Flight Profiles
Unha

 Lift-off  Vehicle = 0 sec Unha-2 Unha-3 #1 Unha-3 #2 Unha-3 #3

Burnout first stage

 + 120 + 120 + 120 + 120

Separation first stage

        

Ignition second stage

 + 120 + 120 + 120 + 120

Jettison fairing

 ?  - ?  

Burnout second stage

 + 350 - + 320 + 340

Separation second stage

  ?  -    

Ignition third stage

 + 430  - + 320 + 340

Burnout third stage

 +542  - + 563 + 583

Separation spacecraft

    - + 567 + 586


Estimation of the terminal velocity (dV):
[dV = Isp [Ns/kg] * ln (Mf/Me)]

1. -- Mf - first stage: Total mass of the launcher
        Me - first stage: Empty mass of the first stage +second and third stage +fairing +payload

2. -- Mf - second stage: Total mass of the second +third stage +payload
        Me - second stage: Empty mass of the second stage + third stage  +payload

3. -- Mf - third stage: Total mass of the third stage with payload
        Me - third stage: Empty mass of the third stage with payload


  
Unha-3#2 flight path

Unha-2 (second stage for 220 sec propellant)

  vac Isp (sec)  =Ns/kg Mf (kg) Me (kg) Mf/Me ln Mf/Me Isp * ln (Mf/Me)
1st 272 2667 83,809 26,229 3.195

1.16167

3,098
               
2nd 255 2501

14,774

3,453

4.278

1.45355

3,635
               
KM 250 2452

1,215

355

3.421

1.22998

3,016
           

dV Total*

9,749 [m/sec]

 

* dV (vacuum); without losses of about 20% of velocity
Therefore is the real dV nearby  7,800  m/sec  for payload 80 kg

 

Unha-3#2 (second stage for 200 sec propellant)

  vac Isp (sec)  =Ns/kg Mf (kg) Me (kg) Mf/Me ln Mf/Me Isp * ln (Mf/Me)
1st 283 2775 85,404 27,825 3.069

1.12147

3,112
               
2nd 255 2501

16,370

6,370

2.570

0.94384

2,361
               
3rd 290 2844

4,001

951

4.207

1.43683

4,086
           

dV Total*

9,559 [m/sec]

 

* dV (vacuum); without losses of about 20% of velocity
Therefore is the real dV nearby 7,647  m/sec  for payload 100 kg

 

Unha-3#3 (second stage  for 220 sec propellant)

  vac Isp (sec)  =Ns/kg Mf (kg) Me (kg) Mf/Me ln Mf/Me Isp * ln (Mf/Me)
1st 283 2775 86,730 30,375 2.855

1.04918

2,911
               
2nd 255 2501

17,695

6,695

2.643

0.97189

2,431
               
3rd 290 2844

4,026

976

4.124

1.41691

4,030
           

dV Total*

9,372 [m/sec]

 

* dV (vacuum); without losses of about 20% of velocity
Therefore is the real dV nearby 7,619  m/sec  for payload 110 kg