Damping of a Gravitationally Oriented Two-Body Satellite

Abstract

The last relation determines the manner in which T varies if static equilibrium exists. Thus the paradox appears to be resolved; the more difficult problem of determining the shape of the film remains.

Attitude stabilization and control of earth satellites

“…A study of the maximum damping to be obtained with such a configuration has been made by ZAJAC (1962). T [NLING and MERRrCK (1964) have shown that damping of the transient motions about all axes is even possible, using only a single rod constrained to move in the vertical plane only and to be in the horizontal plane when in the equilibrium position.…”

Limits on the Damping of Two-Body Gravitationally Oriented Satellites

“…3 and 4 is l/(2ir) = 0.159 orbits-of the same order as that of the system in Ref. 1. One might conjecture that a natural bound of this order of magnitude generally exists for purely gravity-gradient schemes.…”

“…1, a bound was found on the pitch "as}anptotic settling time," that is, the 1/e settling time of the most lightly damped mode. This was found to be S 1 / 4 /^^) 1 / 2 = 0.137 orbits.…”

URSI National Committee Report, XIV General Assembly, Tokyo, September 1963: Commission 7. Radio Electronics (10 sections)

“…This problem has been discussed [Kendall et al, 1960;Roberson, 1962 ;and Haeussermann, 1962]. The problem of damping the oscillations in such a system may be solved by using fluids [Lewis, 1962], resonant mechanical structures [Zajac, 1962] or gyro's [Burt, 1962]. There are fundamental characteristics limiting the rate of damping, which may not be exceeded by nny method [Za jac, 1963].…”