Subject: Congrats on 1/225 000 000th of a galactic year!
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Posted on: 2014-12-18 20:52:00 UTC

It's time for some birthday math. Are you ready?


So, how far have you moved around the galactic centre? It's a remarkably easy question to answer! First, we find the Sun's angular speed around the core.

ω = 2π; / 225*10^6 years ≈ 2.7925 * 10^(-8) radians / year

We know that the distance of the Sun from the Galactic Core is about R =10^18 km. We can then use the good ol' arc length formula you've learnt in high school:

Arc = ω*R = 2.7925 * 10^10 km travelled.


Technically speaking, this isn't the exact distance you've travelled-- this is assuming that the Sun's orbit is perfectly circular (that is, the Sun's eccentricity is equal to 0) but the application of Kepler's Third Law to find the exact orbital period requires the exact distance from the core's centre of mass (which is difficult to find) and the mass of the core itself (which I am too lazy to look up).

Anyways, you'd better cash in those frequent flyer miles before they go to waste!

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