I have tried asking this question on many forums and have so far failed to get a clear answer. Here is the problem. A body with a negligible mass is falling from a distance $R_1$ in a gravitational field of a another body with a mass of $M$. What would be the position $R_2$ of the falling body after $t$ amount of time. Conversely, how long would it take for the falling body to travel the distance R1-R2?
Since the gravitational acceleration $g(M,R)$ is a function of distance $R$, the falling body should experience jerk. Would the jerk itself be constant? What is the equation for this jerk?
I want an equation that clearly shows the relationship between position (distance from the source of gravity), mass (of the source of gravity and time (that has elapse since the start of the fall) WITHOUT assuming that g = constant. All equations I could get assume g(R,M) is not a function of R and that is not what I want.
I am looking for two clear formulae: -for time as a function of distance and mass, -for distance as a function of time and mass
