# Tagged Questions

A set of numbers used to quantify location in space.

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### Confusion between primed and unprimed coordinates

While deriving Ampere's law in Magnetostatics we come across a term $\nabla\times J(r') = 0$ and the reasoning we give is because current density is only a function of primed coordinates hence it's ...
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### Evaluating derivatives with respect to certain vector axis

So, I am trying to work in Spherical coordinates. I have a predefined fixed axis, $\hat{v}_0$, so that $\alpha=\vec{r}.\hat{v}_0$ Now, I am interested in the following: f(r,\alpha)=\...
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### Accelerometer Pitch and Roll Calculation

I am developing an application for a device that needs to know its tilt/orientation, specifically, pitch and roll. Roll is positive if the right side of the device is elevated, and pitch is positive ...
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### Test bodies general relativity

I'm studying section 82 of the Landau & Lifshitz Field Theory vol.2 In this page it's written that the relative position of test bodies can't remain unchanged during time. And ok with this. But ...
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### How do I compute the galactic cooridinates of the Earth for a given date?

The question is simple enough, but I wasn't able to find any tools online. Does anyone know of one, or a simple formula?
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### What exactly are generalized coordinates and how do they differ from regular coordinates?

I'm trying to learn the basics of Hamiltonian mechanics, which typically distinguishes itself from Newtonian mechanics as being described in terms of "generalized coordinates and momenta". What ...
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### Active and passive transformations and the change in potential energy

Under active transformation, the particle moves. On the other hand, for a passive one, the coordinate is just relabel. I've read that the passive one will not affect the potential energy and the ...
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### Curved space to flat space calculation

When changing the curved space co-ordinate into a flat space co-ordinate if a cone. I got the result transformation that i cannot get a transformation at the vertex(apex) why?
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### is it possible to construct a contravariant basis in 1D

why is the magnitude of the basis vector at the point differ by a scale factor when considering the tangent as compared to the normal to the coordinate surface? what exactly is the coordinate surface ...