Nitpick: Your number of orders of magnitude is off by a (binary) order of magnitude.
The speed of light is about 300,000,000 m/s. (In fact it's exactly 299,792,458 m/s, because that's how the metre is defined.) So 3,000 m/s is off by five (decimal) orders of magnitude, not two.
The speed of light is about 300,000,000 m/s. (In fact it's exactly 299,792,458 m/s, because that's how the metre is defined.) So 3,000 m/s is off by five (decimal) orders of magnitude, not two.