perhaps an fyi would help out CPF members as to some of the nuances of speeds at an altitude, especially when discussing fast aircraft such as the SR-71, Aurora, and beyond.
Using a Mach number to describe a flight speed is deceptive, and valid only for that aircraft at that altitude nominally as determined inside the aircraft. For most of the ground-based purposes, speeds are cited in a distance covered in a short period of time, such as 1.6 miles per sec (SR-71), or a named ground speed in conventional units which can be used for speed record purposes. Nevertheless, a Mach number is dependent on the altitude, temperature, density of the air, etc. Here are some links to help out the discovery process:
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http://www.aerospaceweb.org/question/atmosphere/q0112.shtml
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There is a calculator in the following link that is quite useful.
http://www.grc.nasa.gov/WWW/k-12/airplane/mach.html
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Flying supersonic at low level is a feat of power. The B-58 Hustler was designed to fly supersonic at low level (over Moscow) and was equipped with 4 after-burning engines. At higher altitudes, the B-58 Hustler at Mach 2 was a challenge to the fighters of it's time and set many records! The F4 Phantom could achieve Mach 2.2 and was considered a good example of if you mounted big enough engines on a rock, it would fly. The SR-71 is listed only as Mach 3+. Modern A-A missiles fly around Mach 5. The US Space Shuttle re-enters the atmosphere at about Mach 25 and comes out of the ionization layers at about Mach 23.
Flying supersonic at high altitude requires less power as compared with low level supersonic flight from an air-breathing engine. However, how that air-breathing engine is designed varies widely between nominally supersonic aircraft.
The SR71 uses turbo-ramjets with an inlet cone or spike that moves back in the housing with increasing speed. The MiG-21 has an inlet cone that moves forward with increasing speed. The MiG-25 Foxbat was supposed to be a competitor to the SR-71 and uses a totally different type of air intake. For the English speakers:
http://en.wikipedia.org/wiki/Inlet_cone
In all cases, the engine design controls the airflow in to the engine such that a supersonic shock wave does not reach (too far) into the air-breathing engine where the goal is to avoid supersonic flow inside the engine such as a scramjet. ie: The SR-71 engines are mounted farther out on the wings to avoid the shockwave from the nose. A more critical factor in the SR-71 is that the shock wave from the inlet spike nominally ends at the outer shroud and should not penetrate (too far) in to the engine. At max speeds, the inlet is fully back against the stop. Those shock waves vary with the various altitude related factors. Which means that a "max" speed at one altitude is not the same "max" speed at another altitude. Which is one of the reasons why the MiG-25 and the SR-71 traded off setting speed records....
Here is a link to the SR-71 manual opened to the engine page showing the air flow and shock waves. Notice that the bottom image stops at Mach 3.2 with a fully retracted inlet cone. That means a specific Mach number at flight altitude - leaving some wiggle room for the many rumors of how fast the SR-71 could fly
http://www.sr-71.org/blackbird/manual/1/1-33.php
In my mind, the SR-71 is truly the last of it's kind, meaning very fast with air-breathing engines, no matter at low or very high altitudes. Beyond the SR-71 are other interesting aircraft with a ramjet/scramjet, or the rumoured Aurora with maybe a pulse-jet,..... At my former work, I had a full-screen photo of the SR-71 in flight on my home screen. The SR-71 was truly impressive in so many ways!