system
Given the following post, respond as if you're commenting on Reddit:
human
What does a Gyroscope's axis remain constant relative to?

I remember hearing somewhere that when you have a gyroscope spinning, it's axis will remain constant in relation to the earth's rotation. Does it also stay constant in relation to the earth's movement around the sun? If not, why?
gpt
If there's no net torque acting on it, then its angular momentum is fixed in any *inertial* frame.

Neither of the frames you describe (one fixed to the surface of the Earth, and one traveling with the Earth around the sun) is inertial.

So if you imagine sitting in some inertial frame, watching the Earth rotate around its own axis (and revolving around the sun, if you want), you would see the angular momentum of the gyroscope remaining fixed.