The Phugoid(cont'd) e Vertical momentum equation mh=L-mg g(1+ Energy conservation T= D mgh +muo=mgh+mu2 (to first order)- gh+uov=0 ● Equations of motion 2 +2当h 0 i+2The Phugoid (cont’d) • Vertical momentum equation m¨h = L − mg ¨h = g(1 + 2 v ′ v0 − 1) • Energy conservation T = D mgh0 + 1 2 mv2 0 = mgh + 1 2 mv2 (to first order) → gh′ + v0v ′ = 0 • Equations of motion ¨h ′ + 2 g 2 v 2 0 h ′ = 0 ¨v ′ + 2 g 2 v 2 0 v ′ = 0 9