  Using the helium abundance measured by Galileo in the atmosphere of Jupiter
and interior models reproducing the observed external gravitational field, we
derive new constraints on the composition and structure of the planet. We
conclude that, except for helium which must be more abundant in the metallic
interior than in the molecular envelope, Jupiter could be homogeneous (no core)
or could have a central dense core up to 12 Earth masses. The mass fraction of
heavy elements is less than 7.5 times the solar value in the metallic envelope
and between 1 and 7.2 times solar in the molecular envelope. The total amount
of elements other than hydrogen and helium in the planet is between 11 and 45
Earth masses.
