Euler Angles


Euler angles are a set of three angles that describe the orientation of a rigid body in 3D space with respect to a fixed coordinate system. The three angles represent rotations about three distinct axes, typically the x, y, and z axes. Euler angles are commonly used in space and astronautical engineering to describe the orientation of spacecraft, satellites, and other objects in space. However, Euler angles suffer from a problem known as gimbal lock, which occurs when two of the three angles align, causing a loss of one degree of freedom. This can lead to numerical instability and difficulty in controlling the orientation of the object. To avoid this problem, other methods such as quaternions or rotation matrices are often used instead.


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