On the analytical solution of the brachistochrone problem in a non-conservative field

DOI10.1016/S0020-7462(97)00026-7zbMath0909.70010OpenAlexW2008714703MaRDI QIDQ1390090

B. Vratanar, Miran Saje

Publication date: 7 April 1999

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(97)00026-7

zbMATH Keywords

Euler-Lagrange equationsparametrizationLagrangian multipliersNewtonian fluidviscous frictionnatural coordinate systemBernoulli's problemfrictional resistance fieldlinear resistance lawslope angle of trajectory

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Miscellaneous topics in calculus of variations and optimal control (49N99)

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