How can I find the collision time of 2 ellipsoids that rotate

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SUMMARY

This discussion focuses on calculating the collision time between two rotating ellipsoids defined by their equations and rotational axes. Ellipsoid A and B are described by their respective equations and rotate around specified unit vectors with infinite speed. The conversation highlights the paradox of determining a collision time under infinite rotational conditions and suggests clarifying the question to seek the fraction of time during which the ellipsoids intersect rather than a specific collision time.

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This discussion is beneficial for mathematicians, physicists, and computer graphics developers interested in collision detection and dynamic simulations involving complex shapes like ellipsoids.

Guy Ab
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I have 2 ellipsoids:

Ax^2/a^2+Ay^2/b^2+Az^2/c^2=1; (*a,b,c>0 constants*)
Bx^2/a^2+By^2/b^2+Bz^2/c^2=1;
Ellipsoid A rotates around axis [wax;way;waz] (unit vector) with an infinite speed;
Ellipsoid B rotates around axis [wbx;wby;wbz] (unit vector) with an infinite speed;
[Dx;Dy;Dz] is the vector from ellipsoid A center to ellipsoid B center;
The velocity of ellipsoid A center is [VAx;VAy;VAz];
The velocity of ellipsoid B center is [VBx;VBy;VBz];

How can I find the collision time?
 
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You should clarify the question.

How does it make sense to ask for a collision "time" when things are happening at "infinite" speed? Are you seeking "the fraction of time" that two figures would have some intersection?
 

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