Velocity-dependent inverse cubic force and solar system gravity tests
  Higher mass dimension terms in an effective field theory framework for tests
of spacetime symmetries are studied. Using a post-Newtonian expansion method,
we derive the spacetime metric and the equations of motion for a binary system.
This reveals an inverse cubic force correction to General Relativity that
depends on the velocity of the bodies in the system. The results are studied in
the context of laboratory and space-based tests including the effects on
solar-system ephemeris, laser ranging observations, and gravimeter tests. This
work reveals the coefficient combinations for mass dimension 5 operators
controlling CPT violation for gravity that can be measured using analysis from
these tests. Other tests including light propagation can be used to probe these
coefficients. Sensitivity estimates are provided and the results are contrasted
with the minimal mass dimension 4 terms in the gravity sector.
