@article{Horner2003, title = {The populations of comet-like bodies in the Solar system}, author = {Horner, J and Evans, NW and Bailey, ME and Asher, DJ}, journal = {Monthly Notices of the Royal Astronomical Society}, volume = {343}, number = {4}, pages = {1057--1066}, year = {2003}, publisher = {Blackwell Science Ltd Oxford, UK} }
@article{Barrabes2005, title = {Families of periodic horseshoe orbits in the restricted three-body problem}, author = {Barrab{\'e}s, E and Mikkola, S}, journal = {Astronomy \& Astrophysics}, volume = {432}, number = {3}, pages = {1115--1129}, year = {2005}, publisher = {EDP Sciences} }
@article{Grebow2006, title = {Generating periodic orbits in the circular restricted three-body problem with applications to lunar south pole coverage}, author = {Grebow, D}, journal = {MSAA Thesis, School of Aeronautics and Astronautics, Purdue University}, year = {2006} }
@article{Eggleton1983, author = {{Eggleton}, P.~P.}, title = {{Aproximations to the radii of Roche lobes.}}, journal = {\apj}, keywords = {Binary Stars, Celestial Mechanics, Orbital Elements, Roche Limit, Mass Ratios, Radii, Astrophysics}, year = {1983}, month = {May}, volume = {268}, pages = {368-369}, doi = {10.1086/160960}, adsurl = {https://ui.adsabs.harvard.edu/abs/1983ApJ...268..368E}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@book{Coriolis1835, title = {M{\'e}moire sur les {\'e}quations du mouvement relatif des syst{\`e}mes de corps}, author = {Coriolis, Gaspard Gustave}, year = {1835}, publisher = {Bachelier} }
@article{Gerkema2012, title = {A brief history of the Coriolis force}, author = {Gerkema, Theo and Gostiaux, Louis}, journal = {Europhysics News}, volume = {43}, number = {2}, pages = {14--17}, year = {2012}, publisher = {EDP Sciences} }
@article{Graney2011, title = {Coriolis effect, two centuries before Coriolis}, author = {Graney, Christopher M}, journal = {Physics Today}, volume = {64}, number = {8}, pages = {8}, year = {2011} }
@book{Murray1999, title = {Solar system dynamics}, author = {Murray, Carl D and Dermott, Stanley F}, year = {1999}, publisher = {Cambridge university press} }
@article{Burns1976Perturbations, title = {Elementary derivation of the perturbation equations of celestial mechanics}, author = {Burns, Joseph A}, journal = {American Journal of Physics}, volume = {44}, number = {10}, pages = {944--949}, year = {1976}, publisher = {AAPT} }
@article{Conway1986, author = {{Conway}, Bruce A.}, title = {{An Improved Algorithm due to Laguerre for the Solution of Kepler's Equation}}, journal = {Celestial Mechanics}, year = {1986}, month = {Jun}, volume = {39}, number = {2}, pages = {199-211}, doi = {10.1007/BF01230852}, adsurl = {https://ui.adsabs.harvard.edu/abs/1986CeMec..39..199C}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@article{Danby1992CelestialMechanics, title = {Fundamentals of celestial mechanics}, author = {Danby, John}, journal = {Richmond: Willman-Bell,| c1992, 2nd ed.}, year = {1992} }
@book{Portilla2019, title = {Principios de Mecánica Celeste}, author = {Portilla, José Gregorio}, year = {2019}, publisher = {Universidad Nacional de Colombia} }
@article{Colwell1993Kepler, title = {Solving Kepler's equation over three centuries}, author = {Colwell, Peter}, journal = {Richmond, Va.: Willmann-Bell, 1993.}, year = {1993} }
@article{Meire1985Barker, title = {An Efficient Method for Solving Barker's Equation}, author = {Meire, R}, journal = {Journal of the British Astronomical Association}, volume = {95}, pages = {113}, year = {1985} }
@book{Plummer1918, title = {An introductory treatise on dynamical astronomy}, author = {Plummer, Henry Crozier Keating}, year = {1918}, publisher = {University Press} }
@article{Fukushima1991Kepler, title = {A method solving Kepler's equation without transcendental function evaluations}, author = {Fukushima, Toshio}, journal = {Celestial Mechanics and Dynamical Astronomy}, volume = {66}, number = {3}, pages = {309--319}, year = {1996}, publisher = {Springer} }
