A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6; are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₁ = ĉ₁ = b; initially. Assume a mass distribution such that J = ₁₁₂ •Ï¾* • b₁ = 450 kg - m² kg-m² 1 =Û²•Ï¾* •Û² =Û¸•Ã¾* •ô¸ = 200 kg - m² I K-J-I = C³=r₁₁ =rb I B = - a[aª +(1+3K+q²) Q2²x² +(q²+3Kq)N³] = 0 where q = Kn+n-1. If n=-4, determine the eigenvalues. What does the result tell you?

Elements Of Electromagnetics
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Can you determine the eignevalues by hand?

A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂
be inertially fixed unit vectors; then, 6; are parallel to central, principal axes. To make
the mathematics simpler, introduce a frame C where n₁ = ĉ₁ = b; initially.
Assume a mass distribution such that
J = ₁₁₂ •Ï¾* • b₁ = 450 kg - m²
kg-m²
1 =Û²•Ï¾* •Û² =Û¸•Ã¾* •ô¸ = 200 kg - m²
I
K-J-I
=
C³=r₁₁ =rb
I B = -
Transcribed Image Text:A particular spacecraft can be represented as a single axisymmetric rigid body B. Let n₂ be inertially fixed unit vectors; then, 6; are parallel to central, principal axes. To make the mathematics simpler, introduce a frame C where n₁ = ĉ₁ = b; initially. Assume a mass distribution such that J = ₁₁₂ •Ï¾* • b₁ = 450 kg - m² kg-m² 1 =Û²•Ï¾* •Û² =Û¸•Ã¾* •ô¸ = 200 kg - m² I K-J-I = C³=r₁₁ =rb I B = -
a[aª +(1+3K+q²) Q2²x² +(q²+3Kq)N³] = 0
where q = Kn+n-1.
If n=-4, determine the eigenvalues. What does the result tell you?
Transcribed Image Text:a[aª +(1+3K+q²) Q2²x² +(q²+3Kq)N³] = 0 where q = Kn+n-1. If n=-4, determine the eigenvalues. What does the result tell you?
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