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Brachystochronen als zeitkürzeste Fahrspuren von Bobschlitten
Author(s) -
Maisser Peter
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199805)78:5<311::aid-zamm311>3.0.co;2-i
Subject(s) - geodesic , mathematics , euclidean space , geometry , mathematical analysis , euclidean geometry
Bobsled move on tracks with a known geometry, i.e. with a given cross‐sectional shape, turn angle, and elevation drop. The problem is to find the time‐shortest path through a turn. To investigate this problem the classical brachistochrone problem is generalized to arbitrarily twofold curved surfaces in the 3‐dimensional Euclidean space. The corresponding equation of a minimum time path involves two other special extremals: the geodesics and the Jacobi geodesics.