A new satellite-based test of special and general relativity is proposed. F
or the Michelson-Morley test we expect an improvement of at least three ord
ers of magnitude, and for the Kennedy-Thorndike test an improvement of more
than one order of magnitude. Furthermore, an improvement by two orders of
magnitude of the test of the universality of the gravitational redshift by
comparison of an atomic clock with an optical clock-is projected. The tests
are based on ultrastable optical cavities, lasers, an atomic clock and a f
requency comb generator.