@article{Nijenhuis1991Kepler, title = {Solving Kepler's equation with high efficiency and accuracy}, author = {Nijenhuis, Albert}, journal = {Celestial Mechanics and Dynamical Astronomy}, volume = {51}, number = {4}, pages = {319--330}, year = {1991}, publisher = {Springer} }
@article{Danby1983KeplerI, title = {The solution of Kepler's equation, I}, author = {Danby, JMA and Burkardt, TM}, journal = {Celestial Mechanics}, volume = {31}, number = {2}, pages = {95--107}, year = {1983}, publisher = {Springer} }
@article{Danby1983KeplerII, title = {The solution of Kepler's equation, II}, author = {Burkardt, TM and Danby, JMA}, journal = {Celestial Mechanics and Dynamical Astronomy}, volume = {31}, number = {3}, pages = {317--328}, year = {1983}, publisher = {Springer} }
@article{Danby1983KeplerIII, title = {The solution of Kepler's equation, III}, author = {Danby, JMA}, journal = {Celestial mechanics}, volume = {40}, number = {3-4}, pages = {303--312}, year = {1987}, publisher = {Springer} }
@article{Odell1986Kepler, title = {Procedures for solving Kepler's equation}, author = {Odell, AW and Gooding, RH}, journal = {Celestial mechanics}, volume = {38}, number = {4}, pages = {307--334}, year = {1986}, publisher = {Springer} }
@article{Badolati1985Kepler, title = {On the history of Kepler's equation}, author = {Badolati, Ennio}, journal = {Vistas in astronomy}, volume = {28}, pages = {343--345}, year = {1985}, publisher = {Elsevier} }
@book{Wintner2014, title = {The analytical foundations of celestial mechanics}, author = {Wintner, Aurel}, year = {1947}, publisher = {Dover} }
@book{Christianson1984Newton, title = {In the presence of the Creator: Isaac Newton and his times}, author = {Christianson, Gale E and Westfall, Richard S}, year = {1984}, publisher = {Free Press New York} }
@misc{Brannan1999Geometry, title = {Cambrige University Press}, author = {Brannan, DA and Esplen, MF and Gray-Geometry, JJ}, year = {1999}, publisher = {Cambridge} }
@book{Eves1972Geometry, title = {A Survey of Geometry: Rev. Ed}, author = {Eves, Howard Whitley}, year = {1972}, publisher = {Allyn and Bacon} }
@inproceedings{Hamilton1847Hodograph, title = {The hodograph, or a new method of expressing in symbolical language the Newtonian law of attraction}, author = {Hamilton, William Rowan}, booktitle = {Proceedings of the royal irish academy}, volume = {3}, pages = {344--353}, year = {1847} }
@article{Goldstein1976LRL2, title = {More on the prehistory of the Laplace or Runge-Lenz vector}, author = {Goldstein, Herbert}, journal = {American Journal of Physics}, volume = {44}, pages = {1123--1124}, year = {1976} }
@article{Goldstein1975LRL1, title = {Prehistory of the’’Runge--Lenz’’vector}, author = {Goldstein, Herbert}, journal = {American Journal of Physics}, volume = {43}, number = {8}, pages = {737--738}, year = {1975}, publisher = {AAPT} }
@article{Clausius1870Virial, title = {On a mechanical theorem applicable to heat}, author = {Clausius, Rudolf}, journal = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science}, volume = {40}, number = {265}, pages = {122--127}, year = {1870}, publisher = {Taylor \& Francis} }
@article{Poincare1890, title = {Sur le probl{\`e}me des trois corps et les {\'e}quations de la dynamique}, author = {Poincar{\'e}, Henri}, journal = {Acta mathematica}, volume = {13}, number = {1}, pages = {A3--A270}, year = {1890}, publisher = {Springer} }
@misc{Goldstein2002, title = {Classical mechanics}, author = {Goldstein, Herbert and Poole, Charles and Safko, John}, year = {2002}, publisher = {AAPT} }
@book{Chandrasekhar2003Principia, title = {Newton's Principia for the common reader}, author = {Chandrasekhar, Subrahmanyan}, year = {2003}, publisher = {Oxford University Press} }
@book{Apostol1967Calculus, title = {CALCULUS volume I One-Variable Calculus, with an Introduction to Linear Algebra, Blaisdell Publishing Company}, author = {Apostol, Thomas M}, year = {1967}, publisher = {John Wiley \& Sons} }
