To determine the angular size we use the small angle formula: d 2.06 x 105 D Solving for 0. 0 = 2.06 x 105 d What is the angular size of Jupiter from Ganymede? degrees
To determine the angular size we use the small angle formula: d 2.06 x 105 D Solving for 0. 0 = 2.06 x 105 d What is the angular size of Jupiter from Ganymede? degrees
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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![**Angular Size and Small Angle Calculation**
**Questions:**
1. What is the angular size of Jupiter (in degrees) from Ganymede?
2. How many full Moons viewed from Earth is this equivalent to (Θ_M = 0.5°)?
3. What is the angular size of Jupiter (in degrees) from Earth when they are closest? (Assume this distance is \(6.30 \times 10^8\) km.)
---
**Part 1 of 3**
To determine the angular size, we use the small angle formula:
\[
\frac{\Theta}{2.06 \times 10^5} = \frac{d}{D}
\]
Solving for Θ:
\[
\Theta = 2.06 \times 10^5 \frac{d}{D}
\]
**Questions:**
What is the angular size of Jupiter from Ganymede?
\(\Theta =\) _____ degrees
---
Fill in the blanks by solving \( \Theta \) for the specific scenarios provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda14446f-ef4d-47d5-9b14-b7a32b5fa1b1%2Fd809210f-b58a-4435-983a-daa120e7a034%2Ftibyrqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Angular Size and Small Angle Calculation**
**Questions:**
1. What is the angular size of Jupiter (in degrees) from Ganymede?
2. How many full Moons viewed from Earth is this equivalent to (Θ_M = 0.5°)?
3. What is the angular size of Jupiter (in degrees) from Earth when they are closest? (Assume this distance is \(6.30 \times 10^8\) km.)
---
**Part 1 of 3**
To determine the angular size, we use the small angle formula:
\[
\frac{\Theta}{2.06 \times 10^5} = \frac{d}{D}
\]
Solving for Θ:
\[
\Theta = 2.06 \times 10^5 \frac{d}{D}
\]
**Questions:**
What is the angular size of Jupiter from Ganymede?
\(\Theta =\) _____ degrees
---
Fill in the blanks by solving \( \Theta \) for the specific scenarios provided.
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