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Jul 1, 2015 at 13:35 comment added honeste_vivere Note that you should take the total time derivative of things like $\tan{\phi}$ to avoid this issue.
Jul 1, 2015 at 13:34 comment added honeste_vivere If you are dealing with spacecraft and you need not worry about any "dramatic" maneuvers (e.g., orbital insertion at a moon or something), then you can just use a cubic spline and increase the time resolution without worrying about artifacts too much. Just make sure not to extrapolate the end points, then recalculate your velocities. Otherwise you will need to take the derivative of inverse functions, which can cause problems numerically.
Jul 1, 2015 at 13:12 comment added Itay Perl Yeah, I'm already using something similar to the second method to extract Euler angles. I know that technically I can numerically calculate their time derivatives, but since my attitude estimation algorithm is somewhat filtered, I hoped that a calculation directly from the angular velocities will be more reliable with low delay.
Jun 30, 2015 at 20:34 history answered honeste_vivere CC BY-SA 3.0