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The three-body problem, which describes three masses interacting through Newtonian gravity without any restrictions imposed on the initial positions and velocities of these masses, has attracted the attention of many scientists for more than 300 years.
Sur les courbes définies par des équations différentielles
I. Bendixson · 1901
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Sopra alcuni criteri di instabilitá
T. Levi-Civita · 1901
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Traiettorie singolari ed urti nel problema ristretto dei tre corpi
T. Levi-Civita · 1903
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Sur le probléme des trois corps. trajectoires le long desquelles deux au moins des trois corps se choquent. conditions qui entrainent un choc
G. Bisconcini · 1906
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Probléme général de la stabilité du mouvement
A.M. Lyapunov · 1907
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Recherches sur le probléme des trois corps
K.F. Sundman · 1907
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On certain families of periodic orbits
G. Darwin · 1909
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Nouvelles recherches sur le probléme des trois corps
K.F. Sundman · 1909
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Quelques théoremes sur la mouvement des systémes dynamiques
G. Birkhoff · 1912
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Mémoiresur le probléme des trois corps
K.F. Sundman · 1912
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Proof of poincaré’s geometric theorem
G. Birkhoff · 1913
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The restricted problem of three bodies
G. Birkhoff · 1915
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Sur la régularisation du probléme des trois corps
T. Levi-Civita · 1918
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Recent advances in dynamics
G. Birkhoff · 1920
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Periodic orbits
F. R. Moulton, D. Buchanan, T. Buck, F. L. Griffin, W. R. Longley, and W. D. MacMillan · 1920
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Two Offprints on the Three Body Problem: 1) Forms of Periodic Motion in the Restricted Problem and in the General Problem of Three Bodies, According to Researches Executed at the Observatory of Copenhagen (E. Strömgren); 2) On the Periodic Orbits in the Neighborhood of the Triangular Equilibrium Points in the Restricted Problem Three Bodies (P. Petersen)
E. Strömgren and P. Pedersen · 1922
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Connaissance actuelle des orbites dans le probléme des trois corps
E. Strömgren · 1935
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A Treatise on The Analytical Dynamics of Particles and Rigid Bodies with an Introduction to the Problem of Three Bodies
E.T. Whittaker · 1937
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The gravitational equations and the problem of motion
A. Einstein, L. Infeld, and B. Hoffmann · 1938
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Der dreierstoss
C.L. Siegel · 1941
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The analytical foundations of celestial mechanics
A. Wintner · 1941
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On conservation of conditionally periodic motions under small perturbations of the hamiltonian
A.N. Kolmogorov · 1954
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Equations of motion in general relativity theory and the action principle
L. Infel · 1957
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Secular perturbations of asteroids with high inclination and eccentricity
Y. Kozai · 1962
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The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies
M. L. Lidov · 1962
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On invariant curves of area-preserving mappings of an annulus
J. Moser · 1962
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Proof of a theorem of a. n. kolmogorov on the invariance of quasi-periodic motions under small perturbations of the hamiltonian
V. I. Arnold · 1963
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Stability of triangular points in the elliptic restricted problem of three-bodies
J. M. A. Danby · 1964
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Characteristic exponents of the five equilibrium solutions in the elliptically restricted problem
A. Bennett · 1965
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Exploration numérique du problème restreint
M. Hénon · 1965
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Perturbation theory of keplerian motion based on spinor regularization
P. Kustaanheimo and E. Stiefel · 1965
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Mathematical introduction to celestial mechanics
H. Pollard · 1966
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Regularization of the two body problem
C. A. Burdet · 1967
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Integrals of motion in the elliptic restricted three-body problem
G. Contopoulos · 1967
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Restricted three-body problem in the post newtonian approximation
E. Krefetz · 1967
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Theory of Orbits: The Restricted Problem of Three Bodies
V. Szebehely · 1967
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Concerning the genealogy of long period families at l 4 l_{4}
J. Henrard · 1970
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Periodic solutions in the commensurable three-body problem
A. T. Sinclair · 1970
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Sufficient conditions for escape in the three-body problem
E. M. Standish, Jr · 1971
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Relativistic Celestial Mechanics
V. A. Brumberg · 1972
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Sufficient conditions for return in the three-body problem
E. M. Standish, Jr · 1972
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A note on relative motion in the general three-body problem
R. Broucke and H. Lass · 1973
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Regularization using a time-transformation only
D. C. Heggie · 1973
