Question: Hypercatz is a new Australian company looking to develop a three stage access-to-space system using a rocket-scramjet-rocket system. You have been tasked with performing

Hypercatz is a new Australian company looking to develop a three stage access-to-space \ system using a rocket-scramjet-rocket system. You have been tasked with performing some \ initial performance calculations for their proposed system. Assume a veff of 9 km/s for the \ whole launch.\ The first stage is a rocket with an Isp of 300 seconds, a structural mass fraction of 0.12, and \ which accelerates an effective \\\\Delta v of 2 km/s.\ The second stage is a scramjet with an Isp of 2,200 seconds, a structural mass fraction of 0.5, \ and which accelerates an effective \\\\Delta v of 2 km/s.\ The third stage is a vacuum optimised rocket with an Isp of 350 seconds and a structural mass \ fraction of 0.12.\ What total payload mass fraction can the system get to orbit?

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