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by zamalek 764 days ago
In terms of flatland:

Ignore the camera. Instead you have a planet (a circle in flatland), a gyroscope (an arrow that always points in the same direction on the page in flatland), and Mr Square.

        --> [.]
             |
        /----\
        |    |
        \----/
Start off at noon, with Mr Square and the arrow at the top of the planet, the gyroscope to the left of Mr Square pointing at him. Now progress time by 6 hours, by rotating the planet clockwise by 90 degrees. Mr Square and the gyroscope will move with the surface of the planet, resulting in them being on the right side of the circle on the page (the gyroscope above Mr Square on the page). Mr Square's feet will be on the surface of the planet, meaning his rotation matched the planet. However, the gyroscope always points in the same direction on the page. It's now pointing at the sky.

        /----\
        |    | -->
        \----/-[.]
In conclusion: both Mr Square and the gyroscope move with the surface of the planet - in exactly the same way. However, Mr Square will always be standing (along with everything else on the planet), while the gyroscope always points in the same direction on the page (irrespective of the time of day). A camera using the gyroscope would have to account for that.

We wouldn't have the same issue on a (non-rotating) space station. That's why planetary rotation is blamed.

1 comments

I asked myself how the gyroscope manages to point always to point to the same direction. The answer is that only objects moving translational form an inertial frame, rotating objects don't:

> Due to Earth's rotation, its surface is not an inertial frame of reference. The Coriolis effect can deflect certain forms of motion as seen from Earth, and the centrifugal force will reduce the effective gravity at the equator. Nevertheless, it is a good approximation of an inertial reference frame in many low precision applications.

https://en.wikipedia.org/wiki/Inertial_frame_of_reference