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The Earth travels about 1/12 of its orbit in one month (it moves slower in June and July being farther from the Sun than in December and January when it is closer).

The orbit is about 960 million kilometers long so in a month it travels 80 million kilometers. But the Galactic rotation pulls the Earth making n ddition to that amount. I'll leave that calculation to you.

Some facts to help:

Solar system distance from Galactic center = 30 000 light years

1 light year = 9.5 * 1012 km

Rotational period of Milky Way Galaxy: 220 million years = 2 640 000 000 months

I forget how the Galaxy is moving with respect to another frame of reference...

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13y ago

What else can I help you with?