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.
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Author:Amos Gilat
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![The maximal altitude of a satellite is given by the formula
Y = yo + (R+ yo)
+ y) [211 + 1 - 1].
-
25. LINEARIZATION OF FUNCTIONS OF RANDOM VARIABLES
where
λ = (1 + B), 1 = √1-4X(1 - A) cos² Ⓒ,
V2
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) =
2πσ.σ.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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf18ac40-4cfc-4950-b6a9-587f79d53ad5%2F73f10502-cfed-49e1-869e-b16714683d7d%2Fkesj1jv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The maximal altitude of a satellite is given by the formula
Y = yo + (R+ yo)
+ y) [211 + 1 - 1].
-
25. LINEARIZATION OF FUNCTIONS OF RANDOM VARIABLES
where
λ = (1 + B), 1 = √1-4X(1 - A) cos² Ⓒ,
V2
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) =
2πσ.σ.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.
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