Convert spherical coordinate rotation to aircraft-axes rotation
$begingroup$
Spherical coordinate system (I'm using common mathematics convention)
Aircraft axes system
To be even more specific, the aircraft-based system that I'm working on has these properties:
1. It's ordered as (roll, -pitch, -yaw), with negative signs representing inverted direction compared to original aircraft system
2. It's always resolved in that order
3. A vector that has roll=0, pitch=0, yaw=0 has θ=0, φ=0
And the spherical coordinate system that I'm implementing takes 1 additional field into account during each conversion, which is roll (as in aircraft's roll). The roll is supposed to be accounted after the vector correctly points at (θ,φ).
If I can choose the resolve-order of the aircraft system then I'm not living in this headache, because if it is possible I'd resolve in (yaw, pitch, roll) order and have the result that I want. But alas, things in programming love to go in the hard way.
So, what is the formulas to have (θ,φ)+(roll) rotation converted to (roll,-pitch,-yaw) rotation?
rotations
asked Jan 12 at 7:15
OverfrostOverfrost
11
$endgroup$
add a comment |
$begingroup$
Spherical coordinate system (I'm using common mathematics convention)
Aircraft axes system
To be even more specific, the aircraft-based system that I'm working on has these properties:
1. It's ordered as (roll, -pitch, -yaw), with negative signs representing inverted direction compared to original aircraft system
2. It's always resolved in that order
3. A vector that has roll=0, pitch=0, yaw=0 has θ=0, φ=0
And the spherical coordinate system that I'm implementing takes 1 additional field into account during each conversion, which is roll (as in aircraft's roll). The roll is supposed to be accounted after the vector correctly points at (θ,φ).
If I can choose the resolve-order of the aircraft system then I'm not living in this headache, because if it is possible I'd resolve in (yaw, pitch, roll) order and have the result that I want. But alas, things in programming love to go in the hard way.
So, what is the formulas to have (θ,φ)+(roll) rotation converted to (roll,-pitch,-yaw) rotation?
rotations
asked Jan 12 at 7:15
OverfrostOverfrost
11
$endgroup$
add a comment |
$begingroup$
Spherical coordinate system (I'm using common mathematics convention)
Aircraft axes system
To be even more specific, the aircraft-based system that I'm working on has these properties:
1. It's ordered as (roll, -pitch, -yaw), with negative signs representing inverted direction compared to original aircraft system
2. It's always resolved in that order
3. A vector that has roll=0, pitch=0, yaw=0 has θ=0, φ=0
And the spherical coordinate system that I'm implementing takes 1 additional field into account during each conversion, which is roll (as in aircraft's roll). The roll is supposed to be accounted after the vector correctly points at (θ,φ).
If I can choose the resolve-order of the aircraft system then I'm not living in this headache, because if it is possible I'd resolve in (yaw, pitch, roll) order and have the result that I want. But alas, things in programming love to go in the hard way.
So, what is the formulas to have (θ,φ)+(roll) rotation converted to (roll,-pitch,-yaw) rotation?
rotations
asked Jan 12 at 7:15
OverfrostOverfrost
11
$endgroup$
Spherical coordinate system (I'm using common mathematics convention)
Aircraft axes system
To be even more specific, the aircraft-based system that I'm working on has these properties:
1. It's ordered as (roll, -pitch, -yaw), with negative signs representing inverted direction compared to original aircraft system
2. It's always resolved in that order
3. A vector that has roll=0, pitch=0, yaw=0 has θ=0, φ=0
And the spherical coordinate system that I'm implementing takes 1 additional field into account during each conversion, which is roll (as in aircraft's roll). The roll is supposed to be accounted after the vector correctly points at (θ,φ).
If I can choose the resolve-order of the aircraft system then I'm not living in this headache, because if it is possible I'd resolve in (yaw, pitch, roll) order and have the result that I want. But alas, things in programming love to go in the hard way.
So, what is the formulas to have (θ,φ)+(roll) rotation converted to (roll,-pitch,-yaw) rotation?
rotations
rotations
asked Jan 12 at 7:15
OverfrostOverfrost
11
asked Jan 12 at 7:15
OverfrostOverfrost
11
asked Jan 12 at 7:15
OverfrostOverfrost
11
asked Jan 12 at 7:15
OverfrostOverfrost
11
asked Jan 12 at 7:15
OverfrostOverfrost
11
11
add a comment |
add a comment |
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