Abstract
The results of Chernous'ko are extended numerically in order to investigate the character of locked-in rotational motion for orbits of arbitrary eccentricity. It is found that for certain ranges of eccentricity, the rotational lock for the higher spin rates in stronger than that of a 1/1 rotational lock in a circular orbit. Furthermore the limiting values of the instantaneous spin rate of the satellite are established for any given rotational lock.
Similar content being viewed by others
References
Beletskii, V. V.: 1966,Motion of an Artificial Satellite about Its Center of Mass, NASA TT F-429, pp. 257–261.
Brereron, R. C. and Modi, V. J.: 1966, ‘On the Stability of Planer Librations of a Dumbell Satellite in an Elliptic Orbit’,J. Roy. Aeronaut. Soc. 70, 1098–1102.
Chernous'ko, F. L.: 1963, ‘Resonance Phenomena in the Motion of a Satellite Relative to Its Mass Center’,U.S.S.R. Computatonal Mathematics and Mathematical Phys.,3, 699–713.
Lastett, L. J. and Sessler, A. M.: 1966, ‘Rotation of Mercury: Theoretical Analysis of the Dynamics of a Rigid Ellipsoidal Planet’,Science 151, 1384.
Liu, H. S.: 1966, ‘The Libration of Mecury’,J. Geophys Res. 71, 3099.
Zlatoustov, V. A., et al.: 1964, ‘A Study of the Oscillations of a Satellite in the Plane of an Elliptic Orbit’,Cosmic Res. 2, 569–576.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lutze, F.H., Abbitt, M.W. Rotational locks for near-symmetric satellites. Celestial Mechanics 1, 31–35 (1969). https://doi.org/10.1007/BF01230630
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01230630