Convert Astronomical unit to Light year
Unit definitions
Astronomical unit
An astronomical unit is the average distance from the center of the Earth to the center of the Sun.
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.
How to convert Astronomical unit to Light year
$$\text{Length}_{\text{ly}} = \text{Length}_{\text{ua}} \cdot 0.00001581250740982065847572284179086802$$
Examples
Example 1
Convert $40.0\ \text{ua}$ to $\text{ly}$.
$$\text{Length}_{\text{ly}} = 40.0 \cdot 0.00001581250740982065847572284179086802$$
$$\text{Length}_{\text{ly}} = 0.000633$$
$$\therefore \ 40.0\ \text{ua} = 0.000633 \ \text{ly}$$
Example 2
Convert $75.0\ \text{ua}$ to $\text{ly}$.
$$\text{Length}_{\text{ly}} = 75.0 \cdot 0.00001581250740982065847572284179086802$$
$$\text{Length}_{\text{ly}} = 0.001186$$
$$\therefore \ 75.0\ \text{ua} = 0.001186 \ \text{ly}$$
Example 3
Convert $115.0\ \text{ua}$ to $\text{ly}$.
$$\text{Length}_{\text{ly}} = 115.0 \cdot 0.00001581250740982065847572284179086802$$
$$\text{Length}_{\text{ly}} = 0.001818$$
$$\therefore \ 115.0\ \text{ua} = 0.001818 \ \text{ly}$$
Example 4
Convert $135.0\ \text{ua}$ to $\text{ly}$.
$$\text{Length}_{\text{ly}} = 135.0 \cdot 0.00001581250740982065847572284179086802$$
$$\text{Length}_{\text{ly}} = 0.002135$$
$$\therefore \ 135.0\ \text{ua} = 0.002135 \ \text{ly}$$
Example 5
Convert $160.0\ \text{ua}$ to $\text{ly}$.
$$\text{Length}_{\text{ly}} = 160.0 \cdot 0.00001581250740982065847572284179086802$$
$$\text{Length}_{\text{ly}} = 0.00253$$
$$\therefore \ 160.0\ \text{ua} = 0.00253 \ \text{ly}$$