Result of orbit design earth to GEO

To reach LEO, we have found that V_leo=7.844 km/sec. To be more realistic, we need to account for the gravitational loss and drag. Typical time to reach LEO is about 2 minutes or 120 seconds. Hence additional ΔV to account for gravity loss is gΔt=9.8(120)=1176 m/sec =1.176 km/sec.
For the drag effect, it of course depends on the rocket cross sectional area, the drag coefficient and air density. A typical value I have seen in the literature for typical rockets is to use 5% of the LEO velocity to account for drag. Hence an additional ΔV for drag will be 5% of 7.844 km/sec or 0.392 km/sec.
Hence total ΔV to reach LEO = 7.844+1.176+0.392=9.412 km/sec
Final ΔV from earth to final probe position is shown in next diagram.

To reach LEO, we have found that V_leo=7.844 km/sec. To be more realistic, we need to account for the gravitational loss and drag. Typical time to reach LEO is about 2 minutes or 120 seconds. Hence additional ΔV to account for gravity loss is gΔt=9.8(120)=1176 m/sec =1.176 km/sec.