Velocity and proper acceleration

[rhz_prog]

Do someone have links to resources stating the relationship between IRF velocity function over time v(t) and the proper acceleration function over time a(t) ?

IRF=Inertial Reference Frame

I had tried to use materials inside Baez FAQ :

http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html

and did the math in my blog :

http://orimath.blogspot.com/2008/08/mathematical-basis-of-rtc7683.html

But it seems that equation 8 in that mathematical attempt is wrong.


Thanks in advance for your help.

 

[DrGreg]

Do someone have links to resources stating the relationship between IRF velocity function over time v(t) and the proper acceleration function over time a(t)?

I haven't had time to read your blog, but you might find posts #13, #14, #15 (and the correction in post #28) of this thread helpful. All except the second half of post #15 applies to both uniform and non-uniform acceleration (in a straight line).

 

[Entropia]

Unfortunately, I am not able to access the specific links you have provided. However, in general, the relationship between velocity and proper acceleration in an IRF can be expressed through the following equation:

a(t) = γ^3 * v'(t)

Where a(t) is the proper acceleration function over time, v(t) is the velocity function over time, and γ is the Lorentz factor. This equation can also be written as:

a(t) = γ^3 * dv(t)/dt

This relationship shows that the proper acceleration experienced by an object in an IRF is directly related to its velocity and the Lorentz factor. As an object's velocity increases, so does its proper acceleration. This is due to the fact that as an object approaches the speed of light, the Lorentz factor increases and causes the proper acceleration to also increase.

You can find more information on this topic in various resources such as textbooks on relativity and online lectures on special relativity. Some recommended resources include:

1. "Introduction to Special Relativity" by Robert Resnick and David Halliday
2. "Special Relativity and Classical Field Theory" by Leonard Susskind and Art Friedman
3. "Special Relativity" lecture series by Leonard Susskind on YouTube
4. "Spacetime Physics" by Edwin F. Taylor and John Archibald Wheeler

I hope this helps and clarifies the relationship between velocity and proper acceleration in an IRF.