Newton's theorem of revolving orbits (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Newton's theorem of revolving orbits" in English language version.

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12doi.org

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10harvard.edu

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5semanticscholar.org

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3web.archive.org

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archive.org

Grossman 1996, pp. 33–34 Grossman, Nathaniel (1996), The Sheer Joy of Celestial Mechanics, Springer Science & Business Media, ISBN 978-0-8176-3832-0
Lawrence 1972, pp. 192–194 Lawrence, J. Dennis (1972), A Catalog of Special Plane Curves, New York: Dover, ISBN 0486602885
Cohen IB (1990). "Halley's Two Essays on Newton's Principia". In Norman Thrower (ed.). Standing on the Shoulders of Giants: A Longer View of Newton and Halley. Berkeley, CA: University of California Press. pp. 91–108. ISBN 978-0-520-06589-5.

arxiv.org

Lynden-Bell D, Jin S (2008). "Analytic central orbits and their transformation group". Monthly Notices of the Royal Astronomical Society. 386 (1): 245–260. arXiv:0711.3491. Bibcode:2008MNRAS.386..245L. doi:10.1111/j.1365-2966.2008.13018.x. S2CID 15451037.
Sugon QM, Bragais S, McNamara DJ (2008) Copernicus’s epicycles from Newton’s gravitational force law via linear perturbation theory in geometric algebra Archived 2016-10-29 at the Wayback Machine.

bnf.fr

visualiseur.bnf.fr

Clairaut, AC (1745). "Du Système du Monde dans les principes de la gravitation universelle". Histoire de l'Académie Royale des Sciences avec les mémoires de mathématique et de physique. 1749: 329–364. Archived from the original on 2011-06-07. Retrieved 2007-07-12.

doi.org

Lynden-Bell, D; Lynden-Bell RM (1997). "On the Shapes of Newton's Revolving Orbits". Notes and Records of the Royal Society of London. 51 (2): 195–198. doi:10.1098/rsnr.1997.0016. S2CID 73239002.
Lynden-Bell D, Jin S (2008). "Analytic central orbits and their transformation group". Monthly Notices of the Royal Astronomical Society. 386 (1): 245–260. arXiv:0711.3491. Bibcode:2008MNRAS.386..245L. doi:10.1111/j.1365-2966.2008.13018.x. S2CID 15451037.
Mahomed FM, Vawda F (2000). "Application of Symmetries to Central Force Problems". Nonlinear Dynamics. 21 (4): 307–315. doi:10.1023/A:1008317327402. S2CID 116319304.
Sundman KF (1912). "Memoire sur le probleme de trois corps". Acta Mathematica. 36 (1): 105–179. doi:10.1007/BF02422379.
Hiltebeitel AM (1911). "On the Problem of Two Fixed Centres and Certain of its Generalizations". American Journal of Mathematics. 33 (1/4). The Johns Hopkins University Press: 337–362. doi:10.2307/2369997. JSTOR 2369997.
Hill GW (1894). "Literal expression for the motion of the moon's perigee". Ann. Math. 9 (1/6): 31–41. doi:10.2307/1967502. JSTOR 1967502.
Brown EW (1891). "Unknown title". Am. J. Math. 13 (2). The Johns Hopkins University Press: 159–172. doi:10.2307/2369812. JSTOR 2369812.
Brown EW (1891). "On the Determination of a Certain Class of Inequalities in the Moon's Motion". Monthly Notices of the Royal Astronomical Society. 52 (2): 71. Bibcode:1891MNRAS..52...71B. doi:10.1093/mnras/52.2.71.
Valluri S. R.; Wilson C.; Harper W. (1997). "Newton's Apsidal Precession Theorem and Eccentric Orbits". Journal for the History of Astronomy. 28: 13–27. Bibcode:1997JHA....28...13V. doi:10.1177/002182869702800102. S2CID 117886193.
Cook A (2000). "Success and Failure in Newton's Lunar Theory". Astronomy and Geophysics. 41 (6): 21–25. Bibcode:2000A&G....41f..21C. doi:10.1046/j.1468-4004.2000.41621.x.
Wilson C (1987). "On the Origin of Horrock's Lunar Theory". Journal for the History of Astronomy. 18 (2): 77–94. Bibcode:1987JHA....18...77W. doi:10.1177/002182868701800201. S2CID 115379870.
Hall A (1894). "A suggestion in the theory of Mercury". The Astronomical Journal. 14: 49–51. Bibcode:1894AJ.....14...49H. doi:10.1086/102055.
Brown EW (1903). "On the degree of accuracy in the new lunary theory". Monthly Notices of the Royal Astronomical Society. 64: 524–534. Bibcode:1904MNRAS..64..524.. doi:10.1093/mnras/64.6.524.

