- #1

Well known equations in rocketry are:

Delta Velocity = Ejection Velocity * ln (Final Mass / Initial Mass )

and

Net Thrust = Mass Ejection Rate * Ejection Velocity – Current Mass * Acceleration

The first equation does not refer to Mass Ejection Rate. If the Mass Ejection Rate (MER) is too small the thrust will not be sufficient for the rocket to take off. Increasing the MER one might get:

Rocket takes off once Thrust > Weight

Rocket takes off immediately at low acceleration

Rocket takes off immediately at high acceleration

Questions: Ignoring drag, is there an optimal thrust that provides maximum delta V for a rocket taking off from the ground?