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HW7 - ratios analysis it is an important topic in...

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MAE146: Astronautics – Homework Assigned: Friday, January 29 th , 2010 Due date: Wednesday , February 3 rd , 2010, (at the beginning of the lecture) Please justify all of your answers. Write your answer cleanly with sentences and diagrams to explain. Don’t forget to write your name on your copy to receive credit. Problem 1 (15pts): On a 3-stage rocket Solve problem 11.4 page 687 of the textbook (new edition). The problem is about a 3-stage, and aims at computing vairous ratios and total rocket Δ V . Problem 2 (15pts): On rocket optimization Solve problem 11.6 on page 687 of the textbook (new edition). The problem is about estimating the optimal mass of the vehicle. Optional problems: To train yourself in constraint optimization, you may want to look at problem 11.5 of the textbook. Besides trade-off
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Unformatted text preview: ratios analysis, it is an important topic in engineering. Also, it is interesting to integrate the equations of motion of a rocket (ignoring drag but including a non-contant gravity model) and investigate the e±ect of various parameters. Sample rocket parameters are given below. • Single stage rocket of total mass of 10 , 000 kg • Total fuel mass of 9 , 000 kg . • Engine: I sp = 300 s , mass ²ow rate: 75 kg/s . • Launch site: Cape Canaveral at longitude of-82 o and latitude of 28 o , sea level. Interesting quantities to observe are the e±ect of the engine performance ( Isp and msas ²ow rate) on maximum altitude, and the e±ect of the ²ight path angle. 1...
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