The Earth-Mars-Sun-Jupiter system allows for a sensitive test of the s
trong equivalence principle (SEP) that is qualitatively different from
that provided by lunar laser ranging. Using analytic and numerical me
thods, we demonstrate that Earth-Mars ranging can provide a useful est
imate of the SEP parameter eta. Two estimates of the predicted accurac
y are derived and quoted, one based on conventional covariance analysi
s, and another (called ''modified worst case'' analysis) that assumes
that systematic errors dominate the experiment. If future Mars mission
s provide ranging measurements with an accuracy of sigma meters, after
10 years of ranging the expected accuracy for the SEP parameter eta w
ill be of order (1-12) x 10(-4)sigma. These ranging measurements will
also provide the most accurate determination of the mass of Jupiter, i
ndependent of the SEP-effect test.