The following of an NT is included in the COLUMBUS program system (under the name reduced gradient following, RGF). There are some links to different programs . The Newton trajectory method has been established in chemistry since 1998, see refs. and the references therein. We report that NTs are calculated for the PES of Frenkel-Kontorova chains with up to 500 atoms and for medium molecules with up to 150 atoms . Generalizations of the method for nonlinear forces are proposed instead of Eq. ( ) .