HI

In an orbital system , the gravitational force=centripetal force from the energy principles again .

,

where G is the gravitational constant , M is the mass of planet , m : mass of satelite , r : orbitral radius

Since GM are both constants ,

At apoapsis , r=4989 , v=1.36

At periapsis , r=2959 , v=??

Now substitute appropriately ,

----- 1

---- 2

Divide them to get v which is approximately 1.77 km/s