Suppose a comet F ,at 1 AU distance, is travelling toward a massive body (a neutron star or other) with v= .99 c, suppose also that a = 3 km/s^2 and (to simplify calcs) that it is uniform from there to the star. It will hit the star after ca. 1000 seconds and its speed should equal C: 297*10^9 cm/s + 3*10^5*10^3
But if we take into account relativity, its speed will be much smaller, right? Now, what is the formula to find the actual final speed of F when it hits home?
I found this formula at/√1+ a^2 t^2/C^2 but it's useless here, and probably wrong altogether., since we can apply it to body B (with v0= 0) because it's not greatly affected by relativity, but the result is not exact.
Do you know the formula we must use to find the relativistic increase of velocity? from other calcs the velocity of F should be .9902 or so
Thanks
But if we take into account relativity, its speed will be much smaller, right? Now, what is the formula to find the actual final speed of F when it hits home?
I found this formula at/√1+ a^2 t^2/C^2 but it's useless here, and probably wrong altogether., since we can apply it to body B (with v0= 0) because it's not greatly affected by relativity, but the result is not exact.
Do you know the formula we must use to find the relativistic increase of velocity? from other calcs the velocity of F should be .9902 or so
Thanks
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