A study of aircraft landing gear dynamics is presented from the viewpoint of comparing various methods of treating landing gear dynamic problems. Analytical methods for finding oleo strut forces, tire forces, and for treating the aircraft landing gear dynamics problem, from the simple one degree of freedom system to an equivalent system of six degrees of freedom, are studied and results formulated. One section of this report is devoted to a survey of the known mathematical techniques for treating nonlinear mechanics problems. Also a method of reducing the solution of a set of nonlinear differential equations to the solution of a set of linear equations has been developed. Equations of motion which predict the behavior of the landing aircraft from initial impact, during rebound and to final runout are written, solved, and correlated with an actual landing. Attention is called to the direct simulation analog computer or electric circuit model study of drop testing a gear. Results from this study are compared and correlated with drop test data. A brief account of the physics of rebound phenomena is also presented. (Author).