General Solutions: Secular periodic s Pendulum equations δp=Acos(npt+o) +6 2A sin(npt +a)+ n(p-4) 6t+δ0。 psin o。 2sin o sin where n VCOS φ。andp=1{4+ cOS 8 Hills Equations x= Acos(nt+a) y=-2A sin(nt +a)-(3/2)nxt+yGeneral Solutions: Secular & Periodic General Solutions: Secular & Periodic F Pendulum Equations: F Hill’s Equations: δφ = Acos( n ρ t + α ) +δ φ o δθ = − 2A ρsin φ o sin( n ρ t + α ) + n( ρ 2 − 4) 2sin φ o δφ o t + δ θ o where n = g r cos φ o and ρ = 4 + sin 2 φ o cos 2 φ o x = A cos(nt + α ) + x o y = − 2 A sin(nt + α ) − (3 / 2 ) n x o t + y o