Orbital velocity formula = root GM/R+ h = R root (g/ R + h) R is radius of planet and - Physics - Gravitation

Question

Orbital velocity formula = root GM/R+ h = R root (g/ R + h) R is
radius of planet and h is height of satellite from surface of
planet Here g isn't equal to 9 8? As g( R+h)^2 = GM and here
distance is R+h and GM is constant so g isn't 9 8 in the formula?
As for earth distance is R and not R+h so then g =9 8 Then why we
write g and not g'?

Vara · Accepted Answer

Dear
Student,
Please find below the solution
to the asked query:

g (R+h)^2 is not equal to GM because g is the acceleration due
to gravity at the surface of earth
As the value of g at surface of earth is g = GM / R^2, we an
write gR^2 = GM
So, there is nothing wrong to write as 'g' since it is the
acceleration due to gravity at the surface of earth
The value of g at surface of earth can be taken as 9 8
m/s^2

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