Periodic solutions s Pendulum equations 8o=Acos(npt+a) 2A sin(npt+)+δ psin。 sin where n=v=vcos do and p=4+ r cOS 8 Hills equations A cos(nt+a y=-2Asin(nt +a)+yoPeriodic Solutions Periodic Solutions F Pendulum Equations: F Hill’s Equations: δφ = Acos(nρt + α) δθ = − 2A ρsin φo sin(nρt + α) + δθo where n = g r cosφo and ρ = 4 + sin2 φo cos 2 φo x = Acos(nt + α) y = −2Asin( ) nt + α + yo