Why is gimbal lock a problem? Why can't an object continue rotating through it?
>>16866577Because the gimbals are locked.
>>16866586they seem pretty mobile
>>16866577Gimbal lock is a problem since you utilize the 3 euler angles to determine attitude. If one of those angles is not detectable then it can be in any orientation. There is no further information to utilize to determine the offset without sensor fusion from an initial position. The gimbal still rotates freely but while it is locked the angle information isn't available to be measured
>>16866640What do you mean? Does it rotate freely, or is it locked?
>>16866640Question is answered so I'm locking the thread.
Question not answered, unlocking the thread.
>>16866577See>https://www.youtube.com/watch?v=zc8b2Jo7mno>In formal language, gimbal lock occurs because the map from Euler angles to rotations (topologically, from the 3-torus T3 to the real projective space RP3, which is the same as the space of rotations for three-dimensional rigid bodies, formally named SO(3)) is not a local homeomorphism at every point, and thus at some points the rank (degrees of freedom) must drop below 3, at which point gimbal lock occurs. Euler angles provide a means for giving a numerical description of any rotation in three-dimensional space using three numbers, but not only is this description not unique, but there are some points where not every change in the target space (rotations) can be realized by a change in the source space (Euler angles). This is a topological constraint – there is no covering map from the 3-torus to the 3-dimensional real projective space; the only (non-trivial) covering map is from the 3-sphere, as in the use of quaternions. >The unit quaternions give a group structure on the 3-sphere S3 isomorphic to the groups Spin(3) and SU(2), i.e. the universal cover group of SO(3). The positive and negative basis vectors form the eight-element quaternion group. Quaternions q and -q give the same rotation so it's a double cover of SO(3)
>>16866857So why can't it continue rotating?
>>16866857well?
>>16866577Looking through this thread, you seem to think of it as some mechanical quirk. It’s not. It’s just mathematics. Think of it like this. Orbits have three angles determining their orientation. But if the orbital inclination is exactly zero, then the longitude of ascending node is completely undefined. There is no ascending node at all. You just supposedly lost a degree of freedom due to this singular behavior, but in reality it’s that Euler angles are shit like >>16866857describes.
>>16867614The video linked by >>16866857 shows the plane being unable to rotate through gimbal lock.I provided an example in the OP of an object rotating through gimbal lock.Is the video mistaken, then?
>>16867616Again, you have this midwit perception of things being some kinds of sentient agents doing it on their own will. Its literally a fault in the description of a system, not the system itself being “unable” to do something.
>>16867627Then why can't the plane continue rotating?
>>16867633The plane isn’t fucking real, you mong. Do some actual math for once in your life, learn matrix multiplication.
>>16867648No. Answer me.
bump
>>16866586I love you and I don't even know you.No homo.>>16866577Ignoring the whole laser gyro dimension and pretending this is all mechanical: You "could eventually" but the thing that threw your gyroscope into lock probably happened so fast that by the time you recover orientation, if you aren't already dead from loss of flight controls, your inertial navigation system won't know what up is anymore.>>16866858It can and does but it's resonantly locked so will only measure one torsion vector instead of three which is like having both your inner ears smashed then trying to run in a straight line in a spinning tube.
>>16866586Just unlock them.
