Skip to main content

Ski Jumping: Aerodynamics and Kinematics of Take-Off and Flight

  • Reference work entry
  • First Online:
Handbook of Human Motion
  • 646 Accesses

Abstract

Ski jumping performance involves ballistic and aerodynamic factors, which primarily determine the requirements of the discipline. Ski jumper’s velocity and position of the body center of mass at the release instant from the take-off table quantify the ballistic flight trajectory and the length of the jump. Aerodynamic factors cover all aspects of gliding properties of the jumper/skis system (aerodynamic forces) where the equipment has a big role as well. Ski jumping performance is often divided into four different phases: inrun, take-off, flight, and landing. Take-off and its subsequent transition into flight phase are considered the most important phases as they determine the initial conditions and jumper’s final position during the flight. Both ballistic and aerodynamic factors involved in different phases of jump will be discussed in this chapter which consists of, not all, but selected well-known studies and unpublished results. The chapter tries to create a clear view about the technical requirements of ski jumping performance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

References

  • Ettema GJC, Bråten S, Bobbert MF (2005) Dynamics of the in-run in ski jumping: a simulation study. J Appl Biomech 21:247–259

    Article  Google Scholar 

  • Ettema G, Hooiveld J, Bråten S, Bobbert M (2015) How do elite ski jumpers handle the dynamic conditions in imitation jumps? J Sports Sci 34(11):1081–1087

    Article  Google Scholar 

  • FIS. Specifications for competition Equipment and commercial markings 2016/17–13.07.16. http://www.fis-ski.com/mm/Document/documentlibrary/Marketing/04/30/53/Competitionequipment_1617_11072016_clean_English.pdf

  • Janura M, Cabell L, Elfmark M, Vaverka F (2010) Kinematic characteristics of the Ski Jump Inrun: a 10-year longitudinal study. J Appl Biomech 2:196–204

    Google Scholar 

  • Janura M, Cabell L, Svoboda Z, Elfmark M, Zahalka F (2011) Kinematic analysis of the take-off and start of the early flight phase on a large hill (HS-134 m) during the 2009 Nordic World Ski Championships. J Human Kinet 27:5–16

    Google Scholar 

  • Janurová E, Janura M, Cabell L, Svoboda Z, Vařeka I, Elfmark M (2013) Kinematic chains in ski jumping in-run posture. J Hum Kinet 39:67–72

    Article  Google Scholar 

  • Jung A, Staat M, Müller W (2014) Flight style optimization in ski jumping on normal, large, and ski flying hills. J Biomech 47(3):716–722

    Article  Google Scholar 

  • Jung A, Staat M, Müller W (2015) Effect of wind on flight style optimisation in ski jumping. XV international symposium on computer simulation in biomechanics 9–11 July 2015, Edinburgh

    Google Scholar 

  • Lee K-D, Park M-J, Kim K-Y (2012) Optimization of ski jumper’s posture considering lift-to-drag ratio and stability. J Biomech 45(12):2125–2132

    Article  Google Scholar 

  • Logar G, Munih M (2015) Estimation of joint forces and moments fort the in-run and take-off in ski jumping based on measurements with wearable inertial sensors. Sensors 15:11258–11276

    Article  Google Scholar 

  • Mahnke R, Hochmuth G (1990) Neue Erkenntnisse zur Luftkraftwirkung beim Ski-springen. Research Report for Forschungsinstitut für Körperkultur und Sport, Leipzig

    Google Scholar 

  • Meile W, Reisenberger E, Mayer M, Schmölzer B, Müller W, Brenn G (2006) Aerodynamics of ski jumping: experiments and CFD simulations. Exp Fluids 41:949–964

    Article  Google Scholar 

  • Meile W, Müller W, Reisenberger E (2008) Ski-jumping aerodynamics: model-experiments and CFD-simulations. In: Nørstrud H (ed) Sport aerodynamics, vol 506. Springer (International Centre for Mechanical Sciences CISM), Wien/New York, pp 183–216

    Chapter  Google Scholar 

  • Müller W (2009a) Determinants of ski-jump performance and implications for health, safety and fairness. Sports Med 39(2):85–106

    Article  Google Scholar 

  • Müller W (2009b) Towards research-based approaches for solving body composition problems in sports: ski jumping as a heuristic example. Br J Sports Med 43:1013–1019

    Article  Google Scholar 

  • Müller W, Schmölzer B (2002) Computer simulated ski jumping: the tightrope walk to high performance. In: Proceedings of the 4th world congress on biomechanics, Calgary

