A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are useful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for the moon in Table. Table 6.2 Orbital Data and Kepler's Third LawPeriod T(y)PIP (km³ / y³ParentSatelliteAverage orbital radius r(km)Earth3.84x1051.01×1019Moon0.07481Mercury5.79x1073.34×1024Sun0.24091.082×1083.35×1024Venus0.6150Earth1.496×1083.35×10241.0002.279x1083.35×1024Mars1.881Jupiter7.783×10811.863.35×1024Saturn1.427×10°29.463.35×1024Neptune4.497×10°|164.83.35×10245.90x10°3.33×1024Pluto248.3Jupiterlo4.22x1050.00485 (1.77 d)| 3.19×10²'Europa6.71×1050.00972 (3.55 d)| 3.20×10²!Ganymede 1.07×1060.0196 (7.16 d) 3.19×10²'|Callisto| 1.88×1060.0457 (16.19 d)| 3.20×10²!

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Answered: Table 6.2 Orbital Data and Kepler's…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are useful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for the moon in Table.

Table 6.2 Orbital Data and Kepler's Third Law
Period T(y)
PIP (km³ / y³
Parent
Satellite
Average orbital radius r(km)
Earth
3.84x105
1.01×1019
Moon
0.07481
Mercury
5.79x107
3.34×1024
Sun
0.2409
1.082×108
3.35×1024
Venus
0.6150
Earth
1.496×108
3.35×1024
1.000
2.279x108
3.35×1024
Mars
1.881
Jupiter
7.783×108
11.86
3.35×1024
Saturn
1.427×10°
29.46
3.35×1024
Neptune
4.497×10°
|164.8
3.35×1024
5.90x10°
3.33×1024
Pluto
248.3
Jupiter
lo
4.22x105
0.00485 (1.77 d)| 3.19×10²'
Europa
6.71×105
0.00972 (3.55 d)| 3.20×10²!
Ganymede 1.07×106
0.0196 (7.16 d) 3.19×10²'
|Callisto
| 1.88×106
0.0457 (16.19 d)| 3.20×10²!

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