Holonomic Systems -- Nonholonomic Systems -- Linear Transformation Of Forces -- Application Of A Tangent Space To The Study Of Constrained Motion -- The Mixed Problem Of Dynamics. New Class Of Control Problems -- Application Of The Lagrange Multipliers To The Construction Of Three New Methods For The Study Of Mechanical Systems -- Equations Of Motion In Quasicoordinates
Summary
The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and to suggest a form of equations for describing the system of motion of rigid bodies. This book illustrates this theory by the examples of a spacecraft motion
