LAWS OF FALLING BODIES

The Orbits of Freely Falling Bodies.

The Southerly Deviation of Falling Bodies

In the work of previous writers on the subject of this paper the potential function used for that of the earth's gravitational field of force has, in general, not been more than a first approximation, i. e., a development, in the neighborhood of the initial point of the falling body, which includes terms of only the first order in the independent variables. The circle of reference (parallel of ...

Orientation of long bodies falling in a viscoelastic liquid

New experiments on the orientation of a cylinder settling in viscoelastic and pseudoplastic fluids are described in an attempt to identify the main mechanisms which control the orientation of the cylinder as it falls.

Radius-mass Scaling Laws for Celestial Bodies

In this letter we establish a connection between two-exponent radius-mass power laws for cosmic objects and previously proposed two-exponent Regge-like spin-mass relations. A new, simplest method for establishing the coordinates of Chandrasekhar and Eddington points is proposed. In previous papers [2],[3] Muradian has suggested the two-exponent Regge-like relation J = ¯ h m m p 1+1/n (1) betwee...

New Control Laws for the Attitude Stabilization of Rigid Bodies

This paper introduces a new class of globally asymptotically stabilizing feedback control laws for the complete i e dynamics and kinematics attitude motion of a rotating rigid body Control laws are given in terms of two new parameterizations of the rotation group derived using stereographic projection The stabilizing properties of the proposed controllers are proved using Lyapunov functions whi...