If I have a body with a known mass M and principle inertias I1, I2, and I3 (or Ixx, Iyy, and Izz), is there an exact formula for the lengths of the three major axes of a uniform solid ellipsoid
X^2/A^2 + Y^2/B^2 + Z^2/C^2 = 1
which has the same inertias? In other words, knowning M, I1, I2, and I3, can A, B, and C be calculated exactly? [Or vice-versa: If A, B, and C (plus the density) are known, can I1, I2, and I3 be calculated?]
2006-08-25
04:09:58
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2 answers
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asked by
alewbail
2