Abstract
Motivated by Papadakis (2005a, b), we study a Chermnykh-like problem, in which an additional gravitational potential from the belt is included. In addition to the usual five equilibrium points (three collinear and two triangular points), there are some new equilibrium points for this system. We studied the conditions for the existence of these new equilibrium points both analytically and numerically.
Similar content being viewed by others
References
Brent, R.P.: Algorithms for minimization without derivatives, Englewood Cliffs, NJ: Prentice-Hall (1973)
Chermnykh, S.V., Vest. Leningrad Univ. 2, 10 (1987)
Jiang, I.-G., Yeh, L.-C.: Int. J. Bifurcation and Chaos 13, 617 (2003)
Jiang, I.-G., Yeh, L.-C.: Int. J. Bifurcation and Chaos 14, 3153 (2004)
Jiang, I.-G., Yeh, L.-C.: Astrophysics and Space Science. DOI 10.1007/s10509-006-9065-4 (2006)
Miyamoto, M., Nagai, R.: Publ. Astron. Soc. Japan 27, 533 (1975)
Lizano, S., Shu, F.H.: ApJ 342, 834 (1989)
Papadakis, K.E.: A&A 425, 1133 (2004)
Papadakis, K.E.: Astrophysics and Space Science 299, 67 (2005a)
Papadakis, K.E.: Astrophysics and Space Science 299, 129 (2005b)
Press, W.H. et al.: Numerical recipes in Fortran, Cambridge University Press (1992)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yeh, LC., Jiang, IG. On the Chermnykh-Like Problems: II. The Equilibrium Points. Astrophys Space Sci 306, 189–200 (2006). https://doi.org/10.1007/s10509-006-9170-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-006-9170-4