This is simply to add a positive force in the Z axis, this will change the dynamics of the Euler angles, a set of three simultaneous differential equations that Horst is working on now. Another way is to add a translational lagrangian to the rotational lagrangian of the last note. The transaltional lagrangian deals with the lift of the centre of mass. In molecular dynamics computer simulation I computed many cross correlation functions of rotation and translation in an ensemble of molecules, both in the moving frame and lab frame (see Omnia Opera Section circa 1976 to 1992, several hundred papers).

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