You seem to be mixing up a lot of words that don’t mean what you think they do.
Astrology is telling the future by looking at the planets and stars.
Astronomy is the science of studying stars (and everything else beyond earth’s atmosphere).
Cosmological usually mean really big scale stuff like studying the universe itself or the big bang or similar. 415 years or 415 light years would be far too small scale to qualify normally for that label.
You say that you want to go to a star that is 415 years away. Years measure time not distance. You probably mean light years.
If you want to know how long it takes to get some place and know the speed you are going and the distance it is at you can just divide the two.
A light year is defined to be exactly 9,460,730,472,580.8 km. we can multiply that by 415 and divide that by the 99700 km/h you asked about and get a number in hours that we only need to convert into years based on the number of hours in a year.
In this case that works out to be about 4.5 million years.
If you were going faster we would need to bring relativity into the math, but the speed you are suggesting while insanely fast is still less than one ten-thousands of the speed of light, so we need not bother.
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