Recent content by aydos

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    How to calculate the 3D straight line distance between 2 GPS measurements?

    Great references, thank you that all I needed!
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    How to calculate the 3D straight line distance between 2 GPS measurements?

    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...
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    How to calculate the 3D straight line distance between 2 GPS measurements?

    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?
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    How to calculate the 3D straight line distance between 2 GPS measurements?

    I know my diagram is simple, but the question still valid, no? Would you be able to help?
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    How to calculate the 3D straight line distance between 2 GPS measurements?

    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...
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    Mixed intrinsic and extrinsic angles in 3D rotations

    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...
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    A Euler Angles Transform: Rotating a Body in 3D Space

    Hi FactChecker, you were on to it. I found the solution by searching for "euler angle rates". Section 1.3 of this link.
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    A Euler Angles Transform: Rotating a Body in 3D Space

    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...
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    A Euler Angles Transform: Rotating a Body in 3D Space

    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...
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    Optimization with schedule constraints

    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...
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    Optimization with schedule constraints

    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...
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    Statistical test for comparing two error signals

    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...
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    Variance of the union of two samples

    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...
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