This paper focuses on the motion of a rigid body, near to Lagrange's case, about a fixed
point in which the ellipsoid of inertia is closed to the ellipsoid of rotation. The body is …

Perturbed motions of a rigid body, close to the Lagrange case, under the action of restoring
and perturbation torques of forces are investigated in the paper. The following problem is …

The small parameter method was applied for solving many rotational motions of heavy
solids, rigid bodies, and gyroscopes for different problems which classify them according to …

Perturbed rotational rigid body motions similar to the case of Lagrange top subjected to
restoring and perturbation slowly time-varying torques of forces are studied in this paper …

A rotary motion is studied, which is used as a paradigm in both mathematics and dynamics.
In this motion, the body moves around its axis. Important examples of this motion are the …

This report provides some closed form solutions--and their inversion--to a satellite's
bounded motion on the equatorial plane of a spheroidal attractor (planet) considering the …

In the previous works, the limiting case for the motion of a rigid body about a fixed point in a
Newtonian force field, which comes from a gravity center lies on Z-axis, is solved. The …

The problem of evolution of the rigid body rotations about a fixed point continues to attract
the attention of researches. In many cases, the motion in the Lagrange case can be …

Estimates of the Average Angular Velocity of the Precession of Lagrange’s Top | Doklady
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The article describes the results obtained for the upper and lower bounds (estimates) for the
apsidal angle (precession angle) in the theory of the motion of the heavy symmetrical solid …