Arcsecond to Turn Converter
Convert arcsecond to turn instantly. 1 arcsecond = 1e-06 turn.
Arcsecond to Turn Table
| Arcsecond | Turn |
|---|---|
| 1 " | 1e-06 turn |
| 5 " | 4e-06 turn |
| 10 " | 8e-06 turn |
| 30 " | 2.3e-05 turn |
| 45 " | 3.5e-05 turn |
| 90 " | 6.9e-05 turn |
| 180 " | 0.000139 turn |
| 360 " | 0.000278 turn |
Related Conversions
Quick Answer
Formula: Turn = Arcsecond × 7.7160e-7
Multiply any arcsecond value by 7.7160e-7 to get turn.
Reverse: Arcsecond = Turn × 1.296e+06
Worked Examples
Arcsecond to Turn Conversion Table
Common arcsecond values — factor: 1 ″ = 7.7160e-7 turn
| Arcsecond (″) | Turn (turn) | Context |
|---|---|---|
| 1 ″ | 7.716e-07 turn | 1″ — star parallax |
| 5 ″ | 3.858e-06 turn | 5″ |
| 10 ″ | 7.716e-06 turn | 10″ |
| 30 ″ | 2.315e-05 turn | 0.5′ |
| 60 ″ | 4.630e-05 turn | 1′ |
| 300 ″ | 0.0002315 turn | 5′ |
| 600 ″ | 0.000463 turn | 10′ |
| 1800 ″ | 0.001389 turn | 30′ |
| 3600 ″ | 0.002778 turn | 1° |
| 1.08e+04 ″ | 0.008333 turn | 3° |
| 2.16e+04 ″ | 0.01667 turn | 6° |
| 4.32e+04 ″ | 0.03333 turn | 12° |
| 8.64e+04 ″ | 0.06667 turn | 24° |
| 3.24e+05 ″ | 0.25 turn | 90° right angle |
| 1.296e+06 ″ | 1 turn | 360° |
Mental Math Tricks
1 ″ = 7.7160e-7 turn. Memorize for instant estimates.
Right angle: 90° = 0.25 turn.
Multiply result by 1.296e+06 to recover the original ″ value.
Who Uses This Conversion?
Measures stellar parallax in arcseconds to determine distances to nearby stars.
Designs positioning systems where 1 arcsecond of latitude ≈ 30 meters on Earth.
Specifies pointing accuracy and tracking error in arcseconds for precision instruments.
Measures Earth's polar precession (50 arcsec/year) and tidal deformation.
Achieves sub-arcsecond resolution with VLBI radio telescope arrays.
Maintains spacecraft pointing accuracy measured in arcseconds.
Related Conversions
Frequently Asked Questions
About Arcsecond and Turn
Arcsecond (″)
The arcsecond (″) is 1/3600 of a degree or 1/60 of an arcminute. It is the standard unit for precise astronomical measurements, astrometry, and geodesy.
Stellar parallax — the apparent shift of nearby stars due to Earth's orbital motion — is measured in arcseconds. The parsec (parallax arcsecond) is defined as the distance at which 1 AU subtends 1 arcsecond. GPS systems achieve precision of a few centimeters, corresponding to fractions of an arcsecond.
Interesting fact: The closest star (Proxima Centauri) has a parallax of just 0.7687 arcseconds. The Hubble Space Telescope can resolve features as small as 0.05 arcseconds. Earth's polar precession moves at about 50 arcseconds per year.
Turn (turn)
A turn (also called revolution or cycle) represents one complete 360° rotation. It is the most intuitive angle unit — zero ambiguity about what constitutes 'one full rotation.'
Turns are used in mechanics (RPM = revolutions per minute), engineering (screw thread pitch expressed in turns per inch), and signal processing. The number τ (tau = 2π ≈ 6.2832) represents one turn in radians — some mathematicians advocate using τ instead of π for clarity.
Interesting fact: The tau movement in mathematics argues that using τ = 2π = one full turn would make formulas like Euler's identity and Fourier transforms more intuitive than using π = half-turn.
About Arcsecond to Turn Conversion
Converting arcsecond to turn is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 0.25 turn. A full circle (360°) = 1 turn. Reverse: 1 turn = 1.296e+06 ″. Exact factor: 1 ″ = 7.7160e-7 turn.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.