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... the tides are due to the gradient of the
gravitational field of the Moon and Sun... The tidal force from
an object varies, therefore, as M/r^3.
================================
Stephen D. Murray
.... the force equivalent to that of
the moon is generated by a satellite having 10^{-3} moon masses at a
distance (1/r_{moon})^{2} =10^{-3)/r^{2}, or
r = 10^{-3/2}r_{moon} = .03x60 earth radii or about 1.8 earth
radii.