References for: Orbits and gravitation
- E J Aiton, Polygons and parabolas : some problems concerning the dynamics of planetary orbits, Centaurus 31 (3-4) (1988), 207-221.
- E J Aiton, Kepler's path to the construction and rejection of his first oval orbit for Mars, Ann. of Sci. 35 (2) (1978), 173-190.
- E J Aiton, How Kepler discovered the elliptical orbit, Math. Gaz. 59 (410) (1975), 250-260.
- S Aoki, The moon-test in Newton's 'Principia' : accuracy of inverse-square law of universal gravitation, Archive for History of Exact Sciences 44 (2) (1992), 147-190.
- G Bamford, Popper and his commentators on the discovery of Neptune : a close shave for the law of gravitation?, Stud. Hist. Philos. Sci. 27 (2) (1996), 207-232.
- J Blum and W Helmchen, Von Kepler zu Newton : Von den Planetenbahnen zum Gravitationsgesetz, Praxis Math. 29 (4) (1987), 193-199.
- J B Brackenridge, Kepler, elliptical orbits, and celestial circularity : a study in the persistence of metaphysical commitment. I, Ann. of Sci. 39 (2) (1982), 117-143.
- J B Brackenridge, Kepler, elliptical orbits, and celestial circularity : a study in the persistence of metaphysical commitment. II, Ann. of Sci. 39 (3) (1982), 265-295.
- N A Chernikov, Introduction of Lobachevskii geometry into the theory of gravitation, Soviet J. Particles and Nuclei 23 (5) (1992), 507-521.
- I B Cohen, The 'Principia', universal gravitation, and the "Newtonian style", in relation to the Newtonian revolution in science, in Contemporary Newtonian research (Dordrecht-Boston, Mass., 1982), 21-108.
- J T Cushing, Kepler's laws and universal gravitation in Newton's 'Principia', Amer. J. Phys. 50 (7) (1982), 617-628.
- W H Donahue, Kepler's first thoughts on oval orbits : text, translation, and commentary, J. Hist. Astronom. 24 (1-2) (1993), 71-100.
- D Gerdes, Wilhelm Olbers' erste Berechnung einer Kometenbahn aus dem Jahre 1779, Gauss-Ges. Göttingen Mitt. 25 (1988), 74-79.
- B Gower, Planets and probability : Daniel Bernoulli on the inclinations of the planetary orbits, Stud. Hist. Philos. Sci. 18 (4) (1987), 441-454.
- S W Hawking and W Israel (eds.), Three hundred years of gravitation (Cambridge-New York, 1989).
- C Hoefer, Einstein's struggle for a Machian gravitation theory, Stud. Hist. Philos. Sci. 25 (3) (1994), 287-335.
- K Hutchison, Sunspots, Galileo, and the orbit of the Earth, Isis 81 (306) (1990), 68-74.
- S L Jaki, Das Gravitations-Paradoxon des unendlichen Universums, Sudhoffs Arch. 63 (2) (1979), 105-122.
- A Koyré, La gravitation universelle de Kepler à Newton, Arch. Internat. Hist. Sci. (N.S.) 4 (1951), 638-653.
- A B Kozhevnikov, The views of Faraday and Maxwell on gravitation (Russian), History and methodology of the natural sciences XXXI (Moscow, 1985), 129-134.
- W H McCrea, The Royal Observatory and the study of gravitation : Address at a reception on 17 July 1975 in celebration of the tercentenary of the Royal Greenwich Observatory, Notes and Records Roy. Soc. London 30 (2) (1975/76), 133-140.
- K P Moesgaard, Elements of planetary, lunar, and solar orbits, 1900 B.C. to A.D. 1900, tabulated for historical use, Centaurus 19 (3) (1975), 157-181.
- B H Pourciau, On Newton's proof that inverse-square orbits must be conics, Ann. of Sci. 48 (2) (1991), 159-172.
- L Rosenfeld, Newton and the law of gravitation, Arch. History Exact Sci. 2 (1964/1965), 365-386.
- H A M Snelders, Christiaan Huygens and Newton's theory of gravitation, Notes and Records Roy. Soc. London 43 (2) (1989), 209-222.
- R Taton, Le retour de la comète de Halley en 1759 : vérification exemplaire de la loi de la gravitation universelle de Newton, Acad. Roy. Belg. Bull. Cl. Sci. (5) 72 (4) (1986), 206-219.
- S R Valluri, C Wilson and W Harper, Newton's apsidal precession theorem and eccentric orbits, J. Hist. Astronom. 28 (1) (1997), 13-27.
- R Weinstock, Newton's 'Principia' and inverse-square orbits : the flaw reexamined, Historia Mathematica 19 (1) (1992), 60-70.
- R Weinstock, Long-buried dismantling of a centuries-old myth : Newton's 'Principia' and inverse-square orbits, Amer. J. Phys. 57 (9) (1989), 846-849.
- R Weinstock, Dismantling a centuries-old myth : Newton's 'Principia' and inverse-square orbits, Amer. J. Phys. 50 (7) (1982), 610-617.
- C Wilson, The dynamics of the Solar System, in I Grattan-Guinness (ed.), Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (London, 1994), 1044-1053.
- C Wilson, The three-body problem, in I Grattan-Guinness (ed.), Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (London, 1994), 1054-1062.
- C Wilson, The inner planets and the Keplerian revolution, Centaurus 17 (3) (1972), 205-248.
- N K Yan, On Isaac Newton's ideas of gravitation and God, Historia Sci. 34 (1988), 43-56.
JOC/EFR February 1996
MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/HistTopics/References/Orbits.html]