What is the approximate mass density of dark matter in our solar system at the radius of the Earth's orbit?
I would like some idea of the mass of dark matter going through each cubic meter of material on earth.
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asked Mar 8, 2014 at 19:48
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$\begingroup$ Related (possible duplicate): physics.stackexchange.com/questions/56141/… $\endgroup$– Kyle KanosCommented Mar 8, 2014 at 19:51
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$\begingroup$ Actually after surfing the net it looks like the density of dark matter in the center of the milky way is about 1 proton mass per cc. $\endgroup$– John EastmondCommented Mar 8, 2014 at 20:09
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$\begingroup$ Well, let's at least word this as "theoretical localized dark mass density," since we don't yet know if there is such a thing, or where/how it exists. $\endgroup$– Carl WitthoftCommented Mar 8, 2014 at 21:43
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2 Answers
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According to Constraints on Dark Matter in the Solar System the following upper limits have been placed on dark matter in the solar system, based upon orbital motion of bodies in the solar system:
At the radius of Earth's orbit: $1.4 \times 10^{-19} \mathrm{g/cm^3}$
At the radius of Mars's orbit: $1.4 \times 10^{-20} \mathrm{g/cm^3}$
At the radius of Saturn's orbit: $1.1 \times 10^{-20} \mathrm{g/cm^3}$
According to Local Density of Dark Matter, the density of dark matter at the Sun's location in the galaxy is $0.43 \,\mathrm{GeV/cm^3}$ or $7.7 \times 10^{-25} \mathrm{g/cm^3}$
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$\begingroup$ With error bars (adding uncertainties in quadrature) it is $(0.4\pm 0.1)$GeV/cm$^3$. $\endgroup$– VirgoCommented Jul 15, 2015 at 7:26
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2$\begingroup$ Or in other words, roughly 400 thousand protons' mass of dark matter per cubic meter or about half a proton's mass per cubic centemeter. $\endgroup$– VirgoCommented Jul 15, 2015 at 7:31
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Density of dark matter in the Sun's orbit (Sun rotates with speed υ ≈ 220 km/s at a distance r = $2.57\times 10^{20}$ m from center of Milky Way ): ρ☼=$8.737\times 10^{−22}$ $kg/m^3$ = $78.5\ \mu J /m^3$ or 522000 protons/m$^3$. To learn more, you can find in mini-novel "Flippon" at the Flippin Theory website: http://www.science.uwaterloo.ca/~kdvorski/TheFlippingTheoryWebSite/pdf/Flippon-First%20Edition.pdf
