Recent content by aydos

Great references, thank you that all I needed!

Hi @Baluncore , thanks so much for your reply. That is exactly what I was looking for. One doubt remains for me. Its about the (RofC + h) term at line 10. The actual height reported by the GPS is not parallel to the ellipsoid radius, rather perpendicular to the ellipsoid surface. Am I correct to...

A slightly more concrete example: A GPS mounted on a climbing aircraft produces observations P1 and P2. What is the shortest distance between P1 and P2 in meters?

I know my diagram is simple, but the question still valid, no? Would you be able to help?

No.

This seems like a trivial question at first, but I am struggling how to get it right. If I have 2 GPS (lat, lon, height) observations P1 and P2 taken at some height from the Earth's surface, how do I calculate the straight line distance between them? I am using the picture below to illustrate...

Being scratching my head for 2 days and not getting anywhere with this one. I am trying to figure out how to perform a 3D rotation described via a mix of intrinsic and extrinsic angles. Here is the problem: I have a platform in the shape of a box with sides of length lx, ly and lz. The platform...

Hi FactChecker, you were on to it. I found the solution by searching for "euler angle rates". Section 1.3 of this link.

Yes, ok. I think this is how to rotate back from body to frame given the original yaw, pitch and roll. I think I was not 100% clear on the problem. Let's say in the body frame, I have a yaw angle with respect to the body frame. What is the yaw, pitch and roll angles with respect to the inertial...

Only recently started to understand Euler angles and rotation matrices, and I am reasonably comfortable with the concepts already posted here. I am pretty sure I am missing something obvious, but I cannot figure out the way to solve this problem: A body in 3D space with a orientation defined by...

Yes.

Good question, yes it varies with time. We need to make real-time decisions that will optimally minimize the sum from t_0 to t_Inf. However, I would be happy with solving from t_0 to t_N where N is a receding horizon. Also I just realized that we are trying to minimize the sum of squares of the...

Hi, I have a optimization problem and I need to find a way to solve it even if only with an approximate solution. Let's suppose we have a finite set of vertical containers each with a distinct liquid chemical inside.(say a handful of vertical pipes). At the top, these containers have an...

Problem: I have a sensor monitoring a process which is controlled by a feedback controller. This sensor fails from time-to-time and I need to replace it with a new one. I have always used the same type of sensor, say type A. Some sensor manufacturers are offering me an alternative sensor...

Thanks for the replies and I am sorry for the confusion in notation, I meant to write \hat{\sigma}^2_x instead of \hat{\sigma}_x. Both replies from mXSCNT and statdad were very useful. I did not realize the solutions are different for different assumptions about the populations. I still...