Convert Parsec to Astronomical unit
Unit definitions
Parsec
A parsec is a unit of length used to measure astronomical distances. It is approximately $3.26$ light years.
Astronomical unit
An astronomical unit is the average distance from the center of the Earth to the center of the Sun.
How to convert Parsec to Astronomical unit
$$\text{Length}_{\text{ua}} = \text{Length}_{\text{pc}} \cdot 206264.8062470963365122281783921140$$
Examples
Example 1
Convert $45.0\ \text{pc}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 45.0 \cdot 206264.8062470963365122281783921140$$
$$\text{Length}_{\text{ua}} = 9281916.281119$$
$$\therefore \ 45.0\ \text{pc} = 9281916.281119 \ \text{ua}$$
Example 2
Convert $75.0\ \text{pc}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 75.0 \cdot 206264.8062470963365122281783921140$$
$$\text{Length}_{\text{ua}} = 15469860.468532$$
$$\therefore \ 75.0\ \text{pc} = 15469860.468532 \ \text{ua}$$
Example 3
Convert $105.0\ \text{pc}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 105.0 \cdot 206264.8062470963365122281783921140$$
$$\text{Length}_{\text{ua}} = 21657804.655945$$
$$\therefore \ 105.0\ \text{pc} = 21657804.655945 \ \text{ua}$$
Example 4
Convert $150.0\ \text{pc}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 150.0 \cdot 206264.8062470963365122281783921140$$
$$\text{Length}_{\text{ua}} = 30939720.937064$$
$$\therefore \ 150.0\ \text{pc} = 30939720.937064 \ \text{ua}$$
Example 5
Convert $175.0\ \text{pc}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 175.0 \cdot 206264.8062470963365122281783921140$$
$$\text{Length}_{\text{ua}} = 36096341.093242$$
$$\therefore \ 175.0\ \text{pc} = 36096341.093242 \ \text{ua}$$
Parsec to Astronomical unit conversion table
| Parsec [pc] | Astronomical unit [ua] |
|---|---|
| 1 | 206264.806247 |
| 2 | 412529.612494 |
| 3 | 618794.418741 |
| 4 | 825059.224988 |
| 5 | 1031324.031235 |
| 6 | 1237588.837483 |
| 7 | 1443853.64373 |
| 8 | 1650118.449977 |
| 9 | 1856383.256224 |
| 10 | 2062648.062471 |