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The fundamental equation which relates the orbital angular momentum distribution n(L) to the particle density ρ(r) derieved originally by Fermi~[5] for electrons in atoms and applied to the case of nucleons m nuclei by a number of authors~[6-9] may be regarded as an integral equation for ρ(r) or K(r), provided that n(L) is found from the theory of shell structure. In an early investigation~[1], moments of distribution in L were utilized to provide test for any proposed density function and a simple density function containing two parameters, made to satisfy the test, was given. In the present investigation we have attempted to make full use of the fundamental equation (1). We have succeeded in transforming this non-linear integral equation into a linear one where Equation (2) is of the type of Volterra's integral equation of the first kind. Its solution is To determine f(x) from the data supplied by the shell model, approximate method has been devised. The validity of the method is then tested for the atomic case where accurate electron distribution in the Thomas-Fermi model is known. For a given f(x), and thereforeμ(ξ), ρ(r) can in principle be determined uniquely apart from a constant r_m, which can then be fixed from data on high energy electron scattering by nuclei. For practical purpose, approximate method has been devised to obtain ρ(r) from μ(ξ). It is pointed out that an accurately determined PPPPP(r), together with the real part of accurately determined optical-model-potential can provide information on the radial dependence of statistically averaged nuclear force between two nucleons in nuclei.