Pontryagin's maximum principle and optimization of the flight phase in ski jumping

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15510%2F09%3A00011082" target="_blank" >RIV/61989592:15510/09:00011082 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Pontryagin's maximum principle and optimization of the flight phase in ski jumping

Original language description

There are several factors (the initial ski jumper's body position and its changes at the transition to the flight phase, the magnitude and the direction of the velocity vector of the jumper center of mass, the magnitude of the aerodynamic drag and lift forces etc.), which determine the trajectory of the jumper-ski system along with the total distance of jump. The objective of this paper is to bring out a method based on Pontryagin's maximum principle, which allows us to obtain a solution of the optimization problem for flight style control with three constrained control variables - angle of attack (), body-ski angle (), ski-opening angle (V). The flight distance was used as the optimality criterion. The borrowed regression function was taken as the source of information about the dependence of the drag (D) and lift (L) area on control variables with tabulated regression coefficients. The trajectories of the reference and optimized jumps were compared with the K = 125 m jumping hill pro

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

AK - Sport and leisure time activities

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Universitatis Palackianae Olomucensis. Gymnica

ISSN

1212-1185

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

3

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

8

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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