Geodesic
Laws of rolling simplexes (feild equations according to Tycho Brahe)
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 38-42

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Models of central power fields with quadratic dynamics suggested by René Descartes are studied. These examples gradually lead the reader to the understanding of base notions of differential algebraic-geometric theory of Brahe–Descartes–Watson including central fields whose dynamics is formed by planar affine algebraic curves of degree not exceeding $N$ ($N=1,2,3,\ldots$). 
@article{VMUMM_2012_6_a7,
     author = {Yu. P. Razmyslov},
     title = {Laws of rolling simplexes (feild equations according to {Tycho} {Brahe)}},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {38--42},
     publisher = {mathdoc},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a7/}
}
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Yu. P. Razmyslov. Laws of rolling simplexes (feild equations according to Tycho Brahe). Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 38-42. http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a7/