Okay, I think I'm starting to get it. Thank you for the help, DH, for making that clear connection between the integral constant C and x0. I'm making an important mental note not to change the form of definite integrals to simplify constants, as I may need them for later integrations.
From...
What about the constant of integration (C)?
I'm confused now. You told me earlier that velocity is zero when at distance x0. How am I going to find the constant of integration if I keep everything symbolic? Or is x0 the important constant you're referring to?
Also, when I integrate...
I know that the final answer after all the integration should be
\mathrm{T}=\frac{\pi x^{3/2}}{2\sqrt{2GM}}
But I can't seem to get anywhere remotely close. Maybe I'm not getting the right constant? (I tried plugging it in at distance \mathrm{x}_0=1.496\times10^{11} meters into...
Well this is assuming that Vi = 0, so it's like a free-fall problem. This should make it much simpler.
How did you get that number (27 days)? And how can I find the missing constant of integration?
Can you please walk me through it?
Hello, physicsforums. I'm trying to write a proof for a function involving Newton's law of gravitation, and I seem to be stuck. The function I'm trying to build is a function of time with respect to distance.
This is the formula I want to transform.
\mathrm{A}=-\frac{GM}{x^{2}}
For...