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![**Understanding the Angular Diameter of Saturn**
When studying the angular diameter of Saturn as observed from Earth, it is important to use the small-angle formula. This formula relates the linear diameter of an object to its angular diameter and distance from the observer.
### Angular Diameter Calculation
**Formula:**
\[ \text{angular diameter (in arc seconds)} = \left( \frac{\text{linear diameter}}{\text{distance}} \right) \times 2.06 \times 10^5 \]
### Questions:
1. **Closest Approach:**
- Calculate the angular diameter of Saturn (in arc seconds) when Earth and Saturn are closest together.
- Enter the value in the provided box.
\[ \_\_\_\_\_ \text{ arc seconds} \]
2. **Farthest Distance:**
- Calculate the angular diameter of Saturn (in arc seconds) when Earth and Saturn are farthest apart.
- Enter the value in the provided box.
\[ \_\_\_\_\_ \text{ arc seconds} \]
Use these calculations to understand how the apparent size of Saturn changes based on its distance from Earth.](https://content.bartleby.com/qna-images/question/d0530e16-0f9d-4caf-90d6-684cf5a3ef1c/c2787a26-ba1a-4c60-b105-422e63a8938c/yhhxjrf_processed.png)
Transcribed Image Text:**Understanding the Angular Diameter of Saturn**
When studying the angular diameter of Saturn as observed from Earth, it is important to use the small-angle formula. This formula relates the linear diameter of an object to its angular diameter and distance from the observer.
### Angular Diameter Calculation
**Formula:**
\[ \text{angular diameter (in arc seconds)} = \left( \frac{\text{linear diameter}}{\text{distance}} \right) \times 2.06 \times 10^5 \]
### Questions:
1. **Closest Approach:**
- Calculate the angular diameter of Saturn (in arc seconds) when Earth and Saturn are closest together.
- Enter the value in the provided box.
\[ \_\_\_\_\_ \text{ arc seconds} \]
2. **Farthest Distance:**
- Calculate the angular diameter of Saturn (in arc seconds) when Earth and Saturn are farthest apart.
- Enter the value in the provided box.
\[ \_\_\_\_\_ \text{ arc seconds} \]
Use these calculations to understand how the apparent size of Saturn changes based on its distance from Earth.
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