Mixing
Convert velocity vector to yaw roll pitch Tait Bryan
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I have a cartesian position and velocity vector describing the flight path of an object in the format "time posX posY posZ velX velY velZ" and want to convert it to a "time posX posY posZ ang1 ang2 ang3" (losing the absolute velocity information). I have found this answer which pretty much shows what I want - only in the opposite direction.
Is there a way to calculate the yaw, pitch and roll angles from the velocity vector? What I have is the velocity vector before rotation and the velocity vector after rotation (absolute velocity in x-direction, 0 velocity in the other directions).
begin{align}
R_z(theta) R_x(phi) R_y(psi) begin{pmatrix} u \ v \ w end{pmatrix}
&=begin{pmatrix} sqrt{u^2+v^2+w^2} \ 0 \ 0end{pmatrix}end{align}
I have found also this excellent page, I could not get to the point where I understood how I can extract the angles from the two vectors.
I have found a similar question here and will try to solve the question using the only answer which is also marked as the best answer.
matrices geometry trigonometry vectors rotations
asked Jan 11 at 12:34
NikolaiNikolai
12
$endgroup$
add a comment |
$begingroup$
I have a cartesian position and velocity vector describing the flight path of an object in the format "time posX posY posZ velX velY velZ" and want to convert it to a "time posX posY posZ ang1 ang2 ang3" (losing the absolute velocity information). I have found this answer which pretty much shows what I want - only in the opposite direction.
Is there a way to calculate the yaw, pitch and roll angles from the velocity vector? What I have is the velocity vector before rotation and the velocity vector after rotation (absolute velocity in x-direction, 0 velocity in the other directions).
begin{align}
R_z(theta) R_x(phi) R_y(psi) begin{pmatrix} u \ v \ w end{pmatrix}
&=begin{pmatrix} sqrt{u^2+v^2+w^2} \ 0 \ 0end{pmatrix}end{align}
I have found also this excellent page, I could not get to the point where I understood how I can extract the angles from the two vectors.
I have found a similar question here and will try to solve the question using the only answer which is also marked as the best answer.
matrices geometry trigonometry vectors rotations
asked Jan 11 at 12:34
NikolaiNikolai
12
$endgroup$
$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03
add a comment |
$begingroup$
I have a cartesian position and velocity vector describing the flight path of an object in the format "time posX posY posZ velX velY velZ" and want to convert it to a "time posX posY posZ ang1 ang2 ang3" (losing the absolute velocity information). I have found this answer which pretty much shows what I want - only in the opposite direction.
Is there a way to calculate the yaw, pitch and roll angles from the velocity vector? What I have is the velocity vector before rotation and the velocity vector after rotation (absolute velocity in x-direction, 0 velocity in the other directions).
begin{align}
R_z(theta) R_x(phi) R_y(psi) begin{pmatrix} u \ v \ w end{pmatrix}
&=begin{pmatrix} sqrt{u^2+v^2+w^2} \ 0 \ 0end{pmatrix}end{align}
I have found also this excellent page, I could not get to the point where I understood how I can extract the angles from the two vectors.
I have found a similar question here and will try to solve the question using the only answer which is also marked as the best answer.
matrices geometry trigonometry vectors rotations
asked Jan 11 at 12:34
NikolaiNikolai
12
$endgroup$
I have a cartesian position and velocity vector describing the flight path of an object in the format "time posX posY posZ velX velY velZ" and want to convert it to a "time posX posY posZ ang1 ang2 ang3" (losing the absolute velocity information). I have found this answer which pretty much shows what I want - only in the opposite direction.
Is there a way to calculate the yaw, pitch and roll angles from the velocity vector? What I have is the velocity vector before rotation and the velocity vector after rotation (absolute velocity in x-direction, 0 velocity in the other directions).
begin{align}
R_z(theta) R_x(phi) R_y(psi) begin{pmatrix} u \ v \ w end{pmatrix}
&=begin{pmatrix} sqrt{u^2+v^2+w^2} \ 0 \ 0end{pmatrix}end{align}
I have found also this excellent page, I could not get to the point where I understood how I can extract the angles from the two vectors.
I have found a similar question here and will try to solve the question using the only answer which is also marked as the best answer.
matrices geometry trigonometry vectors rotations
matrices geometry trigonometry vectors rotations
asked Jan 11 at 12:34
NikolaiNikolai
12
asked Jan 11 at 12:34
NikolaiNikolai
12
edited Jan 16 at 8:50
Nikolai
asked Jan 11 at 12:34
NikolaiNikolai
12
asked Jan 11 at 12:34
NikolaiNikolai
12
asked Jan 11 at 12:34
NikolaiNikolai
12
12
$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03
add a comment |
$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03
$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03
$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03
add a comment |
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$begingroup$
Write the velocity in spherical coordinates.
$endgroup$
– lightxbulb
Jan 16 at 9:03