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Proof of a conjecture of e. strömgren
J. Henrard · 1973
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Periodic solutions of the restricted three-body problem that are analytical continuation of keplerian rectilinear periodic motions
I.V. Kurcheeva · 1973
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Families of periodic orbits in the three-body problem
M. Hénon · 1974
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Triple collision in the collinear three-body problem
R. McGehee · 1974
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Families of periodic orbits in the planar three-body problem
J. D. Hadjidemetriou and T. Christides · 1975
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Kolmogorov entropy and numerical experiments
G. Benettin, L. Galgani, and J.-M. Strelcyn · 1976
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On the continuation of periodic orbits from the restricted to the general three-body problem
G. Bozis and J. D. Hadjidemetriou · 1976
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The relativistic three-body problem
G. Contopoulos · 1976
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Redundant variables for ’global’ regularization of the three-body problem
D. C. Heggie · 1976
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The three-body problem near triple collisions
J. Waldvogel · 1976
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Libration points in the generalised elliptic restricted three-body problem
R. K Choudhry · 1977
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Asymmetric periodic orbits of the restricted problem in three dimensions
C.G. Zagouras and V.V. Markellos · 1977
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Continuation of periodic orbits - three-dimensional circular restricted to the general three-body problem
K. Katopodis · 1979
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Himmelsmechanik
M. Schneider · 1979
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Three-dimensional periodic oscillations generating from plane periodic ones around the collinear lagrange points
C.G. Zagouras and P.G. Kazantzis · 1979
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Lyapunov characteristic exponents for smooth dynamical systems and for hamiltonian systems - a method for computing all of them. i - theory. ii - numerical application
G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn · 1980
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Elliptic hill’s problem: the continuation of periodic orbits
S. Ichtiaroglou · 1980
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The three-dimensional general three-body problem - determination of periodic orbits
V. V. Markellos · 1980
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The variational equation of the three-body problem
J. Waldvogel · 1980
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The lyapunov chracteristic exponents as indicators of stochasticity in the restricted three-body problem
R. Gonczi and C. Froeschle · 1981
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Elliptic hill’s problem: families of periodic orbits
S. Ichtiaroglou · 1981
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Bifurcations of planar to three-dimensional periodic orbits in the general three-body problem
V. V. Markellos · 1981
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Planetary orbits in double star systems
R. Dvorak · 1982
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Integrals of motion in the elliptic three-dimensional restricted three-body problem
E. Sarris · 1982
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Families of periodic collision orbits in the general three-body problem
P. Delibaltas · 1983
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Stability in the restricted problem of three bodies with liapounov characteristic numbers
W. H. Jefferys and Z.-H. Yi · 1983
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On topological stability in the general three-body problem
A. Milani and A. M. Nobili · 1983
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Integration of the elliptic restricted three-body problem with lie series
M. Delva · 1984
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Numerical experiments on planetary orbits in double stars
R. Dvorak · 1984
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On the dynamics of the relativistic restricted three-body problem
T. I. Mandl and R. Dvorak · 1984
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Three-dimensional periodic solutions around equilibrium points in hill’s problem
C.G. Zagouras and V.V. Markellos · 1985
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Zero velocity hypersurfaces for the general three-dimensional three-body problem
R. Sergysels · 1986
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Nonlinear Dynamics Chaos
J. M.T. Thompson and H.B. Stewart · 1986
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Fundamentals of celestial mechanics
J. M. A. Danby · 1988
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Satellite-type planetary orbits in double stars - a numerical approach
G. Rabl and R. Dvorak · 1988
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Stability of outer planetary orbits (p-types) in binaries
R. Dvorak, C. Froeschle, and C. Froeschle · 1989
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On construction of analytic solutions to the three body problem by use of computer experiments
M. J. Valtonen, S. Mikkola, and T. Y. Huang · 1989
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Poincaré, celestial mechanics, dynamical-systems theory and chaos
P. Holmes · 1990
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On the elliptic restricted three-body problem
J. Llibre and C. Pinol · 1990
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The three-body problem , volume 4
C. Marchal · 1990
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Periodic solutions for the elliptic planar restricted three-body problem: a variational approach
M. L. Bertotti · 1991
Cited alongside, same era.
Essential Relativistic Celestial Mechanics
V. A. Brumberg · 1991
Cited alongside, same era.
Stability zones around the triangular Lagrangian points
R. Dvorak and E. Lohinger · 1991
Cited alongside, same era.
