We use recent observations from solar system orbital motions in order to constrain f ( T ) gravity .
In particular , imposing a quadratic f ( T ) correction to the linear-in- T form , which is a good approximation for every realistic case , we extract the spherical solutions of the theory .
Using these spherical solutions to describe the Sun ’ s gravitational field , we use recently determined supplementary advances of planetary perihelia , to infer upper bounds on the allowed f ( T ) corrections .
We find that the maximal allowed divergence of the gravitational potential in f ( T ) gravity from that in the teleparallel equivalent of General Relativity is of the order of 6.2 \times 10 ^ { -10 } , in the applicability region of our analysis .
This is much smaller than the corresponding ( significantly small too ) divergence that is predicted from cosmological observations , as expected .
Such a tiny allowed divergence from the linear form should be taken into account in f ( T ) model building .