Convert Kilometer to Astronomical unit
Unit definitions
Kilometer
A kilometer is $1\,000$ meters in length.
Astronomical unit
An astronomical unit is the average distance from the center of the Earth to the center of the Sun.
How to convert Kilometer to Astronomical unit
$$\text{Length}_{\text{ua}} = \text{Length}_{\text{km}} \cdot 6.684587122268445495995953370210636e - 9$$
Examples
Example 1
Convert $20.0\ \text{km}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 20.0 \cdot 6.684587122268445495995953370210636e - 9$$
$$\text{Length}_{\text{ua}} = 0.0000001336917424453689099199190674042127$$
$$\therefore \ 20.0\ \text{km} = 0.0000001336917424453689099199190674042127 \ \text{ua}$$
Example 2
Convert $70.0\ \text{km}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 70.0 \cdot 6.684587122268445495995953370210636e - 9$$
$$\text{Length}_{\text{ua}} = 0.0000004679210985587911847197167359147445$$
$$\therefore \ 70.0\ \text{km} = 0.0000004679210985587911847197167359147445 \ \text{ua}$$
Example 3
Convert $105.0\ \text{km}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 105.0 \cdot 6.684587122268445495995953370210636e - 9$$
$$\text{Length}_{\text{ua}} = 0.000001$$
$$\therefore \ 105.0\ \text{km} = 0.000001 \ \text{ua}$$
Example 4
Convert $140.0\ \text{km}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 140.0 \cdot 6.684587122268445495995953370210636e - 9$$
$$\text{Length}_{\text{ua}} = 0.000001$$
$$\therefore \ 140.0\ \text{km} = 0.000001 \ \text{ua}$$
Example 5
Convert $200.0\ \text{km}$ to $\text{ua}$.
$$\text{Length}_{\text{ua}} = 200.0 \cdot 6.684587122268445495995953370210636e - 9$$
$$\text{Length}_{\text{ua}} = 0.000001$$
$$\therefore \ 200.0\ \text{km} = 0.000001 \ \text{ua}$$
Kilometer to Astronomical unit conversion table
| Kilometer [km] | Astronomical unit [ua] |
|---|---|
| 1 | 6.684587122268445495995953370210636E-9 |
| 2 | 1.336917424453689099199190674042127E-8 |
| 3 | 2.005376136680533648798786011063191E-8 |
| 4 | 2.673834848907378198398381348084255E-8 |
| 5 | 3.342293561134222747997976685105318E-8 |
| 6 | 4.010752273361067297597572022126382E-8 |
| 7 | 4.679210985587911847197167359147445E-8 |
| 8 | 5.347669697814756396796762696168509E-8 |
| 9 | 6.016128410041600946396358033189573E-8 |
| 10 | 6.684587122268445495995953370210636E-8 |