Remarkable termination orbits of the restricted problem
V. V. Markellos · 1991
Cited alongside, same era.
Three-dimensional bifurcations of periodic solutions around triangular equilibrium points of the restricted three-body problem
E. Perdios, C.G. Zagouras, and O. Ragos · 1991
Cited alongside, same era.
Lectures on Celestial Mechanics
C.L. Siegel and J.K. Moser · 1991
Cited alongside, same era.
New periodic solutions for 3-body problems
S. Zhang, Q. Zhou, and Y. Liu · 2004
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On detecting terrestrial planets with timing of giant planet transits
E. Agol, J. Steffen, R. Sari, and W. Clarkson · 2005
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Methods of Celestial Mechanics , volume I
G. Beutler · 2005
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Second species periodic orbits of the elliptic 3 body problem
S. Bolotin · 2005
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The use of transit timing to detect terrestrial-mass extrasolar planets
M. J. Holman and N. W. Murray · 2005
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Prospects for habitable “earths” in known exoplanetary systems
B. W. Jones, D. R. Underwood, and P. N. Sleep · 2005
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The elliptic restricted three-body problem at 3:1 resonance
J. D. Hadjidemetriou · 1992
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Numerical recipes in FORTRAN. The art of scientific computing
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery · 1992
Cited alongside, same era.
Symplectic integrators for solar system dynamics
P. Saha and S. Tremaine · 1992
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Symplectic maps for the n-body problem - stability analysis
J. Wisdom and M. Holman · 1992
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Dynamics of systems of two close planets
B. Gladman · 1993
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Habitable zones around main sequence stars
J. F. Kasting, D. P. Whitmire, and R. T. Reynolds · 1993
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A software package for the numerical integration of odes by means of high-order taylor methods
Ángel Jorba and Maorong Zou · 2005
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Stability of planetary orbits in binary systems
Z. E. Musielak, M. Cuntz, E. A. Marshall, and T. D. Stuit · 2005
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Orbital motion
A. E. Roy · 2005
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On the stability of the triangular lagrangian equilibrium points in the relativistic restricted three-body problem
M. K. Ahmed, F. A. Abd El-Salam, and S. E. Abd El-Bar · 2006
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Stability limits in extrasolar planetary systems
R. Barnes and R. Greenberg · 2006
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On the figure-8 periodic solutions in the three-body problem
R. Broucke, A. Elipe, and A. Riaguas · 2006
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A common mass scaling for satellite systems of gaseous planets
R. M. Canup and W. R. Ward · 2006
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General Relativity, An Introduction for Physicists
M. P. Hobson, G. Efstathiou, and A. N. Lasenby · 2006
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Stability of hamiltonian systems with three degrees of freedom and the three body-problem
J.E. Mansilla · 2006
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From the circular to the spatial elliptic restricted three-body problem
J. F. Palacián and P. Yanguas · 2006
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Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging
J. F. Palacián, P. Yanguas, S. Fernández, and M. A. Nicotra · 2006
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The Three-Body Problem
M. Valtonen and H. Karttunen · 2006
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Stringent criteria for stable and unstable planetary orbits in stellar binary systems
M. Cuntz, J. Eberle, and Z. E. Musielak · 2007
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Shrinking binary and planetary orbits by kozai cycles with tidal friction
D. Fabrycky and S. Tremaine · 2007
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Choreographic solution to the general-relativistic three-body problem
T. Imai, T. Chiba, and H. Asada · 2007
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Trends in 20th century celestial mechanics
T. Ito and K. Tanikawa · 2007
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The instability transition for the restricted 3-body problem. i. theoretical approach
J. Eberle, M. Cuntz, and Z. E. Musielak · 2008
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Three-body equations in successive post-newtonian approximation
