Arcseconds to Octants (″ → oct)
Formula
1 ″ = 0.000006172839506172839 octConversion Table
| ″ | oct |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0000061728 |
| 2.0000 | 0.000012346 |
| 3.0000 | 0.000018519 |
| 4.0000 | 0.000024691 |
| 5.0000 | 0.000030864 |
| 6.0000 | 0.000037037 |
| 7.0000 | 0.000043210 |
| 8.0000 | 0.000049383 |
| 9.0000 | 0.000055556 |
| 10.000 | 0.000061728 |
| 11.000 | 0.000067901 |
| 12.000 | 0.000074074 |
| 13.000 | 0.000080247 |
| 14.000 | 0.000086420 |
| 15.000 | 0.000092593 |
| 16.000 | 0.000098765 |
| 17.000 | 0.00010494 |
| 18.000 | 0.00011111 |
| 19.000 | 0.00011728 |
| ″ | oct |
|---|---|
| 20.000 | 0.00012346 |
| 21.000 | 0.00012963 |
| 22.000 | 0.00013580 |
| 23.000 | 0.00014198 |
| 24.000 | 0.00014815 |
| 25.000 | 0.00015432 |
| 26.000 | 0.00016049 |
| 27.000 | 0.00016667 |
| 28.000 | 0.00017284 |
| 29.000 | 0.00017901 |
| 30.000 | 0.00018519 |
| 31.000 | 0.00019136 |
| 32.000 | 0.00019753 |
| 33.000 | 0.00020370 |
| 34.000 | 0.00020988 |
| 35.000 | 0.00021605 |
| 36.000 | 0.00022222 |
| 37.000 | 0.00022840 |
| 38.000 | 0.00023457 |
| 39.000 | 0.00024074 |
| ″ | oct |
|---|---|
| 40.000 | 0.00024691 |
| 41.000 | 0.00025309 |
| 42.000 | 0.00025926 |
| 43.000 | 0.00026543 |
| 44.000 | 0.00027160 |
| 45.000 | 0.00027778 |
| 46.000 | 0.00028395 |
| 47.000 | 0.00029012 |
| 48.000 | 0.00029630 |
| 49.000 | 0.00030247 |
| 50.000 | 0.00030864 |
| 51.000 | 0.00031481 |
| 52.000 | 0.00032099 |
| 53.000 | 0.00032716 |
| 54.000 | 0.00033333 |
| 55.000 | 0.00033951 |
| 56.000 | 0.00034568 |
| 57.000 | 0.00035185 |
| 58.000 | 0.00035802 |
| 59.000 | 0.00036420 |
| ″ | oct |
|---|---|
| 60.000 | 0.00037037 |
| 61.000 | 0.00037654 |
| 62.000 | 0.00038272 |
| 63.000 | 0.00038889 |
| 64.000 | 0.00039506 |
| 65.000 | 0.00040123 |
| 66.000 | 0.00040741 |
| 67.000 | 0.00041358 |
| 68.000 | 0.00041975 |
| 69.000 | 0.00042593 |
| 70.000 | 0.00043210 |
| 71.000 | 0.00043827 |
| 72.000 | 0.00044444 |
| 73.000 | 0.00045062 |
| 74.000 | 0.00045679 |
| 75.000 | 0.00046296 |
| 76.000 | 0.00046914 |
| 77.000 | 0.00047531 |
| 78.000 | 0.00048148 |
| 79.000 | 0.00048765 |
Arcseconds to Octants Conversion
Converting Arcseconds (″) to Octants (oct) is a common angle conversion. 1 ″ equals 0.000006 oct. For example, 100 ″ is equal to 0.000617 oct.
Quick Mental Math: Arcseconds to Octants
162000 arcseconds is 1 octant, so scale from that anchor.
Why is converting Arcseconds to Octants tricky?
arcseconds and octants split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ″ = 0.000006 oct. 5 ″ = 0.000031 oct. 10 ″ = 0.000062 oct. 25 ″ = 0.000154 oct. 50 ″ = 0.000309 oct. 100 ″ = 0.000617 oct.
What is Arcseconds?
Arcseconds (″) is a unit of angle. An arcsecond is 1/60 of an arcminute or 1/3600 of one degree. This unit represents 1/1,296,000 of a full circle and is used for very precise angular measurements in astronomy and optics [iso-80000]. One arcsecond equals exactly 1/60 of an arcminute. Divisions of degrees into arcseconds originated from the sexagesimal system used by ancient astronomers and were standardized by international bodies for use in precise angular measurements [iso-80000]. Arcseconds are critical in astronomical observations for locating stars and planets with precision. Surveying and satellite navigation systems also rely on arcseconds globally [nist-si-guide].
What is Octants?
Octants (oct) is a unit of angle. An octant is a unit of angular measurement equal to 45 degrees or one-eighth of a full circle (360 degrees). It is used in historical and navigational contexts to describe angular divisions. One octant corresponds to π/4 radians according to angular standards [iso-80000]. The octant dates to early navigation instruments developed in the 18th century, notably the reflecting octant invented by John Hadley in 1731. It was adopted to improve celestial navigation accuracy before the sextant became widespread [iso-80000]. While largely replaced by degrees and radians, octants remain referenced in historical navigation and maritime heritage. Some naval training and museums preserve knowledge of octants as part of seafaring traditions [nist-sp-811].
Common Misspellings
People often search for this conversion using these alternate spellings: arc second, arc sec, arcsec, arseconds, octent, octent angle, octons, octancts. All of these refer to the Arcseconds to Octants conversion.