  Gravitomagnetism characterize phenomena in the weak field limit within the
context of rotating systems. These are mainly manifested in the geodetic and
Lense-Thirring effects. The geodetic effect describes the precession of the
spin of a gyroscope in orbit about a massive static central object, while the
Lense-Thirring effect expresses the analogous effect for the precession of the
orbit about a rotating source. In this work, we explore these effects in the
framework of Teleparallel Gravity and investigate how these effects may impact
recent and future missions. We find that teleparallel theories of gravity may
have an important impact on these effects which may constrain potential models
within these theories.
