Milliarcsecond to Quadrant Converter
Conversion Formula
Unit Description
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.
Quadrant (quad)
Definition
A quadrant is a unit of angular measurement equal to 1/4 of a full rotation, or 90 degrees. It represents one of the four equal sections created when a circle is divided by perpendicular diameters.
History
The quadrant concept dates back to ancient geometry and astronomy, where circles were naturally divided into four equal parts. The term comes from the Latin 'quadrans' meaning 'fourth part'. Quadrants were fundamental in early navigation instruments and astronomical observations.
Current Use
Quadrants are used in coordinate geometry for describing the four sections of the Cartesian plane, in navigation for general directional references, and in some engineering applications. They're also used in describing rotational positions in mechanical systems and in some educational contexts for teaching angle concepts.
Conversion Table
Milliarcsecond(mas) | Quadrant(quad) |
---|---|
1 | 3.08642e-9 |
2 | 6.17284e-9 |
3 | 9.25926e-9 |
4 | 1.23457e-8 |
5 | 1.54321e-8 |
6 | 1.85185e-8 |
7 | 2.16049e-8 |
8 | 2.46914e-8 |
9 | 2.77778e-8 |
10 | 3.08642e-8 |
Conversion Examples
Convert 1 Milliarcsecond to Quadrant
- Conversion Formula: quad = mas ÷ (90 × 3600000)
- Calculation: 1mas ÷ (90 × 3600000) = 3.08642e-9quad
Convert 10 Milliarcsecond to Quadrant
- Conversion Formula: quad = mas ÷ (90 × 3600000)
- Calculation: 10mas ÷ (90 × 3600000) = 3.08642e-8quad
Convert 100 Milliarcsecond to Quadrant
- Conversion Formula: quad = mas ÷ (90 × 3600000)
- Calculation: 100mas ÷ (90 × 3600000) = 3.08642e-7quad
Convert 1,000 Milliarcsecond to Quadrant
- Conversion Formula: quad = mas ÷ (90 × 3600000)
- Calculation: 1,000mas ÷ (90 × 3600000) = 0.00000308642quad