Ratio between change of Energy(Gravitational Potential) I would like some assistance in understanding the ratio of change in energy between two objects. In this case, if object A goes from rest to an altitude (h) above earth but does not begin an orbit versus object B goes from rest to the same altitude and then proceeds to orbit the earth. The variables are as follows: Re=radius of earth h=altitude G=universal gravitational constant M=mass of earth m=mass of object(A=B, also known as A and B are the same) I'll need to transcribe my findings, which until now when comparing to my professors simplication are slightly off, a little later. I was told my error might occur in the initial change of energies for the respective objects, and this may very well be true. However, I did come across great challenges at first when trying to find a GCF for the variable laden energies. What I've been using prior to simplication: Object A = change in Eg = Eg2 - Eg1 Object B = change in total energy = Ek - Eg1 Eg as known is a negative value while Ek is positive. Any help is appreciated and I understand little help may be offered since I've yet to put up the actual attempts, but when I have more time I'll transcribe my most recent effort into mspaint.