Abstract
The equations of motion governing the inrun and free-flight phases of a ski-jump have been set down. These equations have been used as the basis for a numerical scheme from which the in-flight trajectory and jump length have been calculated. The influence of such factors as the friction between the skis and snow, the jump technique at take-off, the angle of incidence of the airborne jumper and variations in air density have been investigated. Jump lengths consistent with those measured on the 90 m Sapporo ski-slope have been computed. Deductions are made concerning critical aspects of ski-jump technique.
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References
Raine A. E.: Sci. J. 6 (1970), 26–30.
Wright E. P.: Rubber Developments 31 (1978), 57–59.
Hoerner, S. F.: Aerodynamic Drag. Published by the author. U.S.A. 1951.
Ward-Smith A. J. and Clements D.: Aeronaut. J. 86 (1982), 384–391.
Outwater J. O.: Med. Sci. Sport 2 (1970), 231–234.
Bearman P. W. and Harvey J. K.: Aeronaut. Quart. 27 (1976), 112–122.
Ward-Smith, A. J. and Gibson, C.: Computer simulation of the trajectory of a badminton shuttlecock in flight (Unpublished, 1982).
Mayhew Y. F. and Rogers G. F. C.: Thermodynamic and Transport Properties of Fluids, 2nd edn., Basil Blackwell, Oxford, 1977.
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Ward-Smith, A.J., Clements, D. Numerical evaluation of the flight mechanics and trajectory of a ski-jumper. Acta Appl Math 1, 301–314 (1983). https://doi.org/10.1007/BF00046604
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DOI: https://doi.org/10.1007/BF00046604