RGClark
Mathematician
I did not say that. I ran some quick and dirty sims in Openmotor with a different design and came up with around a 20% difference between sea level and vacuum ISP, and applied that to several different commercial motors. The M2050 has a very high sea level ISP of 245s, and if given a larger nozzle may have a 290s vacuum isp, but that is a very rough guess, and I would not bet any money on it.
Again, you have disregarded the mass and complexity of every single system of the rocket outside of the motors. Your fantasies have little to no basis in reality.
I am certain that a sane analysis of a rocket using solid rocket motors with a usable payload of around a 3U cubesat would end up converging on something very similar to the SS-520, which is far beyond the capabilities of any amateur group. Nobody that can manufacture literal tons of APCP is an amateur.
The SS-520 is in the 650 to 1 gross mass to payload range. So a 1 kg payload would be in the range of a 650 kg rocket. Amateurs have made 200 kg rockets, so 650 kg is conceivable.
The Aerotech commercial motor K1103 does have a 290s vacuum Isp using their “Propellant X” formulation“ (fact sheet attached). So their other Propellant X motors the M2050 and the O5280 likely can have 290s vacuum Isp with the right sized vacuum nozzles.
Bob Clark