Fetching the paper…
Reading the bibliography…
We study the stability and chaos of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner-Hamiltonian formulation.
C. A. Burdet, Zeitschrift Angewandte Mathematik und Physik 18
1967
Earlier work this paper cites.
D. C. Heggie, Celestial Mechanics and Dynamical Astronomy 10
1974
Earlier work this paper cites.
M. Hénon, Celestial Mechanics and Dynamical Astronomy 13
1976
Earlier work this paper cites.
V. I. Arnold, Ordinary Differential Equations (The MIT Press, Cambridge, Ma., 1978) ISBN 0262510189
1978
Earlier work this paper cites.
S. Mikkola, Mon. Not. R. Astron. Soc. 203
1983
Earlier work this paper cites.
J. Farmer, E. Ott, and J. A. Yorke, Physica D: Nonlinear Phenomena 7
1983
Earlier work this paper cites.
S. Mikkola, Mon. Not. R. Astron. Soc. 207
1984
Earlier work this paper cites.
J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57
1985
Earlier work this paper cites.
S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D: Nonlinear Phenomena 17
1985
Earlier work this paper cites.
G. Schäfer, Physics Letters A 123
1987
Earlier work this paper cites.
S. Mikkola and S. J. Aarseth, Celestial Mechanics and Dynamical Astronomy 47
1989
Earlier work this paper cites.
K. Falconer, Fractal Geometry: Mathematical Foundations and Applications , 1st ed. (John Wiley & Sons, 1990)
1990
Earlier work this paper cites.
M. Valtonen and S. Mikkola, Annu. Rev. Astron. Astrophys. 29
1991
Earlier work this paper cites.
C. Moore, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
H.-O. Peitgen, H. Jürgens, and D. Saupe, Chaos and Fractals (Springer, 1993)
1993
Earlier work this paper cites.
S. Mikkola and S. J. Aarseth, Celestial Mechanics and Dynamical Astronomy 57
1993
Earlier work this paper cites.
M. J. Valtonen, S. Mikkola, P. Heinamaki, and H. Valtonen, Astrophys. J. Suppl. 95
1994
Earlier work this paper cites.
S. Mikkola and S. J. Aarseth, Celestial Mechanics and Dynamical Astronomy 64
1996
Earlier work this paper cites.
J. Levin, Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D 62
2000
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D 62
2000
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D62
2000
Earlier work this paper cites.
P. Heinämäki, A&A 371
2001
Earlier work this paper cites.
J. D. Schnittman and F. A. Rasio, Phys. Rev. Lett 87
2001
Earlier work this paper cites.
G. Jaramillo and C. O. Lousto, ArXiv e-prints(2010), arXiv:1008.2001 [gr-qc]
2001
Earlier work this paper cites.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Lett. B 513
2001
Earlier work this paper cites.
H. Goldstein, C. P. Poole, and J. Safko, Classical Mechanics (Addison Wesley, 2001) ISBN 0-201-65702-3
2001
Earlier work this paper cites.
M. Nauenberg, Physics Letters A 292
2001
Cited alongside, same era.
M. C. Miller and D. P. Hamilton, The Astrophysical Journal 576
2002
Cited alongside, same era.
K. Gultekin, M. C. Miller, and D. P. Hamilton, AIP Conf. Proc. 686
2003
Cited alongside, same era.
M. Milosavljević and D. Merritt, AIP Conference Proceedings 686
2003
Cited alongside, same era.
N. J. Cornish and J. Levin, Phys. Rev. D 68
2003
Cited alongside, same era.
J. D. Barrow and J. Levin(Mar. 2003), arXiv:nlin/0303070 [nlin.CD]
2003
Cited alongside, same era.
P. Diener, Class. Quantum Grav. 20
2003
2008
Later among the works it cites.
T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D 77
2008
Later among the works it cites.
J. Steinhoff, S. Hergt, and G. Schäfer, Phys. Rev. D 77
2008
Later among the works it cites.
