The maximal altitude of a satellite is given by the formula Y = yo + (R+ yo) + yo) [211 + 1 - 1]. - 25. LINEARIZATION OF FUNCTIONS OF RANDOM VARIABLES where V2 λ = (1 + B), 1 = √1-4X(1 - A) cos² Ⓒ, 2g R yo is the altitude of the active part of the trajectory, g the acceleration of gravity on the surface of the earth and R the radius of the earth. The function Y can be linearized in the domain of practically possible values of the random arguments. The initial velocity V and the launching angle are normal random variables with probability density 1 f(v, 0) = 2π0,0₂ V 1 2 - (v ü)(0 x exp • { - 201² - 15 [ ( ² — 9)² + ( ª — 9) ² − 2, (0 - 0X0 - 6)). - 2r σe σv Find the approximate value of the variance for the maximal altitude of the satellite.
The maximal altitude of a satellite is given by the formula Y = yo + (R+ yo) + yo) [211 + 1 - 1]. - 25. LINEARIZATION OF FUNCTIONS OF RANDOM VARIABLES where V2 λ = (1 + B), 1 = √1-4X(1 - A) cos² Ⓒ, 2g R yo is the altitude of the active part of the trajectory, g the acceleration of gravity on the surface of the earth and R the radius of the earth. The function Y can be linearized in the domain of practically possible values of the random arguments. The initial velocity V and the launching angle are normal random variables with probability density 1 f(v, 0) = 2π0,0₂ V 1 2 - (v ü)(0 x exp • { - 201² - 15 [ ( ² — 9)² + ( ª — 9) ² − 2, (0 - 0X0 - 6)). - 2r σe σv Find the approximate value of the variance for the maximal altitude of the satellite.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
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