Mathematics

Research from Tanta University provides new data on nonlinear research

  2008 NOV 17 - (VerticalNews.com) -- "The perturbed rotational motion of a gyrostat about a fixed point with mass distribution near to Lagrange's case is investigated. The gyrostat is subjected under the influence of a variable restoring moment vector, a perturbing moment vector, and a third component of a gyrostatic moment vector," scientists writing in the journal Nonlinear Dynamics report.

  "It is assumed that the angular velocity of the gyrostat is sufficiently large, its direction is close to the axis of dynamic symmetry, and the perturbing moments are small as compared to the restoring ones. These assumptions permit us to introduce a small parameter. Averaged systems of the equations of motion in the first and second approximations are obtained. Also, the evolution of the precession angle up to the second approximation is determined," wrote T.S. Amer and colleagues, Tanta University.

  The researchers concluded: "The graphical representations of the nutation and precession angles are presented to describe the motion at any time."

  Amer and colleagues published their study in Nonlinear Dynamics (On the rotational motion of a gyrostat about a fixed point with mass distribution. Nonlinear Dynamics, 2008;54(3):189-198).

  Additional information can be obtained by contacting T.S. American, Tanta University, Dept. of Math, Faculty Science, Tanta 31527, Egypt.

  The publisher of the journal Nonlinear Dynamics can be contacted at: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands.

  Keywords: Nonlinear Research, Tanta University.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.