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The secular approximation for the evolution of hierarchical triple configurations has proven to be very useful in many astrophysical contexts, from planetary to triple-star systems.
The Kozai Mechanism and the Stability of Planetary Orbits in Binary Star Systems
Innanen, K. A., Zheng, J. Q., Mikkola, S., and Valtonen, M. J. (1997) · 1915
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Classical mechanics
Goldstein, H. (1950) · 1950
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Solution of the problem of artificial satellite theory without drag
Brouwer, D. (1959) · 1959
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Secular perturbations of asteroids with high inclination and eccentricity
Kozai, Y. (1962) · 1962
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The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies
Lidov, M. L. (1962) · 1962
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Quasi-periodic Solutions for the three-body problem
Jefferys, W. H. and Moser, J. (1966) · 1966
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The superorbital variability and triple nature of the X-ray source 4U 1820-303
Zdziarski, A. A., Wen, L., and Gierliński, M. (2007) · 1966
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Dynamical evolution of triple stars
Harrington, R. S. (1968) · 1968
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The Stellar Three-Body Problem
Harrington, R. S. (1969) · 1969
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The Analysis of Restricted Circular Twice-averaged Three Body Problem in the Case of Close Orbits
Lidov, M. L. and Ziglin, S. L. (1974) · 1974
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The three-body problem and eclipsing binaries - Application to algol and lambda Tauri
Söderhjelm, S. (1975) · 1975
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Non-restricted double-averaged three body problem in Hill’s case
Lidov, M. L. and Ziglin, S. L. (1976) · 1976
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Secular perturbations of asteroids and comets
Kozai, Y. (1979) · 1979
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The orbital evolution of close triple systems - The binary eccentricity
Mazeh, T. and Shaham, J. (1979) · 1979
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Studies of the stellar three-body problem
Söderhjelm, S. (1982) · 1982
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On the double averaged three-body problem
Sidlichovsky, M. (1983) · 1983
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Third-order and tidal effects in the stellar three-body problem
Söderhjelm, S. (1984) · 1984
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On the tidal interaction between protoplanets and the protoplanetary disk. III - Orbital migration of protoplanets
Lin, D. N. C. and Papaloizou, J. (1986) · 1986
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Timing measurements of the binary millisecond pulsar in the globular cluster M4
McKenna, J. and Lyne, A. G. (1988) · 1988
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The three-body problem
Marchal, C. (1990) · 1990
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Planetary perturbations and the origins of short-period comets
Quinn, T., Tremaine, S., and Duncan, M. (1990) · 1990
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Secular perturbations of fictitious satellites of Uranus
Kinoshita, H. and Nakai, H. (1991) · 1991
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Symplectic maps for the n-body problem
Wisdom, J. and Holman, M. (1991) · 1991
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Origin of sungrazers - A frequent cometary end-state
Bailey, M. E., Chambers, J. E., and Hahn, G. (1992) · 1992
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The triple symbiotic system CH Cygni
Hinkle, K. H., Fekel, F. C., Johnson, D. S., and Scharlach, W. W. G. (1993) · 1993
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VLBI astrometric identification of the radio emitting region in Algol and determination of the orientation of the close binary
Lestrade, J.-F., Phillips, R. B., Hodges, M. W., and Preston, R. A. (1993) · 1993
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The effect of eccentricity on three-body orbital stability criteria and its importance for triple star systems
Donnison, J. R. and Mikulskis, D. F. (1995) · 1995
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The Kozai Resonance in the Outer Solar System and the Dynamics of Long-Period Comets
Thomas, F. and Morbidelli, A. (1996) · 1996
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Mercury - A New Software Package for Orbital Integrations
Chambers, J. E. and Migliorini, F. (1997) · 1997
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Chaotic variations in the eccentricity of the planet orbiting 16 Cygni B
Holman, M., Touma, J., and Tremaine, S. (1997) · 1997
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On the multiplicity of spectroscopic binary stars
Tokovinin, A. A. (1997) · 1997
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The Equilibrium Tide Model for Tidal Friction
Eggleton, P. P., Kiseleva, L. G., and Hut, P. (1998) · 1998
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Tidal friction in triple stars
Kiseleva, L. G., Eggleton, P. P., and Mikkola, S. (1998) · 1998
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Does Kozai Resonance Drive CH Cygni?
Mikkola, S. and Tanikawa, K. (1998) · 1998
Cited alongside, same era.
IUE high-resolution observations of the symbiotic star CHCygni: confirmation of the triple-star model
Skopal, A., Bode, M. F., Lloyd, H. M., and Drechsel, H. (1998) · 1998
Cited alongside, same era.
Analytical Solution of the Kozai Resonance and its Application
Kinoshita, H. and Nakai, H. (1999) · 1999
Cited alongside, same era.
Hot Jupiters in Binary Star Systems
Wu, Y., Murray, N. W., and Ramsahai, J. M. (2007) · 2007
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Dynamical Outcomes of Planet-Planet Scattering
Chatterjee, S., Ford, E. B., Matsumura, S., and Rasio, F. A. (2008) · 2008
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Formation of Hot Planets by a Combination of Planet Scattering, Tidal Circularization, and the Kozai Mechanism
Nagasawa, M., Ida, S., and Bessho, T. (2008) · 2008
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Planetary Systems in Binaries. I. Dynamical Classification
Takeda, G., Kita, R., and Rasio, F. A. (2008) · 2008
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Infrared Spectroscopy of Symbiotic Stars. VII. Binary Orbit and Long Secondary Period Variability of CH Cygni
Hinkle, K. H., Fekel, F. C., and Joyce, R. R. (2009) · 2009
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Explaining the Orbits of the Galactic Center S-Stars
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Studies of multiple stellar systems - II. Second-order averaged Hamiltonian to follow long-term orbital modulations of hierarchical triple systems
Krymolowski, Y. and Mazeh, T. (1999) · 1999
Cited alongside, same era.