C. O. Lousto and H. Nakano, Class. Quantum Grav. 25
2008
Later among the works it cites.
M. Campanelli, C. O. Lousto, and Y. Zlochower, Phys. Rev. D77
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
X. Wu and T.-Y. Huang, Physics Letters A 313
2003
Cited alongside, same era.
W. Tichy, B. Brügmann, M. Campanelli, and P. Diener, Phys. Rev. D 67
2003
Cited alongside, same era.
K. Gultekin, M. C. Miller, and D. P. Hamilton, The Astrophysical Journal 616
2004
Cited alongside, same era.
A. Gualandris, S. Portegies Zwart, and M. S. Sipior, Mon. Not. R. Astron. Soc. 363
2005
Cited alongside, same era.
A. Gopakumar and C. Königsdörffer, Phys. Rev. D 72
2005
Cited alongside, same era.
C. O. Lousto and Y. Zlochower, Phys. Rev. D77
2008
Later among the works it cites.
X. Wu and Y. Xie, Phys. Rev. D 77
2008
Later among the works it cites.
Wolfram Research, Inc., Mathematica , version 7.0 ed. (Wolfram Research, Inc., 2008)
2008
Later among the works it cites.
C. Moore and M. Nauenberg, ArXiv e-prints(2008), arXiv:math/0511219v2
2008
Later among the works it cites.
S. Husa, M. Hannam, J. A. González, U. Sperhake, and B. Brügmann, Phys. Rev. D77
2008
Later among the works it cites.
R. Mardling, in The Cambridge N-Body Lectures , Lecture Notes in Physics, Vol. 760, edited by S. Aarseth, C. Tout, and R. Mardling (Springer Berlin / Heidelberg, 2008) pp. 59–96, 10.1007/978-1-4020-8431-7_3, http://dx.doi.org/10.1007/978-1-4020-8431-7_3
2008
Later among the works it cites.
M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, and F. Rossi, GNU Scientific Library Reference Manual , 3rd ed. (Network Theory Ltd., 2009) ISBN 0954612078
2009
Later among the works it cites.
B. Walther, B. Brügmann, and D. Müller, Phys. Rev. D79
2009
Later among the works it cites.
P. Amaro-Seoane and M. Dewi Freitag, ArXiv e-prints(2010), arXiv:1009.1870 [astro-ph.CO]
2010
Later among the works it cites.
J. Levin and H. Contreras, ArXiv e-prints(Sep. 2010), arXiv:1009.2533 [gr-qc]
2010
Later among the works it cites.
N. Seto and T. Muto, Phys. Rev. D 81
2010
Later among the works it cites.
N. Stone and A. Loeb, ArXiv e-prints(2010), arXiv:1004.4833 [astro-ph.CO] %%CITATION = 1004.4833;%%
2010
Later among the works it cites.
K. Yamada and H. Asada, Phys. Rev. D 82
2010
Later among the works it cites.
T. Ichita, K. Yamada, and H. Asada, ArXiv e-prints(2010), arXiv:1011.3886 [gr-qc]
2010
Later among the works it cites.
J. D. Schnittman, ArXiv e-prints(2010), arXiv:1006.0182 [astro-ph.HE]
2010
Later among the works it cites.
P. Galaviz, B. Brügmann, and Z. Cao, Phys. Rev. D 82
2010
Later among the works it cites.
M. Ponce, C. Lousto, and Y. Zlochower, ArXiv e-prints(2010), arXiv:1008.2761 [gr-qc]
2010
Later among the works it cites.
N. Seto and T. Muto, ArXiv e-prints(2011), arXiv:1105.1845 [astro-ph.CO]
2011
Closest in time.
X. Chen, A. Sesana, P. Madau, and F. K. Liu, Astrophys. J 729
2011
Closest in time.
J. Hartung and J. Steinhoff, Phys. Rev. D 83
2011
Closest in time.
P. Galaviz and B. Brügmann, Phys. Rev. D 83
2011
Closest in time.