so a quick google search of the speed earth is orbiting the sun is 67,000 mph..add to this the sun is orbiting the galactic centre at 514,000 mph..so how is it possible that the north star remains fixed when we are moving at a total speed of 581,000 mph..
Junker's explanation isn't quite correct. I'm honestly not sure if Polaris is moving along with us or not. It is relatively close to us, so it is
probably orbiting the milky way at approximately the same rate as the sun.
Keep in mind, "relatively close" in this context is on the order of several hundred light years. Polaris is approximately 430 lightyears away from us. That's 2,500,000,000,000,000 miles. So let's assume the worst case scenario: Polaris is moving perpendicular to us at 1,000,000 mph. Surely, we would easily be able to see it move, right? Let's do the math:
At 1,000,000 mph Polaris will have moved 8,760,000,000 miles during a single year.
atan(8,760,000,000 miles / 2,500,000,000,000,000 miles) = 0.0002 degrees
That's tiny. At this rate, for Polaris to move 1 degree in the sky, it would take
5000 years. The vast distances between stars can be difficult to imagine. It should not be surprising at all that Polaris stays relatively fixed in the sky.
Very convenient for RE, I agree...
I'm not sure what you mean by "convient". It is indeed convenient for navigational purposes that there is a bright star very close to the north celestial pole. The south celestial pole has no such luck. (Although the very existence of the south celestial pole is hard evidence that the earth is NOT flat).