Name AP Physics 1, Period Name AP Physics 1, Period Mr. Salge Date Orbital mecha
ID: 3280941 • Letter: N
Question
Name AP Physics 1, Period Name AP Physics 1, Period Mr. Salge Date Orbital mechanics and Kepler Through data analysis Below is information about several satellites orbiting Earth. taken from JPL (NASA's Jet Propulsion Laboratory) concerning information Satellite Orbital VelocityAltitude Orbital km) Period (min) (international Space Station) 357931435.8 Astra 2A (Belgain Communications) ACRIMSAT (Active Cavity Radiometer radiance Monitor Satellite NASA) .075 .512 676.6 20193 66522 3.904 6.325 2.45 718.2 157.7 Navstar 46 (GPS Satellite) Telstar 1 (Comms. And Space Physics) Infrared Space Observatory The Moon Your end goal is to show the relationship between V 1396812 9343.68 ! orbt and r is what we derived in class and then to linearize that relationship Be sure to show all work toward linearizing on this paper. Explain or show the original variables plotted, note any changes to those variables before graphing (ie units, adding or subtracting from them, etc.), and changes made to linearize that data with prose below. Use this GRAPH and ITS FEATURES to find the mass of the Earth. Show all work.Explanation / Answer
Remember that the orbital velocity is given by v= sqrt(GM/R). Therefore, linearization requires that you plot v^2 and 1/R.
R is given by the sum of the altitude and the radius of earth.
Before plotting convert variables to Si units.
Now, theplot will be linear. Divide slope by G to get Mass of earth.
From theory, T^2= 4 pi^2 R^3/(GM) for circular orbits
So, plot T^2 versus R^3. Your plot will be linear.
As before R will be altitude plus radius of earth and all units to be converted to Standard units. So, convert period to sec from minute before plotting.
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