Abstract
A part of the familyh of retrograde periodic orbits of the restricted problem (μ=0.5) is examined in relation to the families of periodic orbits of the second generation branching from it. Many such families are determined and the significance of the configuration of their characteristics for the determination of the boundary of the stability region around this part ofh is discussed.
Similar content being viewed by others
References
Hénon, M.: 1966,Bull. Astron. 1, 57.
Hénon, M.: 1970,Astron. Astrophys. 9, 24.
Hénon, M.: 1974, Private communication.
Markellos, V. V.: 1974,Celes. Mech. 10, 87.
Markellos, V. V.: 1975,Celles. Mech. 12, 215.
Szebehely, V.: 1967,Theory of Orbits, Academic Press, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Markellos, V.V., Zagouras, C.G. On periodic orbits of the second generation and regions of stability. Celestial Mechanics 16, 123–126 (1977). https://doi.org/10.1007/BF01235734
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01235734