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Find the optimal mass for a three-stage launch vehicle that is required to lift a 4,000 kg payload to a speed of 10.0 km
Posted: Thu May 26, 2022 11:19 am
by answerhappygod
- Find The Optimal Mass For A Three Stage Launch Vehicle That Is Required To Lift A 4 000 Kg Payload To A Speed Of 10 0 Km 1 (138.65 KiB) Viewed 21 times
Find the optimal mass for a three-stage launch vehicle that is required to lift a 4,000 kg payload to a speed of 10.0 km/s. The parameters of each stage are given below: Stage Specific Impulse (s) Structural ratio 1 320 0.12 2 350 0.15 3 390 0.18 (a) Write-down the Lagrange function for the mass optimization problem and derive the equation for the Lagrange multiplier, n. [3 Marks] (b) Find the value of the Lagrange multiplier, n with the accuracy of two decimal places (show all workings) by the Bisection method. Use the interval ŋ = [0.4 0.5] to initialise your solution. [4 Marks] (c) Find mass ratios for every stage. [3 Marks] (d) Find step mass, structural mass and propellent mass for every stage. [3 Marks] (e) Find total mass of the rocket. [1 Marks]