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Extremization of Linear Integrals by Greens Theorem
The Calculus of Variations in Applied Aerodynamics and Flight Mechanics
11 other sections not shown
adjoint system application approximation assumed Astronaut Bellman boundary conditions burning program burnout velocity calculus of variations coefficients components computational consider constant control variables curve defined determine differential equations drag dynamic programming energy Euler equations Euler-Lagrange equations example exhaust speed exhaust velocity extremal arc final values flight path fuel G. A. Bliss gradient Green's theorem hence independent variable inequality constraints initial integral Lagrange multiplier Lawden Legendre-Clebsch condition Leitmann linear mass flow rate maxima and minima maximize method Miele minimizes missile obtained optimal optimum thrust optimum trajectory orbit ordinary minimum problems parameters partial derivatives payload payoff function Pontryagin maximum principle propellant mass propulsion system ratio reactor respect result rocket vehicle satisfied specific impulse specific mass stationary subarcs technique theorem theory thrust direction thrust programming tion transfer transversality condition variational problems vector Weierstrass yields zero