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Velocity of a point expressed by using rotation matrix between two reference frames
$begingroup$
I'm trying to express the velocity of a point P by using a rotation matrix between two reference frames (see attached file please).
Notation: the vertical bar with $O_1$ or $O_2$ means that the vector's components are expressed in the $O_1$ or $O_2$ reference frame. The dot over a vector means derivative with respect to time of that vector.
Is my procedure correct?
In the last equation I used the Poisson's formulas to express the derivative of the rotation matrix.
Thank you so much.
physics education matrix-calculus rotations classical-mechanics
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
$endgroup$
add a comment |
$begingroup$
I'm trying to express the velocity of a point P by using a rotation matrix between two reference frames (see attached file please).
Notation: the vertical bar with $O_1$ or $O_2$ means that the vector's components are expressed in the $O_1$ or $O_2$ reference frame. The dot over a vector means derivative with respect to time of that vector.
Is my procedure correct?
In the last equation I used the Poisson's formulas to express the derivative of the rotation matrix.
Thank you so much.
physics education matrix-calculus rotations classical-mechanics
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
$endgroup$
add a comment |
$begingroup$
I'm trying to express the velocity of a point P by using a rotation matrix between two reference frames (see attached file please).
Notation: the vertical bar with $O_1$ or $O_2$ means that the vector's components are expressed in the $O_1$ or $O_2$ reference frame. The dot over a vector means derivative with respect to time of that vector.
Is my procedure correct?
In the last equation I used the Poisson's formulas to express the derivative of the rotation matrix.
Thank you so much.
physics education matrix-calculus rotations classical-mechanics
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
$endgroup$
I'm trying to express the velocity of a point P by using a rotation matrix between two reference frames (see attached file please).
Notation: the vertical bar with $O_1$ or $O_2$ means that the vector's components are expressed in the $O_1$ or $O_2$ reference frame. The dot over a vector means derivative with respect to time of that vector.
Is my procedure correct?
In the last equation I used the Poisson's formulas to express the derivative of the rotation matrix.
Thank you so much.
physics education matrix-calculus rotations classical-mechanics
physics education matrix-calculus rotations classical-mechanics
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
edited Jan 28 at 22:18
Gennaro Arguzzi
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
asked Jan 28 at 19:14
Gennaro ArguzziGennaro Arguzzi
361314
361314
add a comment |
add a comment |
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