic drag is more important than the aerodynamic drag itself, so one does not usually discuss Max Q during re-entry. The Columbia disaster occurred shortly after the point of maximum heating.

[edit] References

  1. ^ Jackson, Doug (6 May 2001). "Space Shuttle Max-Q". Aerodynamics Questions. AerospaceWeb.org. Retrieved on 2006-09-09.
  2. ^ Woods, W. David; Frank O'Brien, transcribers (2005-10-04). "Apollo 15: Launch and Reaching Earth Orbit". Apollo Flight Journal. NASA. Retrieved on 2006-09-09.

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