Symbol S^αβ
S^αβ is part of the quantity the equation computes from the expression on the right.
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Why this formula appears here
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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Symbol P_β
P_β is part of the quantity the equation computes from the expression on the right.
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Published contexts (1)
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Equation 33 · Evolutionary Physics
The Atlas That Refuses to Close
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
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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