TITLE: An approximate solution for the motion of a spinning projectile with a non linear Magnus moment
 AUTHOR: Klajn, M. (1937-2009)
 SOURCE: Israel Journal of Technology, v. 8, No. 1-2, pp. 181-188 (1970).
 LANGUAGE: English.
 ABSTRACT: A method for the approximate solution of the spinner's homogeneous equation of motion with non linear Magnus moment is presented. This method is related to energy methods in which the energy accumulated in the nutation and precession modes during one nutation is equal to the work done on the projectile by the transversal forces and moments. Its application to the linear case gives a solution identical to the analytical one. The method is further tested by comparison with a numerical computer solutions of the non linear equation, and is found to give an excellent approximation to the exact solution. It is possible to map the solution on the state plane of the precession and nutation amplitude and to investigate the motion's stability problems.

 COMMENT: Proc. XII Israel Ann. Conf. Aviation and Astronautics, Tel-Aviv and Haifa, Israel, 4-5 March 1970.



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