Comment by Borgel on July 10, 2008 at 12:02am 
Comment by Caleb Chamberlain on August 1, 2009 at 9:08am
Comment by Shakeel Mahmood on September 11, 2009 at 5:27pm
Comment by Michael Khvilivitzky on May 27, 2010 at 10:34am
Comment by Arash Joorabchi on June 9, 2010 at 2:06pm
Comment by Adrian Jansen on August 13, 2012 at 6:50pm [quote]So, in a nutshell: Accelerometers are right in the long term but wrong (noisy) in the short term. Gyros are right in the short term but wrong (drifiting) in the long term. You need both--each to calibrate the other--to be right all the time.[/quote]
Actually its not noise in the accelerometers which causes the problem. The fact is that even with perfect accelerometers, you can fly a manouver which keeps the accelerations in all direction exactly on zero ( plus gravity ) and change the attitude and heading of the aircraft arbitrarily. A simple case is a coordinated turn combined with a spiral dive. The turn keeps the X and Y accelerometers on zero, and the dive keeps the Z accelerometer on zero ( plus gravity ). And yet the aircraft ends up on a totally different heading. So no integration of even perfect accelerometers will detect the turn you just made. Even worse, you can pass through any arbitrary attitude, even inverted, and the accelerometers will read exactly nothing. So you cannot, even in principle, measure the flight path using accelerometers alone. Even combining them with gyros does not help, since the gyros will measure the rotation rates, and integration will give you the rotations, but the accelerometers will ( eventually ) remove those rotations, or add to them in totally unpredictable ways, depending on the actual manouver you perform.
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