Geodesic
Conic Sections as Space Orbits
Matematičeskoe obrazovanie, Tome 42 (2007) no. 2, pp. 27-32.

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Kepler laws are derived from conservation laws, and the latter follow from Newton laws of mechanics. 
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V. B. Drozdov. Conic Sections as Space Orbits. Matematičeskoe obrazovanie, Tome 42 (2007) no. 2, pp. 27-32. http://geodesic.mathdoc.fr/item/MO_2007_42_2_a3/