Summary
The dynamics of triple stars and methods for computing the motions are briefly reviewed: The topics include the statistical properties of unstable triples, stability limits in hierarchical systems and numerical methods to compute the evolution and the largest Lyapunov exponent of a triple star model
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Aarseth: Gravitational N-Body Simulations (Cambridge Univ. Press, Cambridge, 2003)
S.J. Aarseth, K. Zare: Cel. Mech., 10, 185 (1974)
C.D. Bailyn: Ph.D. Thesis (Yale University, 1987).
P.T. Boyd, S.L.W. McMillan: Phys. Rev. A46, 6277 (1992)
E. Davoust, R. Broucke: A&A 112, 305 (1982)
P. Eggleton, L. Kiseleva: ApJ, 455, 640 (1995)
R.S. Harrington: Cel. Mech. 6, 322 (1972)
D.C. Heggie: Cel. Mech., 10, 217 (1974)
D.C. Heggie: MNRAS 173, 729 (1975)
D.C. Heggie, P. Hut: ApJS 85, 347 (1993)
D.C. Heggie, P. Hut, S.L.W. McMillan: in IAU Symp. 174 Dynamical Evolution of Star Clusters: Confrontation of Theory and Observations, p. 371 (1996)
D.C. Heggie, P. Hut, S.L.W. McMillan: ApJ 467, 359 (1996)
P. Hut, J.N. Bahcall: ApJ 268, 319 (1983)
P. Hut: ApJ 268, 342 (1983)
P. Hut: AJ 88, 1549 (1983)
P. Hut: ApJS 55, 301 (1984)
K.A. Innanen, J.Q. Zheng, S. Mikkola, M.J. Valtonen: AJ 113, 1915 (1997)
H. Kinoshita, H. Nakai: Cel. Mech. and Dyn. Astron. 75, 125 (1999)
S.L.W. McMillan: ApJ 467, 348 (1996)
R. Montgomery, A. Chenciner: Ann. of Math. 152, 881 (2000)
R.A. Mardling, S.J. Aarseth: MNRAS 321, 398 (2001)
S. Mikkola, M.J. Valtonen: MNRAS 223, 269 (1986)
S. Mikkola: MNRAS 215, 171 (1985)
S. Mikkola: In The Few-Body Problem (ed. M.Valtonen), p. 261 (Kluwer, Dordrecht, 1988)
S. Mikkola: MNRAS 269, 127 (1994)
S. Mikkola, J. Hietarinta: Cel. Mech. and Dyn. Astron. 51, 379 (1991)
S. Mikkola, K. Tanikawa: Cel. Mech. and Dyn. Astron. 74, 287 (1999)
S. Mikkola, K. Innanen: Cel. Mech. and Dyn. Astron. 74, 59 (1999)
W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Wetterling: Numerical Recipes (Cambridge Univ. Press, Cambridge, 1986).
M. Preto, S. Tremaine: AJ 118, 2532 (1999)
J. Schubart: AN 283, 17 (1956)
M.J. Valtonen: Vistas in Astron. 32, 23 (1988)
M. Valtonen, S. Mikkola: ARA&A 29, 9 (1991)
M. Valtonen, S. Mikkola, P. Murdin: Three-body Problem. In Encyclopedia of Astronomy and Astrophysics (2000)
M. Valtonen: RMxAA 21, 147 (2004)
M. Valtonen, H. Karttunen: The Three Body Problem (Cambridge Univ. Press, Cambridge, 2005)
H. Yoshida: Phys. Lett. 150, 262 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mikkola, S. (2008). Dynamics and Stability of Triple Stars. In: Hubrig, S., Petr-Gotzens, M., Tokovinin, A. (eds) Multiple Stars Across the H-R Diagram. ESO Astrophysics Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74745-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-74745-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74744-4
Online ISBN: 978-3-540-74745-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)