<b>Solving Fractional Type of Astronomy Equation by Fractional Order of Rationalized Haar Operational Matrices</b> Numerical solution of fractional Lane Emden equation which is the nonlinear singular initial value problem in astrophysics has been proposed by fractional order of Rationalized Haar operational matrices based on collocation method. The advantage of our technique is that the computational speed is high due to using the RH operational matrices and the convergence rate is exponential. We investigate two examples to test the accuracy, speed and efficiency of this new method in which these evaluations confirmed our claim. Rationalized Haar Operational Matrix Collocation Fractional Order Lane Emden Exponential Convergence 696-703 Issue-7 Volume-6 Ali Pirkhedri