๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The effect of the elasticity of an orbital tether system on the oscillations of a satellite

โœ Scribed by V.S. Aslanov

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
695 KB
Volume
74
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

โœฆ Synopsis

An orbital tether system, including a satellite (a rigid body), an elastic ponderable tether and a terminal load, is investigated. A mathematical model is obtained using Lagrange's equation of the second kind, which enables the plane translational motion of the centres of mass of the elements of the system and the rotational motion of the satellite and the tether to be investigated. It is shown that the equations of motion for the new independent variable, that is, the true anomaly angle, obtained on the assumption that the motion of the centre of mass of the system is independent of the relative motion of its elements, are an extension of the known mathematical models. The effect of the elasticity of the tether on the angular oscillations of the tether and the satellite is investigated. The model constructed can be used both to analyse of the deployment of a tether system as well as to investigate of the combined behaviour of a satellite and a tether about the natural centres of mass.

๐Ÿ“œ SIMILAR VOLUMES

The oscillations of a body with an orbit
The oscillations of a body with an orbital tethered system
โœ V.S. Aslanov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

The motion about a centre of mass of a rigid body with a tethered system, designed to launch a re-entry capsule from a circular orbit is considered. In the deployment of the tethered system the direction and value of the tensile strength of the tether vary and, if the point of application of the ten

The relative equilibria of an orbital pe
The relative equilibria of an orbital pendulum suspended on a tether
โœ A.A. Burov; H. Troger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 451 KB

The problem of the motion of an orbital pendulum suspended on a tether is considered. The existence of relative equilibria is investigated, as well as the sufficient conditions for their stability. Particular attention is paid to the study of coupling reactions, in particular, the question of whethe

Control of the vibrations of a tethered
Control of the vibrations of a tethered satellite system
โœ F. Dignath; W. Schiehlen ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 613 KB

A method of damping structural vibrations using optimization techniques is presented and applied to a tethered satellite system. Such systems show large displacements and require active or passive damping mechanisms. A tethered satellite system is modelled by the method of multibody systems using sy

Orbital Stability of the Uranian Satelli
Orbital Stability of the Uranian Satellite System
โœ Martin J. Duncan; Jack J. Lissauer ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 388 KB

In contrast, the orbits of these moons are fairly well known, and they present an interesting dynamical system. The We have numerically integrated approximately 500 systems of mutually gravitating bodies which were based on subsets of orbits are nearly coplanar and circular, as is common for the ur