Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T05:47:11.844Z Has data issue: false hasContentIssue false
  • English
  • Français

Attitude Dynamics and Stability Conditions of a Non-Rigid Spinning Satellite

Published online by Cambridge University Press:  07 June 2016

L. C. Rossi ,
R. C. Michelini Di San Martino  and
R. Ghigliazza
L. C. Rossi
Affiliation:
Institute of Applied Mechanics, University of Genoa
R. C. Michelini Di San Martino
Affiliation:
Institute of Applied Mechanics, University of Genoa
R. Ghigliazza
Affiliation:
Institute of Applied Mechanics, University of Genoa
Get access

Summary

The attitude dynamics of a spinning satellite containing an elastically-restrained, viscously-damped mass, is investigated. This non-rigidity approximately represents the interesting practical case of equipment supported by relatively soft anti-shock mountings and the case of a particular viscous nutation damper. The linearised differential equations and the transfer functions relating the dynamic behaviour of the oscillating mass to the spinning-body components of the angular speed and the external torque are determined. On these grounds, the possibility of unstable configurations is singled out and discussed, and the stability condition is established, within the small perturbation approximations. Furthermore, the attitude dynamics for the satellite, both for large manoeuvres and fine corrections, is obtained by applying a train of pulsed torques by means of a suitable control logic and mass-ejection jets. The results are compared with those obtained from rigid-body theory. It is demonstrated that comparatively wide nutations may be produced, and the influence of the relevant parameters is determined.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 3 , August 1969 , pp. 223 - 236
Copyright
Copyright © Royal Aeronautical Society. 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Lagrange, J. L. Mécanique Analytique. Third Edition, Vol. II, p. 212. Mallet Bachelier, 1853.Google Scholar
2. Suddath, H. A theoretical study of the angular motions of spinning bodies in space. NASA Technical Report R-83, June 1960.Google Scholar
3. Grasshoff, L. H. A method for controlling the attitude of a spin-stabilized satellite. American Rocket Society Journal, May 1961.Google Scholar
4. Garner, H. D. and Reid, H. J. E. Simulator studies of simple attitude control for spin-stabilized vehicles. NASA Technical Note D-1395, September 1962.Google Scholar
5. Patapoff, H. Bank angle control system for a spinning satellite. AIAA Guidance and Control Conference, 12th-14th August 1963.Google Scholar
6. Wheeler, P. C. Two-pulse attitude control of an asymmetric spinning satellite. AIAA Guidance and Control Conference, 12th-14th August 1963.CrossRefGoogle Scholar
7. Lecompte, G. W. and Bland, G. J. Simply mechanized control for spinning vehicles. Journal of Spacecraft, November-December 1964.CrossRefGoogle Scholar
8. Gerlach, O. H. Attitude stabilization and control of earth satellites. Space Science Review, Reddel Publishing Company, Dordrecht, Holland, 22nd March 1965.Google Scholar
9. Rossi, L. C. Notes on the dynamics of spinning satellites subject to continuous or pulsed torques. Nuova San Giorgio SpA, Internal Memo, 30th September 1965.Google Scholar
10. Lazennec, H. Pilotage des missiles et de véhicules spatiaux. Dunod, Paris, 1966.Google Scholar
11. Abadie, L. Contrôle et stabilisation des véhicules spatiaux—Systems de contrôle passifs (P-3). Cours d’été de l’ESRO, Helsingør, 29th août–16th septembre 1966.Google Scholar
12. Dini, D. and Michelini, R. C. Model mathématique de la dynamique d’attitude d’un satellite gyroscopique non-rigide. Conférence “Evolution d’Attitude et Stabilisation des Satellites”, Paris, 7th-12th octobre 1968.Google Scholar
13. Eldo Pas, . Etude préliminaire—Détection d’attitude et pilotage, SEREB, Direction Technique, 30th janvier 1967.Google Scholar
14. Rossi, L. C. Preliminary simulation of the dynamics of the PAS satellite. Nuova San Giorgio SpA, Interim Report, June 1967.Google Scholar
15. Rossi, L. C.and Michelini, R. C. A synthetic interpretation of the dynamics of a spinning satellite subject to continuous or pulsed torques. Meccanica, Vol. II, No. 4, 1967.Google Scholar
16. Rossi, L. C. and Michelini, R. C. Sulla dinamica di assetto e sulla condizione di stabilità di un satellite non rigido a stabilizzazione girostatica. AIDA-AIR Congress, Milan, 5th-8th October 1967.Google Scholar
17. Pringle, R. On the stability of a body with connected moving parts. AIAA Journal, August 1966.Google Scholar
18. Rossi, L. C. and Michelini, R. C. Sul comportamento dinamico di un satellite non rigido a stabilizzazione girostatica soggetto a un treno di coppie impulsive. AIDA-AIR Congress, Milan, 5th-8th October 1967.Google Scholar
19. Rossi, L. C., Ghigliazza, R. and Michelini, R. C. A simplified analytical approach and analog simulation results of the attitude perturbed dynamics of a non-rigid spinning satellite. Sciences et Industries Spatiales, July 1969.Google Scholar
20. Michelini, R. C., Acaccia, G., Dini, D. and Gimelli, E. Numerical procedures for the computation of attitude and orbital manoeuvres of a spin stabilised satellite. Second International Conference on Space Engineering, Venice, May 1969.Google Scholar