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A formula describing orbital speed in a spherical galaxy according to Newtonian gravity. The speed a distance r from the center is equal to the square root of (Newton’s constant G times the mass M(r) within a sphere of that radius, divided by r). In LaTeX v = \sqrt{\frac{G M(r)}{r}}

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A formula describing orbital speed in a spherical galaxy according to Newtonian gravity. The speed a distance r from the center is equal to the square root of (Newton’s constant G times the mass M(r) within a sphere of that radius, divided by r). In LaTeX v = \sqrt{\frac{G M(r)}{r}}
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Robert McNees (mcnees@mastodon.social)'s status on Sunday, 23-Jul-2023 19:53:33 UTC Robert McNees
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To keep things simple, imagine a spherical galaxy.
According to Newton, a star at distance r from the center of the galaxy should orbit with speed that depends on r and the amount of galactic mass M(r) out to distance r.
In the formula below, G is Newton's constant, 6.67 x 10⁻¹¹ m³ kg⁻¹ s⁻².

In conversation Sunday, 23-Jul-2023 19:53:33 UTC from mastodon.social permalink