  We discuss the classical tests of general relativity in the presence of
Rindler acceleration. Among these tests the perihelion shifts give the tightest
constraints and indicate that the Pioneer anomaly cannot be caused by a
universal solar system Rindler acceleration. We address potential caveats for
massive test-objects. Our tightest bound on Rindler acceleration that comes
with no caveats is derived from radar echo delay and yields |a|<3nm/s^2.