Evolution of the orbits of distant satellites of Uranus
Vashkov’yak, M. A. (1999) · 1999
Cited alongside, same era.
Solar System Dynamics
Murray, C. D. and Dermott, S. F. (2000) · 2000
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Orbital Evolution in Binary and Triple Stars, with an Application to SS Lacertae
Eggleton, P. P. and Kiseleva-Eggleton, L. (2001) · 2001
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The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
Blaes, O., Lee, M. H., and Socrates, A. (2002) · 2002
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On the Inclination Distribution of the Jovian Irregular Satellites
Carruba, V., Burns, J. A., Nicholson, P. D., and Gladman, B. J. (2002) · 2002
Cited alongside, same era.
Merritt, D., Gualandris, A., and Mikkola, S. (2009) · 2009
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On the Triple Origin of Blue Stragglers
Perets, H. B. and Fabrycky, D. C. (2009) · 2009
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Kozai Cycles, Tidal Friction, and the Dynamical Evolution of Binary Minor Planets
Perets, H. B. and Naoz, S. (2009) · 2009
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High-inclination orbits in the secular quadrupolar three-body problem
Farago, F. and Laskar, J. (2010) · 2010
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Formation of Black Hole X-ray Binaries in Globular Clusters
Ivanova, N., Chaichenets, S., Fregeau, J., Heinke, C. O., Lombardi, J. C., and Woods, T. E. (2010) · 2010
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Evolution of Spin Direction of Accreting Magnetic Protostars and Spin-Orbit Misalignment in Exoplanetary Systems
Lai, D., Foucart, F., and Lin, D. N. C. (2010) · 2010
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Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations
Laskar, J. and Boué, G. (2010) · 2010
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The determination of planetary structure in tidally relaxed inclined systems
Mardling, R. A. (2010) · 2010
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The Observed Orbital Properties of Binary Minor Planets
Naoz, S., Perets, H. B., and Ragozzine, D. (2010) · 2010
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Spin-orbit angle measurements for six southern transiting planets. New insights into the dynamical origins of hot Jupiters
Triaud, A. H. M. J., Collier Cameron, A., Queloz, D., Anderson, D. R., Gillon, M., Hebb, L., Hellier, C., Loeillet, B., Maxted, P. F. L., Mayor, M., Pepe, F., Pollacco, D., Ségransan, D., Smalley, B., Udry, S., West, R. G., and Wheatley, P. J. (2010) · 2010
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Secular Orbital Dynamics of Hierarchical Two-planet Systems
Veras, D. and Ford, E. B. (2010) · 2010
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Tidal evolution of hierarchical and inclined systems
Correia, A. C. M., Laskar, J., Farago, F., and Boué, G. (2011) · 2011
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The Impact of Triple Stars on the Formation of the NGC 188 Blue Stragglers
Geller, A. M., Hurley, J. R., and Mathieu, R. D. (2011) · 2011
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Five new and three improved mutual orbits of transneptunian binaries
Grundy, W. M., Noll, K. S., Nimmo, F., Roe, H. G., Buie, M. W., Porter, S. B., Benecchi, S. D., Stephens, D. C., Levison, H. F., and Stansberry, J. A. (2011) · 2011
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Exponential growth of eccentricity in secular theory
Katz, B. and Dong, S. (2011) · 2011
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Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber
Katz, B., Dong, S., and Malhotra, R. (2011) · 2011
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The Eccentric Kozai Mechanism for a Test Particle
Lithwick, Y. and Naoz, S. (2011) · 2011
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Hot Jupiters from secular planet-planet interactions
Naoz, S., Farr, W. M., Lithwick, Y., Rasio, F. A., and Teyssandier, J. (2011) · 2011
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A natural formation scenario for misaligned and short-period eccentric extrasolar planets
Thies, I., Kroupa, P., Goodwin, S. P., Stamatellos, D., and Whitworth, A. P. (2011) · 2011
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Accelerating Compact Object Mergers in Triple Systems with the Kozai Resonance: A Mechanism for ”Prompt” Type Ia Supernovae, Gamma-Ray Bursts, and Other Exotica
Thompson, T. A. (2011) · 2011
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Obliquities of Hot Jupiter host stars: Evidence for tidal interactions and primordial misalignments
Albrecht, S., Winn, J. N., Johnson, J. A., Howard, A. W., Marcy, G. W., Butler, R. P., Arriagada, P., Crane, J. D., Shectman, S. A., Thompson, I. B., Hirano, T., Bakos, G., and Hartman, J. D. (2012) · 2012
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Imaging the Algol Triple System in H Band with the CHARA Interferometer
Baron, F., Monnier, J. D., Pedretti, E., Zhao, M., Schaefer, G., Parks, R., Che, X., Thureau, N., ten Brummelaar, T. A., McAlister, H. A., Ridgway, S. T., Farrington, C., Sturmann, J., Sturmann, L., and Turner, N. (2012) · 2012
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Constraining the Planetary System of Fomalhaut Using High-resolution ALMA Observations
Boley, A. C., Payne, M. J., Corder, S., Dent, W. R. F., Ford, E. B., and Shabram, M. (2012) · 2012
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The Mass-Loss Induced Eccentric Kozai Mechanism: A New Channel for the Production of Close Compact Object-Stellar Binaries
Shappee, B. J. and Thompson, T. A. (2012) · 2012
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