Problem 3: A cube-shaped spacecraft is in a circular Earth orbit. Let N (n,) be inertial and the spacecraft is denoted S (ŝ₁). The spacecraft is described such that ¯½º = J ŝ₁ŝ₁ + J ŝ₂§₂ + J §¸Ŝ3 Location of the spacecraft in the orbit is determined by the orbit-fixed unit vectors ê, that are oriented by the angle (Qt), where is a constant angular rate. 52 €3 3> 2t 55 Λ Из At the instant when Qt = 90°, the spacecraft S is oriented relative to the orbit such that 8₁ = 0° Space-three 1-2-3 angles 0₂ = 60° and ES = $₂ rad/s 0₁ = 135° (a) At this instant, determine the direction cosine matrix that describes the orientation of the spacecraft with respect to the inertial frame N.
Problem 3: A cube-shaped spacecraft is in a circular Earth orbit. Let N (n,) be inertial and the spacecraft is denoted S (ŝ₁). The spacecraft is described such that ¯½º = J ŝ₁ŝ₁ + J ŝ₂§₂ + J §¸Ŝ3 Location of the spacecraft in the orbit is determined by the orbit-fixed unit vectors ê, that are oriented by the angle (Qt), where is a constant angular rate. 52 €3 3> 2t 55 Λ Из At the instant when Qt = 90°, the spacecraft S is oriented relative to the orbit such that 8₁ = 0° Space-three 1-2-3 angles 0₂ = 60° and ES = $₂ rad/s 0₁ = 135° (a) At this instant, determine the direction cosine matrix that describes the orientation of the spacecraft with respect to the inertial frame N.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
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Transcribed Image Text:Problem 3: A cube-shaped spacecraft is in a circular Earth orbit. Let N (n,) be inertial
and the spacecraft is denoted S (ŝ₁). The spacecraft is described such that
¯½º = J ŝ₁ŝ₁ + J ŝ₂§₂ + J §¸Ŝ3
Location of the spacecraft in the orbit is determined by the orbit-fixed unit vectors ê, that
are oriented by the angle (Qt), where is a constant angular rate.
52
€3
3>
2t
55
Λ
Из
At the instant when Qt = 90°, the spacecraft S is oriented relative to the orbit such that
8₁ = 0°
Space-three 1-2-3 angles 0₂ = 60°
and
ES = $₂ rad/s
0₁ = 135°
(a) At this instant, determine the direction cosine matrix that describes the orientation of
the spacecraft with respect to the inertial frame N.
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