    Google Scholar 

  • Müller W, Platzer D, Schmölzer B (1995) Scientific approach to ski safety. Nature 375:455

    Article  Google Scholar 

  • Müller W, Platzer D, Schmölzer B (1996) Dynamics of human flight on skis: improvements in safety and fairness in ski jumping. J Biomech 29(8):1061–1068

    Article  Google Scholar 

  • Nørstrud H, Øye IJ (2009) On CFD simulation of ski jumping. In: Peters M (ed) Computational fluid dynamics for sport simulation. Lecture notes in computational science and engineering, vol 72. Springer, Berlin/Heidelberg, pp 63–82

    Google Scholar 

  • Pontryagin LS, Boltiansky VG, Gamkrelidze RV, Mitchenko EF (1962) Mathematical theory of optimal process. Wiley Interscience, New York/London

    Google Scholar 

  • Remizov LP (1984) Biomechanics of optimal flight in ski-jumping. J Biomech 17(3):167–171

    Article  Google Scholar 

  • Schmölzer B, Müller W (2002) The importance of being light: aerodynamic forces and weight in ski jumping. J Biomech 35:1059–1069

    Article  Google Scholar 

  • Schmölzer B, Müller W (2005) Individual flight styles in ski jumping: results obtained during Olympic games competitions. J Biomech 38:1055–1065

    Article  Google Scholar 

  • Schwameder H (2008) Biomechanics research in ski jumping, 1991–2006. Sport Biomech 7(1):114–136

    Article  Google Scholar 

  • Schwameder H, Müller E (1995) Biomechanische Besreibung und Analyse der V-Technik im Skispringen. Spectrum Sportwissenschaften 7:5–36

    Google Scholar 

  • Straumann R (1927) Vom Skiweitsprung und seiner Mechanik. In: Jahrbuch des Schweize-rischen Ski Verbandes. Selbstverlag des SSV, Bern, pp 34–64

    Google Scholar 

  • Straumann R (1955) Vom Skisprung zum Skiflieg. Sport, Zürich 63:7–8

    Google Scholar 

  • Tani I, Iuchi M (1971) Flight mechanical investigation of ski jumping. In: Kinoshita K (ed) Scientific study of skiing in Japan. Hitachi, Tokyo, pp 35–52

    Google Scholar 

  • Uhlář R, Janura M (2009) Pontryagin’s maximum principle and optimization of the flight phase in ski jumping. Acta Univ Palacki Olomuc Gymnica 39:61–68

    Google Scholar 

  • Virmavirta M (2016) Aerodynamics of ski jumping. In: Braghin F et al (eds) The engineering approach to winter sports. Springer, New York, pp 153–181

    Chapter  Google Scholar 

  • Virmavirta M, Kivekäs J (2012) The effect of wind on jumping distance in ski jumping – fairness assessed. Sport Biomech 11(3):358–369

    Article  Google Scholar 

  • Virmavirta M, Kivekäs J (2013) Is it still important to be light in ski jumping? XXIV ISB Congress, Natal. Congress proceedings

    Google Scholar 

  • Virmavirta M, Kivekäs J (2015) Aerodynamics of isolated ski jumping ski. XXV ISB Congress, Glasgow. Congress proceedings

    Google Scholar 

  • Virmavirta M, Kivekäs J, Komi PV (2001) Take-off aerodynamics in ski jumping. J Biomech 34:465–470

    Article  Google Scholar 

  • Virmavirta M, Isolehto J, Komi PV, Brüggemann GP, Müller E, Schwameder H (2005) Characteristics of the early flight phase in the Olympic ski jumping competition. J Biomech 38:2157–2163

    Article  Google Scholar 

  • Virmavirta M, Kivekäs J, Komi PV (2010) Ski jumping take-off in a wind tunnel with skis. J Appl Biomech 27(4):375–379

    Article  Google Scholar 

  • Zanevskyy I, Banakh V (2010) Dependence of ski jump length on the skier’s body pose at the beginning of take-off. Acta Bioeng Biomech 12(4):79–87

    Google Scholar 

Download references

Acknowledgments

The author acknowledges Mr. Juha Kivekäs (Arteform Ltd.) for his expertise in aerodynamics and the computer simulations.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mikko Virmavirta .

Section Editor information

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Virmavirta, M. (2018). Ski Jumping: Aerodynamics and Kinematics of Take-Off and Flight. In: Handbook of Human Motion. Springer, Cham. https://doi.org/10.1007/978-3-319-14418-4_131

Download citation

Publish with us

Policies and ethics