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On the equilibrium configuration of a particular three-body system

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Summary

The equilibrium configurations of a deformable spinning satellite are investigated. The system is modelled by three interconnected rigid bodies, two of them having the characteristics of rigidified cables or beams. The equilibrium conditions and stability criteria of this particular system are provided by the multibody formalism. Using these conditions, all the equilibrium configurations which can not a priori be found to be unstable are determined.

Übersicht

Es werden die Gleichgewichtslagen eines deformierbaren drehenden Satelliten untersucht. Das Modell des Satelliten besteht aus drei miteinander verbundeneu starren Körpern, von denen zwei als erstarrt gedachte Kabel oder Balken betrachtet werden. Die Gleichgewichtsbedingungen und die Stabilitätskriterien dieses Systems werden mit Hilfe des Formalismus der Mehrkörpersystemtheorie abgeleitet. Auf diese Weise werden alle diejenigen Gleichgewichtslagen bestimmt, die nicht von vornherein offensichtlich instabil sind.

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Authors and Affiliations

  1. Unité de Mécanique Appliquée, Université Catholique de Louvain, Batiment Simon Stevin, Place du Levant 2, B-1348, Louvain-La-Neuve, Belgique

    J. Cl. Samin &  P. Y. Willems

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  1. J. Cl. Samin
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  2. P. Y. Willems
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This research was partially supported by FNRS fellowship and by ESRO contract n ° 2163/74 AK.

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Samin, J.C., Willems, P.Y. On the equilibrium configuration of a particular three-body system. Ing. arch 44, 281–290 (1975). https://doi.org/10.1007/BF00534487

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  • DOI: https://doi.org/10.1007/BF00534487

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