A satellite is in a circular orbit around the Earth at an altitude of 2.63 × x 10° m (a) Find the period of the orbit. (b) Find the speed of the satellite. (c) Find the acceleration of the satellite.

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Chapter1: Units, Trigonometry. And Vectors
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**Topic: Calculating Satellite Orbit Parameters**

A satellite is in a circular orbit around the Earth at an altitude of \(2.63 \times 10^6\) meters.

(a) **Problem Statement:**
   - Find the period of the orbit.

(b) **Problem Statement:**
   - Find the speed of the satellite.

(c) **Problem Statement:**
   - Find the acceleration of the satellite.

---

**Step 1: Calculating the Radius of Orbit**

(a) For a satellite with an altitude of \( h = 2.63 \times 10^6 \) meters above Earth's surface, the radius of its orbit, \( r \), can be calculated. The formula is given by:

\[ r = R_E + h \]

Where \( R_E \) is the Earth's radius.

The equation becomes:

\[ r = \left( 6.38 \times 10^6 \, \text{m} \right) + \left( 2.63 \times 10^6 \, \text{m} \right) = \underline{\hspace{3cm}} \times 10^6 \, \text{m} \]

**Explanation for Missing Values:**
Insert the computed total for the radius here to complete the equation and calculate further parameters such as orbital period, speed, and acceleration.
Transcribed Image Text:**Topic: Calculating Satellite Orbit Parameters** A satellite is in a circular orbit around the Earth at an altitude of \(2.63 \times 10^6\) meters. (a) **Problem Statement:** - Find the period of the orbit. (b) **Problem Statement:** - Find the speed of the satellite. (c) **Problem Statement:** - Find the acceleration of the satellite. --- **Step 1: Calculating the Radius of Orbit** (a) For a satellite with an altitude of \( h = 2.63 \times 10^6 \) meters above Earth's surface, the radius of its orbit, \( r \), can be calculated. The formula is given by: \[ r = R_E + h \] Where \( R_E \) is the Earth's radius. The equation becomes: \[ r = \left( 6.38 \times 10^6 \, \text{m} \right) + \left( 2.63 \times 10^6 \, \text{m} \right) = \underline{\hspace{3cm}} \times 10^6 \, \text{m} \] **Explanation for Missing Values:** Insert the computed total for the radius here to complete the equation and calculate further parameters such as orbital period, speed, and acceleration.
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