Equation 35 · Part 1 · The Atlas That Refuses to Close
Symbol u
What this part means
varied away from the body’s own rest-frame observer to some other inertial observer boosted at velocity relative to it.
Its job in the formula
u is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol u→Article meaning
Where the article explains it
Fix the slicing convention that anchors the centroid to the body’s own rest frame — the choice, standard in the spinning-body literature, in which the spin tensor about the centroid satisfies = 0 — and ask how moves as u is varied away from the body’s own rest-frame observer to some other inertial observer boosted at velocity relative to it.
The passage around this formula
Fix the slicing convention that anchors the centroid to the body’s own rest frame — the choice, standard in the spinning-body literature, in which the spin tensor about the centroid satisfies = 0 — and ask how moves as u is varied away from the body’s own rest-frame observer to some other inertial observer boosted at velocity relative to it. Costa and Natário’s synthesis of the classical spinning-body literature gives the answer in closed form: the centroid measured by the boosted observer is displaced from the rest-frame centroid by
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Sources cited in the article section
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