@book{Apostol1969Calculus, title = {Calculus, Volume II: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability}, author = {Apostol, Tom M}, year = {1969}, publisher = {John Wiley \& Sons} }
@book{Press2007Numerical, title = {Numerical recipes 3rd edition: The art of scientific computing}, author = {Press, William H and Teukolsky, Saul A and Vetterling, William T and Flannery, Brian P}, year = {2007}, publisher = {Cambridge university press} }
@article{Roll1964Equivalence, title = {The equivalence of inertial and passive gravitational mass}, author = {Roll, Peter G and Krotkov, Robert and Dicke, Robert H}, journal = {Annals of Physics}, volume = {26}, number = {3}, pages = {442--517}, year = {1964}, publisher = {Elsevier} }
@book{Devreese2008Stevin, title = {'Magic is no magic': the wonderful world of Simon Stevin}, author = {Devreese, Jozef T and Berghe, Guido Vanden}, year = {2008}, publisher = {WIT Press} }
@article{Wilczek2004Force, title = {Whence the force of F= ma? I: Culture shock}, author = {Wilczek, Frank}, journal = {Physics Today}, volume = {57}, number = {10}, pages = {11--12}, year = {2004}, publisher = {American Institute of Physics} }
@article{Zwicky1937Clusters, author = {{Zwicky}, F.}, title = {{On the Masses of Nebulae and of Clusters of Nebulae}}, journal = {Astrophysical Journal}, year = {1937}, month = {Oct}, volume = {86}, pages = {217}, doi = {10.1086/143864}, adsurl = {https://ui.adsabs.harvard.edu/abs/1937ApJ....86..217Z}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@article{Struble1999ComaCluster, title = {A compilation of redshifts and velocity dispersions for ACO clusters}, author = {Struble, Mitchell F and Rood, Herbert J}, journal = {The Astrophysical Journal Supplement Series}, volume = {125}, number = {1}, pages = {35}, year = {1999}, publisher = {IOP Publishing} }
@article{Gavazzi2009ComaCluster, title = {A weak lensing study of the Coma cluster}, author = {Gavazzi, Raphael and Adami, Christophe and Durret, Florence and Cuillandre, J-C and Ilbert, Olivier and Mazure, Alain and Pello, Roser and Ulmer, Melville P}, journal = {Astronomy \& Astrophysics}, volume = {498}, number = {2}, pages = {L33--L36}, year = {2009}, publisher = {EDP Sciences} }
@article{Pollard1964Virial, title = {A sharp form of the virial theorem}, author = {Pollard, Harry}, journal = {Bulletin of the American Mathematical Society}, volume = {70}, number = {5}, pages = {703--705}, year = {1964} }
@article{Babadzhaniants1993, author = {{Babadzhanyants}, L.~K.}, title = {{On the global solution of the N-body problem}}, journal = {Celestial Mechanics and Dynamical Astronomy}, keywords = {Cauchy Problem, Celestial Mechanics, Many Body Problem, Poincare Problem, Differential Equations, Inertial Reference Systems, Riemann Manifold, Three Body Problem, Transformations (Mathematics), Physics (General), N-body problem, Poincar\é, type method, analytic continuation}, year = {1993}, month = {Jul}, volume = {56}, number = {3}, pages = {427-449}, doi = {10.1007/BF00691812}, adsurl = {https://ui.adsabs.harvard.edu/abs/1993CeMDA..56..427B}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@article{Babadzhaniants1979Continuation, author = {{Babadzhaniants}, L.~K.}, title = {{Existence of the Continuations in the N-Body Problem}}, journal = {Celestial Mechanics}, keywords = {Astronomical Models, Celestial Mechanics, Gravitational Effects, Many Body Problem, Extremum Values, Functions (Mathematics), Inequalities, Set Theory, Taylor Series, Astronomy}, year = {1979}, month = {Jul}, volume = {20}, number = {1}, pages = {43-57}, doi = {10.1007/BF01236607}, adsurl = {https://ui.adsabs.harvard.edu/abs/1979CeMec..20...43B}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@article{Diacu1996Solution, title = {The solution of the n-body problem}, author = {Diacu, Florin}, journal = {The mathematical intelligencer}, volume = {18}, number = {3}, pages = {66--70}, year = {1996}, publisher = {Springer} }
