Abstract. A new, more exact than that recently be published, ( Apeiron, Vol. 18, No 2 (2011)), the formula for Shadow-Gravity force, for any distances between fundamental sub-particles, including very short ones, when gravitation becomes strong, is developed. Basic problems because of which old Fatio-Lesage's idea of gravitation has not been recognized are discussed. Expression and numerical data for the strong gravitation are given. Beginning from distances 10^-35 m the gravitation force becomes in 40 times larger than its usual macroscopic value and in 10^41 times larger for the distance ~10^-54 m. Numerical evaluations of the fations gas energy density (5.0445x10^109 J/m3), of gravitational cross-section of the electron (3.2827x10^-69 m2), and basic parameters of the shadow gravity are made. It is shown that a usual substance absorbs hypothetical fations very weakly. The absorption probability is ~10^-42.