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I havn't really looked into in what relation you want to place Gyroscopes with the Center of Mass myself, but it is always a good idea to use the Center of mass and evenly place Gyroscopes in relation to it, although I am unceartain if to close them close to it, or as far away as possible for max Efficency, I usualy place them on the furthest corners of my ships.
Noted, Gyroscope placement also Alters the Center of Mass, effectively moving it, which can be handy if you desire to move it without changing the Ships design.
Your gyroscopes can be placed anywhere, but be aware that they greatly change the center of mass (and therefore the point from which your ship turns).
If you've ever had to do the math on using a torque wrench with an off-center adapter, you'll understand this in an intuitive way. =)
No, the problem with a crow's foot adapter on a torque wrench is that it changes the overall lever arm length. The torque wrench isn't actually measuring torque directly; it's measuring a force, and displaying a torque that's calculated using the known length of the wrench. Change the length, change the torque.
Seriously, in real-world actual physics, applying a given torque to a rigid body results in exactly the same angular acceleration, no matter which point the torque is applied to. It's an immediate consequence of momentum conservation.
I don't doubt it. Gyrosopes are quite massive, so if the physics engine in SE does an accurate calculation of moment of inertia, that could explain it. It's not that the gyroscope works more effectively based on its location, but moving mass closer to the center of mass will reduce the moment of inertia, making the ship inherently easier to turn. You'd get the same improvement by moving an equal mass of other parts closer to the center.
That is, a ship with unsymetric off centeer trusters will experience no rotation.
(if so not RL physics, but what can you do?)
Was whatever wiki or post I read that on mistaken?
Notice the ship rotates around the gyroscopes' center of mass.
https://www.youtube.com/watch?v=aZQX3ubnFuo
EDIT: This might be a little misleading, seeing how they used gyros to offset the mass in the video. After testing it to verify, it is indeed rotating around the center of the ship's mass, but the gyros have signifigantly altered the center of mass due to their weight.