  The geodetic and frame-dragging effects are the direct consequences of the
spacetime curvature near Earth which can be probed from the Gravity probe B
(GP-B) satellite. The satellite result matches quite well with Einstein's
general relativistic result. The gyroscope of the satellite which measures the
spacetime curvature near Earth contains lots of electrons and nucleons.
Ultralight axions, vector gauge bosons, and unparticles can interact with these
electrons and nucleons through different spin-dependent and spin-independent
operators and change the drift rate of the gyroscope. Some of these ultralight
particles can either behave as a long range force between some dark sector or
Earth and the gyroscope or they can behave as a background oscillating dark
matter fields or both. These ultralight particles can contribute an additional
precession of the gyroscopes, limited to be no larger than the uncertainty in
the GP-B measurements. Compared with the experimental results, we obtain bounds
on different operator couplings.
