Convert Pixel to Astronomical unit
Unit definitions
Pixel
A pixel is a unit of length based on the $96$ DPI standard, equal to $\frac{1}{96}$ of an inch (approximately $0.000\,264\,583$ meters).
Astronomical unit
An astronomical unit is the average distance from the center of the Earth to the center of the Sun.
How to convert Pixel to Astronomical unit
$$\text{Length}_{\text{ua}} = \text{Length}_{\text{px}} \cdot 1.768630342766859537482262662534898e - 15$$
Examples
Example 1
Convert $40.0\ \text{px}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 40.0 \cdot 1.768630342766859537482262662534898e - 15$$
$$\text{Length}_{\text{ua}} = 0.0000000000000707452137106743814992905065013959$$
$$\therefore \ 40.0\ \text{px} = 0.0000000000000707452137106743814992905065013959 \ \text{ua}$$
Example 2
Convert $85.0\ \text{px}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 85.0 \cdot 1.768630342766859537482262662534898e - 15$$
$$\text{Length}_{\text{ua}} = 0.0000000000001503335791351830606859923263154663$$
$$\therefore \ 85.0\ \text{px} = 0.0000000000001503335791351830606859923263154663 \ \text{ua}$$
Example 3
Convert $105.0\ \text{px}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 105.0 \cdot 1.768630342766859537482262662534898e - 15$$
$$\text{Length}_{\text{ua}} = 0.0000000000001857061859905202514356375795661642$$
$$\therefore \ 105.0\ \text{px} = 0.0000000000001857061859905202514356375795661642 \ \text{ua}$$
Example 4
Convert $135.0\ \text{px}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 135.0 \cdot 1.768630342766859537482262662534898e - 15$$
$$\text{Length}_{\text{ua}} = 0.0000000000002387650962735260375601054594422112$$
$$\therefore \ 135.0\ \text{px} = 0.0000000000002387650962735260375601054594422112 \ \text{ua}$$
Example 5
Convert $185.0\ \text{px}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 185.0 \cdot 1.768630342766859537482262662534898e - 15$$
$$\text{Length}_{\text{ua}} = 0.000000000000327196613411869014434218592568956$$
$$\therefore \ 185.0\ \text{px} = 0.000000000000327196613411869014434218592568956 \ \text{ua}$$
Pixel to Astronomical unit conversion table
| Pixel [px] | Astronomical unit [ua] |
|---|---|
| 1 | 1.768630342766859537482262662534898E-15 |
| 2 | 3.537260685533719074964525325069795E-15 |
| 3 | 5.305891028300578612446787987604693E-15 |
| 4 | 7.07452137106743814992905065013959E-15 |
| 5 | 8.843151713834297687411313312674488E-15 |
| 6 | 1.061178205660115722489357597520939E-14 |
| 7 | 1.238041239936801676237583863774428E-14 |
| 8 | 1.414904274213487629985810130027918E-14 |
| 9 | 1.591767308490173583734036396281408E-14 |
| 10 | 1.768630342766859537482262662534898E-14 |