Two-Stage Rocket Problem, Please Help!?
There is a vehicle that utilizes a chemical rocket. It is to be used for escape of a payload of 100,000 Kg from earth. The vehicle is to have 2 stages, each with the structural coefficient of 0.06 and Specific Impulse of 400 s. Both have the same payload ratio. Please could you tell me how the total mass of the vehicle (Mo1) can be calculated?
Answer:
If you want to account for gravity, I doubt that this can be as closed math solution. You need to do a simulation maybe with excel. The issue is that the accelleration changes not only because the fuel is being consumed but also because you are getting farther from the center of the earth.
If we can ignore gravity and merely calculate what it takes to get to escape velocity, this is doable. Escape velocity as you probably know is 11.2 km/sec.
The additional piece of info is that delta v of a stage equals the exhaust gas velocity times the natural log of the mass ratio. This is in space and not climbing out of a gravity field.
Im sorry I dont have more time to develop/remember this stuff - 40 years ago I knew it by heart.
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Answer:
If you want to account for gravity, I doubt that this can be as closed math solution. You need to do a simulation maybe with excel. The issue is that the accelleration changes not only because the fuel is being consumed but also because you are getting farther from the center of the earth.
If we can ignore gravity and merely calculate what it takes to get to escape velocity, this is doable. Escape velocity as you probably know is 11.2 km/sec.
The additional piece of info is that delta v of a stage equals the exhaust gas velocity times the natural log of the mass ratio. This is in space and not climbing out of a gravity field.
Im sorry I dont have more time to develop/remember this stuff - 40 years ago I knew it by heart.
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