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![**Astronomical Calculations: Determining the Parallax Angle**
**Problem Statement:**
The Orion Nebula is located at a distance of 450 parsecs (pc). Calculate the parallax angle.
To calculate the parallax angle, we use the parallax formula:
\[ p = \frac{1}{d} \]
where:
- \( p \) is the parallax angle in arcseconds.
- \( d \) is the distance in parsecs (pc).
Given:
- Distance to the Orion Nebula (\( d \)) = 450 pc
**Calculation:**
\[ p = \frac{1}{450} \]
\[ p = 0.00222 \text{ arcseconds} \]
Therefore, the parallax angle for the Orion Nebula is 0.00222 arcseconds.](https://content.bartleby.com/qna-images/question/adbb6fa3-6b43-4484-8eb2-c92bfed12f92/2013a9df-1d4a-48f0-bdb8-b40e64894e5e/hh2dyoi_processed.png)
Transcribed Image Text:**Astronomical Calculations: Determining the Parallax Angle**
**Problem Statement:**
The Orion Nebula is located at a distance of 450 parsecs (pc). Calculate the parallax angle.
To calculate the parallax angle, we use the parallax formula:
\[ p = \frac{1}{d} \]
where:
- \( p \) is the parallax angle in arcseconds.
- \( d \) is the distance in parsecs (pc).
Given:
- Distance to the Orion Nebula (\( d \)) = 450 pc
**Calculation:**
\[ p = \frac{1}{450} \]
\[ p = 0.00222 \text{ arcseconds} \]
Therefore, the parallax angle for the Orion Nebula is 0.00222 arcseconds.
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