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Article #4824Rocket Altitude Simulation
From: Lawrence Curcio
Date: Tue, 06 Oct 1992 17:21
Date: Tue, 06 Oct 1992 17:21
37 lines
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2605 bytes
I'm a model rocket hobbyist, investigating the predictive validity of rocket altitude simulation programs. These programs use a subsonic drag model (Drag Force = -K*Vel^2) to numerically predict altitudes of model rockets, which are fitted with (legal, non-metallic) professionally manufactured engines of known characteristics. No one in the hobby has done this investigation before because K is, in general, unknown. The programs also predict ascent time, however, and it turns out that if you know any one of K, Altitude, or ascent time, you can find the other two. Thus, for each rocket configuration, I graphed allowable values of ascent time and altitude (each of which corresponded to a unique K); I then measured altitude and ascent time directly. The measured points fell nowhere near the curves. Actual ascent times were, in general, much shorter than simulated ascent times for any measured altitude. More sophisticated software, using Runge-Kutte methods didn't do much better. Altitude was measured with 3 elevation-only theodolites, and since vertical trajectories were required, the only accepted flights were those that yielded horizontal coordinates close to the launch pad coordinates. Speeds, estimated directly from the data, are very squarely sub-sonic (using twice average speed). Altitudes are all below 700 feet. Rocket lengths varied between 15 cm and 1 meter. Sensitivity analysis on impulse (I have statistical data on this from static tests), time measurement, launch angle, and altitude demonstrate that the discrepancies are real. Also, I have just found some data taken by another investigator on another project that show the same, very-short ascent times. Could anyone direct me to a helpful source? I'm not a physicist, but I've had math through complex analysis and linear algebra. Also, any helpful comments would be appreciated. Could this, for example, be the result of viscous flow at low speeds? Thanks in advance (Sorry it's so Newtonian), -Larry C.
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Organization: Doctoral student, Urban and Public Affairs, Carnegie Mellon, Pittsburgh, PA Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!iggy.GW.Vitalink.COM!cs.widener.edu!ukma!darwin.sura.net!zaphod.mps.ohio-state.edu!uwm.edu!linac!pacific.mps.ohio-state.edu!cis.ohio-state.edu!news.sei.cmu.edu!fs7.ece.cmu.edu!crabapple.srv.cs.cmu.edu!andrew.cmu.edu!lc2b+ Newsgroups: sci.physics Message-ID: <8eoQg1W00Uh_83vEco@andrew.cmu.edu> Date: Tue, 6 Oct 1992 13:21:05 -0400 From: Lawrence Curcio <lc2b+@andrew.cmu.edu> Subject: Rocket Altitude Simulation Lines: 37