# Questions tagged [spherical-coordinates]

Questions on spherical coordinates, a three-dimensional coordinate system where a point is represented in terms of its distance from the origin, and its latitude and longitude angles (or complements thereof).

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### Converting between two spherical coordinate systems with an application to astronomy

I am currently working on a sub-problem of a larger problem which involves being able to efficiently align an equatorial telescope mount with greater precision than the conventional amateur method, ...
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### evaluate $\iiint\limits_{B}^{} \cosh \left ( x+y+z \right ) dxdydz$, where $B=\left \{ \left ( x,y,z \right ) \in R^3|x^2+y^2+z^2\le 1 \right \}$

Evaluate $\iiint\limits_{B}^{} \cosh \left ( x+y+z \right ) dxdydz$, where $B=\left \{ \left ( x,y,z \right ) \in R^3|x^2+y^2+z^2\le 1 \right \}$ Since B is a unit ball which centers at the origin, ...
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### Spherical → Spherical Coordinate System Matrix Transformation, Assuming Common Origin. Geographic vs Geomagnetic North Pole

Background: I would like to model the Earth's magnetic field with the magnetic dipole approximation. This is a low-level approximation with the following magnetic vector field in spherical coordinates ...
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### Extract Spherical coordinates of panorama from camera pose information and panorama (+pixel) size for correct position in a 3D space.

I am working with spherical image representation. I have the following camera pose information: [pose.rotation.x, pose.rotation.y, pose.rotation.z, pose.rotation.w], [pose.translation.x, pose....
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### How to change from cartesian coordinate to cylindrical coordinates

Consider the triple integral $$\iiint_{K} \frac{z}{2+ x^2 + y^2} dV$$, where K is the region defined by $z \geq \sqrt{x^2 + y^2}$ and $x^2 + y^2 + z^2 \leq 9$. The question then asks me to rewrite the ...
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### Converting a cross product typically found in electrodynamics between coordinate systems

Context There are numerous posts on mathstackexchange and physicsstack exchange that seek clarity regarding conversion from a Cartesian coordinate system to curvilinear coordinate system, or viceversa ...
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### Magnitude of Vector Field at a point in Spherical Coordinates

I am fuzzy on the process for the following question. If I could get a walk through on the solution process I would be very appreciative. The soln manual only gives the answers. Field and Wave ...
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### What is the distribution of Cartesian coordinate x, y, z if the spherical coordinate r, $\theta$ and $\phi$ are all Gaussian distribution?

Assuming that I know the spherical coordinate r, $\theta$, $\phi$ are all Gaussian distributions, what will be the distribution of the x,y,z in Cartesian coordinate if I transform r, $\theta$, $\phi$ ...
The question basically. I was able to find rho and theta $rho$ and $theta$ as $\int_1^5\int_0^2pi$,(2pi is the top limit), respectivley. I can't find $phi$ though and I'm assuming thats wrong. My ...