I have calculated the apogee of a 2.5kN avg. thrust sounding rocket once ignoring drag and then assuming maximum constant (magnitude and direction) drag after burnout. Here are the figures I used in my calculations:
Rocket:
- Carbon body and payload: 6 000 g
- Propellant: 8 496 g
- Motor (N2501) at burnout: 4 604 g
- Average thrust: 2501.8 N
- Burn time 6.09 s
- Total drag coefficient: 0.54
Other constants:
- Nominal launcher elevation angle: 75°
- Frontal area 𝐴 ≈ 0.0103 m2
- Constant air density of 𝜌 ≈ 0.631 kg m−3
To my surprise, the results were dramatically different (~47km vs ~4km). Where should I expect the actual apogee to be within this range and why?