harvard.edu

ui.adsabs.harvard.edu

Lynden-Bell D, Jin S (2008). "Analytic central orbits and their transformation group". Monthly Notices of the Royal Astronomical Society. 386 (1): 245–260. arXiv:0711.3491. Bibcode:2008MNRAS.386..245L. doi:10.1111/j.1365-2966.2008.13018.x. S2CID 15451037.
Heilbron 2005, pp. 11 Heilbron, J. (2005), The Oxford Guide to the History of Physics and Astronomy, Oxford University Press, USA, Bibcode:2005oghp.book.....H, ISBN 978-0-19-517198-3
Heilbron 2005, pp. 139 Heilbron, J. (2005), The Oxford Guide to the History of Physics and Astronomy, Oxford University Press, USA, Bibcode:2005oghp.book.....H, ISBN 978-0-19-517198-3
Brown EW (1891). "Unknown title". Am. J. Math. 13 (2). The Johns Hopkins University Press: 159–172. doi:10.2307/2369812. JSTOR 2369812.
Brown EW (1891). "On the Determination of a Certain Class of Inequalities in the Moon's Motion". Monthly Notices of the Royal Astronomical Society. 52 (2): 71. Bibcode:1891MNRAS..52...71B. doi:10.1093/mnras/52.2.71.
Valluri S. R.; Wilson C.; Harper W. (1997). "Newton's Apsidal Precession Theorem and Eccentric Orbits". Journal for the History of Astronomy. 28: 13–27. Bibcode:1997JHA....28...13V. doi:10.1177/002182869702800102. S2CID 117886193.
Cook A (2000). "Success and Failure in Newton's Lunar Theory". Astronomy and Geophysics. 41 (6): 21–25. Bibcode:2000A&G....41f..21C. doi:10.1046/j.1468-4004.2000.41621.x.
Wilson C (1987). "On the Origin of Horrock's Lunar Theory". Journal for the History of Astronomy. 18 (2): 77–94. Bibcode:1987JHA....18...77W. doi:10.1177/002182868701800201. S2CID 115379870.
Hall A (1894). "A suggestion in the theory of Mercury". The Astronomical Journal. 14: 49–51. Bibcode:1894AJ.....14...49H. doi:10.1086/102055.
Le Verrier UJJ (1859). "Théorie du mouvement de Mercure". Annales de l'Observatoire Impérial de Paris. 5: 1–196, esp. 98–106. Bibcode:1859AnPar...5....1L.
Simon Newcomb (1882). "Discussion and Results of Observations on Transits of Mercury from 1677 to 1881". Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac. 1: 473. Bibcode:1882USNAO...1..363N.
Brown EW (1903). "On the degree of accuracy in the new lunary theory". Monthly Notices of the Royal Astronomical Society. 64: 524–534. Bibcode:1904MNRAS..64..524.. doi:10.1093/mnras/64.6.524.

jstor.org

Hiltebeitel AM (1911). "On the Problem of Two Fixed Centres and Certain of its Generalizations". American Journal of Mathematics. 33 (1/4). The Johns Hopkins University Press: 337–362. doi:10.2307/2369997. JSTOR 2369997.
Hill GW (1894). "Literal expression for the motion of the moon's perigee". Ann. Math. 9 (1/6): 31–41. doi:10.2307/1967502. JSTOR 1967502.
Brown EW (1891). "Unknown title". Am. J. Math. 13 (2). The Johns Hopkins University Press: 159–172. doi:10.2307/2369812. JSTOR 2369812.
Brown EW (1891). "On the Determination of a Certain Class of Inequalities in the Moon's Motion". Monthly Notices of the Royal Astronomical Society. 52 (2): 71. Bibcode:1891MNRAS..52...71B. doi:10.1093/mnras/52.2.71.

nasa.gov

apod.nasa.gov

Nemiroff, Robert (13 Jun 2010). "Retrograde Mars". Astronomy Picture of the Day. NASA. Archived from the original on 31 May 2011. Retrieved 31 October 2016.

semanticscholar.org

api.semanticscholar.org

Lynden-Bell, D; Lynden-Bell RM (1997). "On the Shapes of Newton's Revolving Orbits". Notes and Records of the Royal Society of London. 51 (2): 195–198. doi:10.1098/rsnr.1997.0016. S2CID 73239002.
Lynden-Bell D, Jin S (2008). "Analytic central orbits and their transformation group". Monthly Notices of the Royal Astronomical Society. 386 (1): 245–260. arXiv:0711.3491. Bibcode:2008MNRAS.386..245L. doi:10.1111/j.1365-2966.2008.13018.x. S2CID 15451037.
Mahomed FM, Vawda F (2000). "Application of Symmetries to Central Force Problems". Nonlinear Dynamics. 21 (4): 307–315. doi:10.1023/A:1008317327402. S2CID 116319304.
Valluri S. R.; Wilson C.; Harper W. (1997). "Newton's Apsidal Precession Theorem and Eccentric Orbits". Journal for the History of Astronomy. 28: 13–27. Bibcode:1997JHA....28...13V. doi:10.1177/002182869702800102. S2CID 117886193.
Wilson C (1987). "On the Origin of Horrock's Lunar Theory". Journal for the History of Astronomy. 18 (2): 77–94. Bibcode:1987JHA....18...77W. doi:10.1177/002182868701800201. S2CID 115379870.

web.archive.org

Nemiroff, Robert (13 Jun 2010). "Retrograde Mars". Astronomy Picture of the Day. NASA. Archived from the original on 31 May 2011. Retrieved 31 October 2016.
Sugon QM, Bragais S, McNamara DJ (2008) Copernicus’s epicycles from Newton’s gravitational force law via linear perturbation theory in geometric algebra Archived 2016-10-29 at the Wayback Machine.
Clairaut, AC (1745). "Du Système du Monde dans les principes de la gravitation universelle". Histoire de l'Académie Royale des Sciences avec les mémoires de mathématique et de physique. 1749: 329–364. Archived from the original on 2011-06-07. Retrieved 2007-07-12.