- #1
bemigh
- 30
- 0
Hey Everyone.
I'm ALMOST finished this problem...
To spare you the long story, I need to take the difference between an gravitational acceleration, and the same gravitational acceleration at a slightly larger height.
The two functions are a(r) and a(r+d), where d is very small
Now... VERY SMALL tells me one thing... Taylor expansion. And this is what i have been advised to do.
My only problem is... how do i go about this?
I have the function f(a) = constant/r^2 which is just Newtons inverse square law of gravitation.
Now, i know that the function for a Taylor Series is going to be something like this:
F(x) = f(a) + xf'(a) + x^2/2 * f''(a) + ...
But how do i go about differentiating f(a), and what is x?
Thanks for the help
I'm ALMOST finished this problem...
To spare you the long story, I need to take the difference between an gravitational acceleration, and the same gravitational acceleration at a slightly larger height.
The two functions are a(r) and a(r+d), where d is very small
Now... VERY SMALL tells me one thing... Taylor expansion. And this is what i have been advised to do.
My only problem is... how do i go about this?
I have the function f(a) = constant/r^2 which is just Newtons inverse square law of gravitation.
Now, i know that the function for a Taylor Series is going to be something like this:
F(x) = f(a) + xf'(a) + x^2/2 * f''(a) + ...
But how do i go about differentiating f(a), and what is x?
Thanks for the help