  We describe some new estimates concerning the recently proposed SEE
(Satellite Energy Exchange) experiment for measuring the gravitational
interaction parameters in space. The experiment entails precision tracking of
the relative motion of two test bodies (a heavy "Shepherd", and a light
"Particle") on board a drag-free capsule. The new estimates include (i) the
sensitivity of Particle trajectories and G measurement to the Shepherd
quadrupole moment uncertainties; (ii) the measurement errors of G and the
strength of a putative Yukawa-type force whose range parameter $\lambda$ may be
either of the order of a few metres or close to the Earth radius; (iii) a
possible effect of the Van Allen radiation belts on the SEE experiment due to
test body electric charging