C. O. Lousto and H. Nakano · 2008
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Resonance, chaos and stability: The three-body problem in astrophysics
R. A. Mardling · 2008
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Planets in Double Stars , page 179
E. Pilat-Lohinger and R. Dvorak · 2008
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About the hill stability of extrasolar planets in stellar binary systems
F. Szenkovits and Z. Makó · 2008
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On the validity of the ”hill radius criterion” for the ejection of planets from stellar habitable zones
M. Cuntz and K. E. Yeager · 2009
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Stability of inclined orbits of terrestrial planets in habitable zones
B. Funk, R. Schwarz, E. Pilat-Lohinger, Á. Süli, and R. Dvorak · 2009
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Transit timing effects due to an exomoon
D. M. Kipping · 2009
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Secular dynamics of a coplanar, non-resonant planetary system under the general relativity and quadrupole moment perturbations
C. Migaszewski and K. Goździewski · 2009
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High-dimensional chaos in dissipative and driven dynamical systems
Z. E. Musielak and D. E. Musielak · 2009
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Stability of circular orbits in general relativity: a phase space analysis
A. Palit, A. Panchenko, N. G. Migranov, A. Bhadra, and K. K. Nandi · 2009
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Dynamical habitability of planetary systems
R. Dvorak, E. Pilat-Lohinger, E. Bois, R. Schwarz, B. Funk, C. Beichman, W. Danchi, C. Eiroa, M. Fridlund, T. Henning, T. Herbst, L. Kaltenegger, H. Lammer, A. Léger, R. Liseau, J. Lunine, F. Paresce, A. Penny, A. Quirrenbach, H. Röttgering, F. Selsis, J. Schneider, D. Stam, G. Tinetti, and G. J. White · 2010
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Selected studies of orbital stability and habitability in star-planet systems
W. J. Eberle · 2010
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Planetary Dynamics and Habitable Planet Formation in Binary Star Systems , volume 366 of Astrophysics and Space Science Library , page 285
N. Haghighipour, R. Dvorak, and E. Pilat-Lohinger · 2010
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Application of the megno technique to the dynamics of jovian irregular satellites
T. C. Hinse, A. A. Christou, J. L. A. Alvarellos, and K. Goździewski · 2010
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Kepler-9: A system of multiple planets transiting a sun-like star, confirmed by timing variations
M. J. Holman, D. C. Fabrycky, D. Ragozzine, E. B. Ford, J. H. Steffen, W. F. Welsh, J. J. Lissauer, D. W. Latham, G. W. Marcy, L. M. Walkowicz, N. M. Batalha, J. M. Jenkins, J. F. Rowe, W. D. Cochran, F. Fressin, G. Torres, L. A. Buchhave, D. D. Sasselov, W. J. Borucki, D. G. Koch, G. Basri, T. M. Brown, D. A. Caldwell, D. Charbonneau, E. W. Dunham, T. N. Gautier, J. C. Geary, R. L. Gilliland, M. R. Haas, S. B. Howell, D. R. Ciardi, M. Endl, D. Fischer, G. Fürész, J. D. Hartman, H. Isaacson, J. A. Johnson, P. J. MacQueen, A. V. Moorhead, R. C. Morehead, and J. A. Orosz · 2010
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Stability analysis of single-planet systems and their habitable zones
R. K. Kopparapu and R. Barnes · 2010
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Dynamical stability of extra-solar planets
E. Pilat-Lohinger and B. Funk · 2010
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Koi-126: A triply eclipsing hierarchical triple with two low-mass stars
J. A. Carter, D. C. Fabrycky, D. Ragozzine, M. J. Holman, S. N. Quinn, D. W. Latham, L. A. Buchhave, J. Van Cleve, W. D. Cochran, M. T. Cote, M. Endl, E. B. Ford, M. R. Haas, J. M. Jenkins, D. G. Koch, J. Li, J. J. Lissauer, P. J. MacQueen, C. K. Middour, J. A. Orosz, J. F. Rowe, J. H. Steffen, and W. F. Welsh · 2011
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Kepler-16: A transiting circumbinary planet
L. R. Doyle, J. A. Carter, D. C. Fabrycky, R. W. Slawson, S. B. Howell, J. N. Winn, J. A. Orosz, A. Prša, W. F. Welsh, S. N. Quinn, D. Latham, G. Torres, L. A. Buchhave, G. W. Marcy, J. J. Fortney, A. Shporer, E. B. Ford, J. J. Lissauer, D. Ragozzine, M. Rucker, N. Batalha, J. M. Jenkins, W. J. Borucki, D. Koch, C. K. Middour, J. R. Hall, S. McCauliff, M. N. Fanelli, E. V. Quintana, M. J. Holman, D. A. Caldwell, M. Still, R. P. Stefanik, W. R. Brown, G. A. Esquerdo, S. Tang, G. Furesz, J. C. Geary, P. Berlind, M. L. Calkins, D. R. Short, J. H. Steffen, D. Sasselov, E. W. Dunham, W. D. Cochran, A. Boss, M. R. Haas, D. Buzasi, and D. Fischer · 2011
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Post-newtonian effects on lagrange’s equilateral triangular solution for the three-body problem
