Convert Light year to Parsec
Unit definitions
Light year
A light year is equal to the distance light travels in a Julian year ($365.25$ days). It is exactly $9\,460\,730\,472\,580\,800$ meters.
Parsec
A parsec is a unit of length used to measure astronomical distances. It is approximately $3.26$ light years.
How to convert Light year to Parsec
$$\text{Length}_{\text{pc}} = \text{Length}_{\text{ly}} \cdot 0.3066013937855505950671050880457046$$
Examples
Example 1
Convert $50.0\ \text{ly}$ to $\text{pc}$.
$$\text{Length}_{\text{pc}} = 50.0 \cdot 0.3066013937855505950671050880457046$$
$$\text{Length}_{\text{pc}} = 15.33007$$
$$\therefore \ 50.0\ \text{ly} = 15.33007 \ \text{pc}$$
Example 2
Convert $75.0\ \text{ly}$ to $\text{pc}$.
$$\text{Length}_{\text{pc}} = 75.0 \cdot 0.3066013937855505950671050880457046$$
$$\text{Length}_{\text{pc}} = 22.995105$$
$$\therefore \ 75.0\ \text{ly} = 22.995105 \ \text{pc}$$
Example 3
Convert $105.0\ \text{ly}$ to $\text{pc}$.
$$\text{Length}_{\text{pc}} = 105.0 \cdot 0.3066013937855505950671050880457046$$
$$\text{Length}_{\text{pc}} = 32.193146$$
$$\therefore \ 105.0\ \text{ly} = 32.193146 \ \text{pc}$$
Example 4
Convert $150.0\ \text{ly}$ to $\text{pc}$.
$$\text{Length}_{\text{pc}} = 150.0 \cdot 0.3066013937855505950671050880457046$$
$$\text{Length}_{\text{pc}} = 45.990209$$
$$\therefore \ 150.0\ \text{ly} = 45.990209 \ \text{pc}$$
Example 5
Convert $175.0\ \text{ly}$ to $\text{pc}$.
$$\text{Length}_{\text{pc}} = 175.0 \cdot 0.3066013937855505950671050880457046$$
$$\text{Length}_{\text{pc}} = 53.655244$$
$$\therefore \ 175.0\ \text{ly} = 53.655244 \ \text{pc}$$