= 6-th, 8-th and 10-th order Hermite Integrators = Nitadori & Makino (2008, New Astronomy, Volume 13, Issue 7, p. 498-507.) presents the formulas for the 6-th and 8-th order Hermite integration scheme. Here, we presnet alternative formulations with the Newmark method. 20090801 updated [attachment:Hermite.pdf]