T. Ichita, K. Yamada, and H. Asada · 2011
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Relativistic Celestial Mechanics of the Solar System
S. Kopeikin, M. Efroimsky, and G. Kaplan · 2011
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Location of collinear equilibrium points in the generalized photogravitational elliptic restricted three-body problem
S. Kumar and B. Ishwar · 2011
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A closely packed system of low-mass, low-density planets transiting kepler-11
J. J. Lissauer, D. C. Fabrycky, E. B. Ford, W. J. Borucki, F. Fressin, G. W. Marcy, J. A. Orosz, J. F. Rowe, G. Torres, W. F. Welsh, N. M. Batalha, S. T. Bryson, L. A. Buchhave, D. A. Caldwell, J. A. Carter, D. Charbonneau, J. L. Christiansen, W. D. Cochran, J.-M. Desert, E. W. Dunham, M. N. Fanelli, J. J. Fortney, T. N. Gautier, III, J. C. Geary, R. L. Gilliland, M. R. Haas, J. R. Hall, M. J. Holman, D. G. Koch, D. W. Latham, E. Lopez, S. McCauliff, N. Miller, R. C. Morehead, E. V. Quintana, D. Ragozzine, D. Sasselov, D. R. Short, and J. H. Steffen · 2011
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Analytical relation between two chaos indicators: Fli and megno
M. F. Mestre, P. M. Cincotta, and C. M. Giordano · 2011
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The instability transition for the restricted 3-body problem. iii. the lyapunov exponent criterion
B. Quarles, J. Eberle, Z. E. Musielak, and M. Cuntz · 2011
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Exoplanet Transits and Occultations , pages 55–77
J. N. Winn · 2011
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Periodic orbits under combined effects of oblateness and radiation in the restricted problem of three bodies
E. I. Abouelmagd and S. M. El-Shaboury · 2012
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Kepler-36: A pair of planets with neighboring orbits and dissimilar densities
J. A. Carter, E. Agol, W. J. Chaplin, S. Basu, T. R. Bedding, L. A. Buchhave, J. Christensen-Dalsgaard, K. M. Deck, Y. Elsworth, D. C. Fabrycky, E. B. Ford, J. J. Fortney, S. J. Hale, R. Handberg, S. Hekker, M. J. Holman, D. Huber, C. Karoff, S. D. Kawaler, H. Kjeldsen, J. J. Lissauer, E. D. Lopez, M. N. Lund, M. Lundkvist, T. S. Metcalfe, A. Miglio, L. A. Rogers, D. Stello, W. J. Borucki, S. Bryson, J. L. Christiansen, W. D. Cochran, J. C. Geary, R. L. Gilliland, M. R. Haas, J. Hall, A. W. Howard, J. M. Jenkins, T. Klaus, D. G. Koch, D. W. Latham, P. J. MacQueen, D. Sasselov, J. H. Steffen, J. D. Twicken, and J. N. Winn · 2012
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An analytic method to determine habitable zones for s-type planetary orbits in binary star systems
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Planet occurrence within 0.25 au of solar-type stars from kepler
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The hunt for exomoons with kepler (hek). i. description of a new observational project
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Multiple poincaré sections method for finding the quasiperiodic orbits of the restricted three-body problem
E. Koleman, N.J. Kasdin, and P. Gurfil · 2012
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Circumbinary planet formation in the kepler-16 system. i. n-body simulations
S. Meschiari · 2012
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A dynamical analysis of the kepler-11 planetary system
C. Migaszewski, M. Słonina, and K. Goździewski · 2012
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The detection and characterization of a nontransiting planet by transit timing variations
D. Nesvorný, D. M. Kipping, L. A. Buchhave, G. Á. Bakos, J. Hartman, and A. R. Schmitt · 2012
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How not to build tatooine: The difficulty of in situ formation of circumbinary planets kepler 16b, kepler 34b, and kepler 35b
S.-J. Paardekooper, Z. M. Leinhardt, P. Thébault, and C. Baruteau · 2012
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Light-curve modelling for mutual transits
A. Pál · 2012
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Formation of the widest binary stars from dynamical unfolding of triple systems
B. Reipurth and S. Mikkola · 2012
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Numerical study of the three-dimensional transit orbits in the circular restricted three-body problem
Y. Ren and J. Shan · 2012
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Motion in the photogravitational elliptic restricted three-body problem under an oblate primary
J. Singh and A. Umar · 2012
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The dynamics of the elliptic hill problem: periodic orbits and stability regions
G. Voyatzis, I. Gkolias, and H. Varvoglis · 2012
Later among the works it cites.
