Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 2.313km. Answer: 7904.99

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### Satellite Orbit Calculations

**Problem 1: Satellite Speed Calculation**

*Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 2.313 km above the Earth's surface.*

- **Given:** Height above Earth = 2.313 km
- **Answer:** 7904.99 m/s

---

**Problem 2: Satellite Release from Space Shuttle**

*The space shuttle releases a satellite into a circular orbit 672.621 km above the Earth. How fast must the shuttle be moving (relative to Earth) when the release occurs?*

- **Given:** Height above Earth = 672.621 km
- **Answer:** [To be calculated]

---

**Problem 3: Orbital Period Calculation**

*Determine the time it takes for a satellite to orbit the Earth in a circular "near-Earth" orbit. A "near-Earth" orbit is one at a height above the surface of the Earth which is very small compared to the radius of the Earth.*

- **Answer:** [To be calculated]

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### Explanation:
 
The first problem involves calculating the orbital speed necessary for a satellite to maintain a stable orbit at a given altitude above the Earth's surface. The given speed indicates how fast the satellite must travel to remain in a stable circular orbit at an altitude of 2.313 km.

The second problem requires you to determine the release velocity of a satellite from a space shuttle into a lower orbit, specifically at 672.621 km above Earth. This involves understanding the speed the shuttle must have to ensure the satellite maintains its intended orbit.

The third problem deals with calculating the orbital period (the time it takes for a satellite to complete one full orbit) for a satellite in a "near-Earth" orbit, which refers to a height that is negligible compared to Earth's radius.

For accurate results, these problems often utilize formulas derived from Newton’s law of universal gravitation and centripetal force equations.

---

Graphical Representations:

If diagrams or graphs illustrating satellite orbits or related formula derivations are present, they should clarify:

1. The relationship between orbital height and speed.
2. The path of a circular versus elliptical orbit.
3. The computation steps for deriving the required orbital velocity or period.

For detailed steps and diagrams, please refer to your study resources or accompanying course material.

---

This transcription should now provide an educational overview of satellite orbit calculations, suitable for an educational website.
Transcribed Image Text:--- ### Satellite Orbit Calculations **Problem 1: Satellite Speed Calculation** *Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 2.313 km above the Earth's surface.* - **Given:** Height above Earth = 2.313 km - **Answer:** 7904.99 m/s --- **Problem 2: Satellite Release from Space Shuttle** *The space shuttle releases a satellite into a circular orbit 672.621 km above the Earth. How fast must the shuttle be moving (relative to Earth) when the release occurs?* - **Given:** Height above Earth = 672.621 km - **Answer:** [To be calculated] --- **Problem 3: Orbital Period Calculation** *Determine the time it takes for a satellite to orbit the Earth in a circular "near-Earth" orbit. A "near-Earth" orbit is one at a height above the surface of the Earth which is very small compared to the radius of the Earth.* - **Answer:** [To be calculated] --- ### Explanation: The first problem involves calculating the orbital speed necessary for a satellite to maintain a stable orbit at a given altitude above the Earth's surface. The given speed indicates how fast the satellite must travel to remain in a stable circular orbit at an altitude of 2.313 km. The second problem requires you to determine the release velocity of a satellite from a space shuttle into a lower orbit, specifically at 672.621 km above Earth. This involves understanding the speed the shuttle must have to ensure the satellite maintains its intended orbit. The third problem deals with calculating the orbital period (the time it takes for a satellite to complete one full orbit) for a satellite in a "near-Earth" orbit, which refers to a height that is negligible compared to Earth's radius. For accurate results, these problems often utilize formulas derived from Newton’s law of universal gravitation and centripetal force equations. --- Graphical Representations: If diagrams or graphs illustrating satellite orbits or related formula derivations are present, they should clarify: 1. The relationship between orbital height and speed. 2. The path of a circular versus elliptical orbit. 3. The computation steps for deriving the required orbital velocity or period. For detailed steps and diagrams, please refer to your study resources or accompanying course material. --- This transcription should now provide an educational overview of satellite orbit calculations, suitable for an educational website.
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