*24 Compute the orbital radius of an earth satellite that has an equatorial orbit and always remains above a fixed point P on the earth's surface. Communication satel- lites have such "geosynchronous" orbits (Fig. 6-19). These satellites are used to relay radio and television signals around the world. Communication satellite Fig. 6-19 www

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#### Problem 24
**Compute the orbital radius of an Earth satellite that has an equatorial orbit and always remains above a fixed point P on the Earth’s surface. Communication satellites have such “geosynchronous” orbits (Fig. 6-19). These satellites are used to relay radio and television signals around the world.**

**Explanation of Figure 6-19:**

- The diagram represents the Earth with a communication satellite in orbit around it.
- The Earth is depicted with equatorial and rotational arrows indicating the direction of its spin.
- The satellite orbits along the equator and remains directly above a fixed point P on the Earth’s surface.
- The orbital path of the satellite is traced as a circle around the Earth at a distance denoted by the radius \( r \).
- The satellite's position allows it to relay signals, illustrated by wavy lines, back and forth to point P.
- The key feature of this geosynchronous orbit is that the satellite stays above the same geographical location on Earth at all times, which is crucial for continuous communication signals.

#### Problem 25
**The Earth orbits the Sun in an approximately circular orbit of radius \( 1.496 \times 10^{11} \) m (about 93 million miles).**

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This problem (24) asks you to compute the orbital radius of a geosynchronous satellite. These satellites are crucial for ensuring consistent communication signals as they maintain a fixed position relative to the Earth's surface. The accompanying figure (6-19) illustrates the concept of such an orbit.
Transcribed Image Text:### Problems #### Problem 24 **Compute the orbital radius of an Earth satellite that has an equatorial orbit and always remains above a fixed point P on the Earth’s surface. Communication satellites have such “geosynchronous” orbits (Fig. 6-19). These satellites are used to relay radio and television signals around the world.** **Explanation of Figure 6-19:** - The diagram represents the Earth with a communication satellite in orbit around it. - The Earth is depicted with equatorial and rotational arrows indicating the direction of its spin. - The satellite orbits along the equator and remains directly above a fixed point P on the Earth’s surface. - The orbital path of the satellite is traced as a circle around the Earth at a distance denoted by the radius \( r \). - The satellite's position allows it to relay signals, illustrated by wavy lines, back and forth to point P. - The key feature of this geosynchronous orbit is that the satellite stays above the same geographical location on Earth at all times, which is crucial for continuous communication signals. #### Problem 25 **The Earth orbits the Sun in an approximately circular orbit of radius \( 1.496 \times 10^{11} \) m (about 93 million miles).** --- This problem (24) asks you to compute the orbital radius of a geosynchronous satellite. These satellites are crucial for ensuring consistent communication signals as they maintain a fixed position relative to the Earth's surface. The accompanying figure (6-19) illustrates the concept of such an orbit.
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