@article{Julliard2000Bruns, title = {Bruns' theorem: The proof and some generalizations}, author = {Julliard-Tosel, Emmanuelle}, journal = {Celestial Mechanics and Dynamical Astronomy}, volume = {76}, number = {4}, pages = {241--281}, year = {2000}, publisher = {Springer} }
@article{Bruns1887Integrales, title = {{\"U}ber die integrale des vielk{\"o}rper-problems}, author = {Bruns, Heinrich}, journal = {Acta Mathematica}, volume = {11}, number = {1}, pages = {25--96}, year = {1887}, publisher = {Springer} }
@article{Souami2012SolarPlane, title = {The solar system’s invariable plane}, author = {Souami, D and Souchay, J}, journal = {Astronomy \& Astrophysics}, volume = {543}, pages = {A133}, year = {2012}, publisher = {EDP Sciences} }
@book{Laplace1835Obras, title = {Oeuvres compl{\`e}tes de Laplace}, author = {Laplace, Pierre Simon and others}, year = {1835}, publisher = {Gautier-Villars} }
@article{Hindmarsh1983odepack, title = {ODEPACK, a systematized collection of ODE solvers}, author = {Hindmarsh, Alan C}, journal = {Scientific computing}, pages = {55--64}, year = {1983}, publisher = {North-Holland} }
@book{Newton1780Principia, title = {Philosophiae naturalis principia mathematica}, author = {Newton, Isaac and Halley, Edmund}, volume = {62}, year = {1780}, publisher = {Jussu Societatis Regiae ac typis Josephi Streater, prostant venales apud Sam~…} }
@article{Batygin2016Planet9, title = {Evidence for a distant giant planet in the solar system}, author = {Batygin, Konstantin and Brown, Michael E}, journal = {The Astronomical Journal}, volume = {151}, number = {2}, pages = {22}, year = {2016}, publisher = {IOP Publishing} }
@book{Bate1971Astrodynamics, title = {Fundamentals of astrodynamics}, author = {Bate, Roger R and Mueller, Donald D and White, Jerry E}, year = {1971}, publisher = {Courier Corporation} }
@book{Poincare1992NewMethods, title = {New methods of celestial mechanics}, author = {Poincar{\'e}, Henri}, volume = {13}, year = {1992}, publisher = {Springer Science \& Business Media} }
@article{Barrow2010Sundman, title = {The dramatic episode of Sundman}, journal = {Historia Mathematica}, volume = {37}, number = {2}, pages = {164 - 203}, year = {2010}, issn = {0315-0860}, doi = {https://doi.org/10.1016/j.hm.2009.12.004}, url = {http://www.sciencedirect.com/science/article/pii/S0315086009001360}, author = {June Barrow-Green} }
@article{Sundman1913ThreeBody, author = {Sundman, Karl F.}, doi = {10.1007/BF02422379}, fjournal = {Acta Mathematica}, journal = {Acta Math.}, pages = {105--179}, publisher = {Institut Mittag-Leffler}, title = {Mémoire sur le problème des trois corps}, url = {https://doi.org/10.1007/BF02422379}, volume = {36}, year = {1913} }
@article{Wang1990GlobalSolution, title = {The global solution of the n-body problem}, author = {Qiu-Dong, Wang}, journal = {Celestial Mechanics and Dynamical Astronomy}, volume = {50}, number = {1}, pages = {73--88}, year = {1990}, publisher = {Springer} }
@article{Pollard1968Nbody, author = {Harry Pollard}, title = {The Behavior of Gravitational Systems}, journal = {Indiana Univ. Math. J.}, fjournal = {Indiana University Mathematics Journal}, volume = 17, year = 1968, issue = 6, pages = {601--611}, issn = {0022-2518}, coden = {IUMJAB}, mrclass = {} }
@article{Cohen1981NewtonDiscovery, author = {{Cohen}, I. Bernard}, title = {{Newton's Discovery of Gravity}}, journal = {Scientific American}, year = {1981}, month = {Mar}, volume = {244}, number = {3}, pages = {166-179}, doi = {10.1038/scientificamerican0381-166}, adsurl = {https://ui.adsabs.harvard.edu/abs/1981SciAm.244c.166C}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }
@book{Mowlan2017Masters, title = {Masters of mathematics: The problems they solved, why these are important, and what you should know about them}, author = {Nowlan, Robert A}, year = {2017}, publisher = {Springer} }
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