Triangular solution to general relativistic three-body problem for general masses
K. Yamada and H. Asada · 2012
Later among the works it cites.
The effects of oblateness in the perturbed restrictive three-body problem
E. I. Abouelmagd, H. M. Asiri, and M. A. Sharaf · 2013
Later among the works it cites.
On the possibility of habitable moons in the system of hd 23079: Results from orbital stability studies
M. Cuntz, B. Quarles, J. Eberle, and A. Shukayr · 2013
Later among the works it cites.
The false positive rate of kepler and the occurrence of planets
F. Fressin, G. Torres, D. Charbonneau, S. T. Bryson, J. Christiansen, C. D. Dressing, J. M. Jenkins, L. M. Walkowicz, and N. M. Batalha · 2013
Later among the works it cites.
Testing a hypothesis of the ν \nu octantis planetary system
K. Goździewski, M. Słonina, C. Migaszewski, and A. Rozenkiewicz · 2013
Later among the works it cites.
Calculating the habitable zone of binary star systems. ii. p-type binaries
N. Haghighipour and L. Kaltenegger · 2013
Later among the works it cites.
Calculating the habitable zone of binary star systems. i. s-type binaries
L. Kaltenegger and N. Haghighipour · 2013
Later among the works it cites.
On the habitable zones of circumbinary planetary systems
S. R. Kane and N. R. Hinkel · 2013
Later among the works it cites.
Koi-142, the king of transit variations, is a pair of planets near the 2:1 resonance
D. Nesvorný, D. Kipping, D. Terrell, J. Hartman, G. Á. Bakos, and L. A. Buchhave · 2013
Later among the works it cites.
The contribution of secondary eclipses as astrophysical false positives to exoplanet transit surveys
A. Santerne, F. Fressin, R. F. Díaz, P. Figueira, J.-M. Almenara, and N. C. Santos · 2013
Later among the works it cites.
Application of chaos indicators in the study of dynamics of s-type extrasolar planets in stellar binaries
S. Satyal, B. Quarles, and T. C. Hinse · 2013
Later among the works it cites.
Numerical search for periodic solutions in the vicinity of the figure-eight orbit: Slaloming around singularities on the shape sphere
M. Šuvakov · 2013
Later among the works it cites.
Three classes of newtonian three-body planar periodic orbits
M. Šuvakov and V. Dmitrašinović · 2013
Later among the works it cites.
S-type and p-type habitability in stellar binary systems: A comprehensive approach. i. method and applications
M. Cuntz · 2014
Later among the works it cites.
Ttvfast: An efficient and accurate code for transit timing inversion problems
K. M. Deck, E. Agol, M. J. Holman, and D. Nesvorný · 2014
Later among the works it cites.
Overstable librations can account for the paucity of mean motion resonances among exoplanet pairs
P. Goldreich and H. E. Schlichting · 2014
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Validation of Kepler’s Multiple Planet Candidates. II. Refined Statistical Framework and Descriptions of Systems of Special Interest
J. J. Lissauer, G. W. Marcy, S. T. Bryson, J. F. Rowe, D. Jontof-Hutter, E. Agol, W. J. Borucki, J. A. Carter, E. B. Ford, R. L. Gilliland, R. Kolbl, K. M. Star, J. H. Steffen, and G. Torres · 2014
Later among the works it cites.
Validation of Kepler’s Multiple Planet Candidates. III. Light Curve Analysis and Announcement of Hundreds of New Multi-planet Systems
J. F. Rowe, S. T. Bryson, G. W. Marcy, J. J. Lissauer, D. Jontof-Hutter, F. Mullally, R. L. Gilliland, H. Issacson, E. Ford, S. B. Howell, W. J. Borucki, M. Haas, D. Huber, J. H. Steffen, S. E. Thompson, E. Quintana, T. Barclay, M. Still, J. Fortney, T. N. Gautier, III, R. Hunter, D. A. Caldwell, D. R. Ciardi, E. Devore, W. Cochran, J. Jenkins, E. Agol, J. A. Carter, and J. Geary · 2014
Later among the works it cites.