Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-19T12:28:52.715Z Has data issue: false hasContentIssue false
  • English
  • Français

Weak stability transition region near the orbit of the Moon

Published online by Cambridge University Press:  30 May 2022

Zoltán Makó Open the ORCID record for Zoltán Makó [Opens in a new window]  and
Júlia Salamon
Zoltán Makó
Affiliation:
Department of Economic Sciences, Sapientia Hungarian University of Transylvania, Miercurea Ciuc, Romania
Júlia Salamon
Affiliation:
Department of Economic Sciences, Sapientia Hungarian University of Transylvania, Miercurea Ciuc, Romania
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper provides a study on the weak stability transition region in the framework of the planar elliptic restricted three-body problem. We define the lower boundary curve of the weak stability transition region and as a particular case, we determine this curve in the Sun-Earth system. The orbit of the Moon is near the lower boundary of the weak stability transition region.

Keywords

Weak stability boundaryWeak stability transition regionElliptic restricted three-body problem
Type
Research Article
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S364: Multi-scale (Time and Mass) Dynamics of Space Objects (Oct 2021) , October 2019 , pp. 184 - 190
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

References

Belbruno, E. 1987, in Proc. of AIAA/DGLR/JSASS Inter. Propl. Conf. AIAA paper No. 87-1054Google Scholar
Belbruno, E., 2004, Capture Dynamics and Chaotic Motions in Celestial Mechanics, Princeton Univ. PressCrossRefGoogle Scholar
Belbruno, E., Topputo, F., & Gidea, M. 2008, Adv Space Res, 42, 1330 CrossRefGoogle Scholar
Belbruno, E., Gidea, M., & Topputo, F. 2010, SIAM J Appl Dyn Syst, 3, 1061 CrossRefGoogle Scholar
Belbruno, E., Gidea, M., & Topputo, F. 2013, Qual Theor Dyn Syst, 12, 53 CrossRefGoogle Scholar
Ceccaroni, M., Biggs, J., & Biasco, L. 2012, Celest Mech Dyn Astr, 114, 1 CrossRefGoogle Scholar
Garca, F., & Gómez, G. 2007, Celest Mech Dyn Astr, 97, 87 CrossRefGoogle Scholar
Hamilton, D.P., & Burns, J.A. 1992, Icarus, 96, 43 CrossRefGoogle Scholar
Hyeraci, N., & Topputo, F. 2013, Celest Mech Dyn Astr, 116, 175 CrossRefGoogle Scholar
Makó, Z., Szenkovits, F., Salamon, J., & Oláh-Gál, R. 2010, Celest Mech Dyn Astr, 108, 357 CrossRefGoogle Scholar
Romagnoli, D., & Circi, C. 2009, Celest Mech Dyn Astr, 103, 79 CrossRefGoogle Scholar
Szebehely, V. 1967, Theory of orbits, Academic Press, New-YorkGoogle Scholar
Topputo, F., Belbruno, E. 2009, Celest Mech Dyn Astr, 3, 17 Google Scholar