Turn to Milliarcsecond Converter
Conversion Formula
Unit Description
Turn (turn)
Definition
A turn is a unit of angular measurement representing one complete rotation or revolution, equal to 360 degrees or 2π radians. It represents the most fundamental concept of rotational measurement.
History
The concept of a complete turn or revolution has been understood since ancient times, but its formal use as a unit of measurement became more common in modern mathematics and engineering. It provides an intuitive way to express rotational quantities without conversion factors.
Current Use
Turns are used in mechanical engineering for describing rotational speed (revolutions per minute), in computer graphics for rotation transformations, and in some mathematical contexts where full rotations are more natural than degrees or radians. They're also used in describing gear ratios and motor specifications.
Milliarcsecond (mas)
Definition
A milliarcsecond (mas) is a unit of angular measurement equal to 1/1000 of an arcsecond or 1/3,600,000 of a degree. It represents the finest level of angular precision commonly used in astronomy.
History
Milliarcseconds became necessary with the advent of very long baseline interferometry (VLBI) and space-based telescopes in the late 20th century. This precision level was unattainable until advanced radio astronomy techniques and space missions like Hipparcos and Gaia made such measurements possible.
Current Use
Milliarcseconds are used in cutting-edge astronomical research for measuring stellar parallax, proper motion of stars, positions of quasars, and in very long baseline interferometry. They're essential for the most precise astrometric measurements and are used by space missions like Gaia for creating detailed star catalogs.
Conversion Table
Turn(turn) | Milliarcsecond(mas) |
---|---|
1 | 1.296e+9 |
2 | 2.592e+9 |
3 | 3.888e+9 |
4 | 5.184e+9 |
5 | 6.48e+9 |
6 | 7.776e+9 |
7 | 9.072e+9 |
8 | 1.0368e+10 |
9 | 1.1664e+10 |
10 | 1.296e+10 |
Conversion Examples
Convert 1 Turn to Milliarcsecond
- Conversion Formula: mas = turn × (360 × 3600000)
- Calculation: 1turn × (360 × 3600000) = 1.296e+9mas
Convert 10 Turn to Milliarcsecond
- Conversion Formula: mas = turn × (360 × 3600000)
- Calculation: 10turn × (360 × 3600000) = 1.296e+10mas
Convert 100 Turn to Milliarcsecond
- Conversion Formula: mas = turn × (360 × 3600000)
- Calculation: 100turn × (360 × 3600000) = 1.296e+11mas
Convert 1,000 Turn to Milliarcsecond
- Conversion Formula: mas = turn × (360 × 3600000)
- Calculation: 1,000turn × (360 × 3600000) = 1.296e+12mas