Accelerations and rates at a far away point.

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SUMMARY

The discussion focuses on calculating the accelerations and angular rates at a pilot's position in an airplane, given the accelerations [ax, ay, az] and angular rates [p, q, r] at the center of gravity (cg). The key challenge is the need for velocity data to differentiate between rates and accelerations, particularly in a flight simulation environment. The user is already integrating accelerations to derive speeds and displacements, indicating a foundational understanding of the necessary calculations. However, the consensus is that without additional velocity information, accurate calculations at the pilot's position remain unattainable.

PREREQUISITES
  • Understanding of accelerations and angular rates in aviation dynamics
  • Knowledge of vector mathematics for 3D spatial analysis
  • Familiarity with integration techniques for deriving velocities from accelerations
  • Experience with flight simulation environments and their data handling
NEXT STEPS
  • Research methods for calculating accelerations at a point using vector transformations
  • Learn about the integration of accelerations to derive velocities in flight dynamics
  • Explore the use of quaternion mathematics for angular rate calculations
  • Investigate simulation tools that provide real-time velocity data for accurate modeling
USEFUL FOR

Aerospace engineers, flight simulation developers, and anyone involved in the dynamics of aircraft motion will benefit from this discussion.

jean507
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Considering I know the accelerations [ax, ay, az] and angular rates [p, q, r] at the center of gravity (cg) of an airplane. How can I calculate the accelerations and angular rates at the pilot's position (p).

I have information about the distance between the cg and the pilot's position which could be characterized by a 3 dimensional vector (R).

Any help would be appreciated.

Best regards to all.
 
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You can't.
There isn't enough information.

Consider a simple situation where the COG measures a vertical acceleration. With no forward acceleration but a non-zero rotation in pitch.
This motion could indicate that the craft is climbing rapidly in a pure vertical accelerated ascent and rotating, or it could mean that it is spinning around an axis (looping).

You need the velocities. (Or you need to be able to derive them - which means integrating the acceleration over time)
 
I understand what you mean with your example, this is exactly what I could not understand (how to differentiate between a rate and an acceleration as they could have the same effect on a far away point).

I have a continuous signal over time. I am working with a flight simulation environment. As matter of fact, I am already integrating the accelerations twice to get the speeds and displacements.

Is it possible to do then? How?
 

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