-
because I'm living in two dimensions.
-
Now, on the left-hand side, I have this new result,
-
G·M·m / r^2 times--I'm going to use a symbol,
-
r-hat, which is very common;
-
r- anything with a hat on is a vector of unit length,
-
pointing in the direction of the regular vector r.
-
So if you want,
-
if r is the position vector of an object, whose length is r,
-
r-hat is a little guy whose length is 1,
-
and which points in the radial direction.
-
So, this is your equation.
-
It's then a problem in calculus, to solve the equation,