What Are Multipoles? Answers & More

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Multipoles refer to mathematical methods used to analyze long-range interactions, particularly in the context of Coulombic forces from groups of charges through multipole expansions. These algorithms simplify the calculation of pairwise interactions by leveraging symmetry and dividing space into grids, allowing for efficient computation by only calculating interactions within each grid. The discussion also touches on the concept of gravitons, which are theorized to emulate a quadrupole to generate gravitational waves. The links provided offer additional resources for understanding the fundamentals of multipoles. Overall, multipole methods are essential for optimizing calculations in physics and engineering applications.
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What is a multipole? or, perhaps, more appropriately, what are multipoles?

The whole subject of multipole algorithms is infinitely unclear to me, so literally any information will be helpful.
 
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if this can help...:smile:

http://www-aix.gsi.de/~weick/gico/gicohow/node17.html

http://mad.home.cern.ch/mad/mad/mad9/conversion/node4.html

http://www.mpip-mainz.mpg.de/~gelessus/pubs/pub4.html
 
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As Sulaiman already provided some good links on the basic idea of what a multipole is, here's a bit of the rest...

Multipole algorithms/methods generally refer to the procedures used to solve problems where you have to find the long-range Coulombic forces from a group of charges via a multipole expansion of the potential. In a more general sense, it's a way to determine pairwise interactions by essentially taking advantage of the symmetry of the problem, dividing the space into grids, and then first calculating within each grid and more or less summing up their subtotals. So, after a fashion, instead of calculating each and every pairwise interaction of a system, you only calculate the pairwise interactions explicitly within the grid so as to save yourself time and CPU/memory capacity.

Added after edit: Sorry about that, Sulaiman. :) I've fixed it now.
 
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The graviton, having exclusively attractive force of infinite extent, is supposed to emulate a quadrupole in order to generate gravitational waves.
 
As Stranger already

Can you please call me Sulaiman...thanks :smile:
 
Originally posted by Loren Booda
The graviton, having exclusively attractive force of infinite extent, is supposed to emulate a quadrupole in order to generate gravitational waves.

I was actually wondering what a multipole was because of gravitons:smile: Funny you would use that example.
 
comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...
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