Degree to Milliarcsecond Converter

Result

3.6e+6
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Conversion Formula

Factor

1 =3.6e+6 mas1\ \mathrm{^{\circ}} = 3.6e+6\ \mathrm{\mathrm{mas}}

Formula

mas=×3.6e+6\mathrm{\mathrm{mas}} = \mathrm{^{\circ}} \times 3.6e+6

Unit Description

Degree (°)

Definition

A degree (°) is a unit of angular measurement equal to 1/360 of a full rotation. It divides a complete circle into 360 equal parts, making it one of the most widely used angle measurements.

History

The degree system originated with ancient Babylonian astronomers around 2000 BCE, who used a base-60 number system and divided the circle into 360 degrees. This choice was influenced by their calendar of approximately 360 days and the convenience of 360 being divisible by many numbers. The system was later adopted by Greek astronomers and has remained standard ever since.

Current Use

Degrees are universally used in navigation, surveying, engineering, architecture, and everyday applications. They're standard for compass bearings, geographic coordinates (latitude/longitude), construction angles, and in most educational contexts. Weather reports, GPS systems, and most angle-measuring tools use degrees.

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

Degree(°)
Milliarcsecond(mas)
1
3.6e+6
2
7.2e+6
3
1.08e+7
4
1.44e+7
5
1.8e+7
6
2.16e+7
7
2.52e+7
8
2.88e+7
9
3.24e+7
10
3.6e+7
Page 1

Conversion Examples

Convert 1 Degree to Milliarcsecond

  1. Conversion Factor: 1 ° = 3.6e+6 mas
  2. Conversion Formula: mas = ° × 3.6e+6
  3. Calculation: 1 ° × 3.6e+6 = 3.6e+6 mas

Convert 10 Degree to Milliarcsecond

  1. Conversion Factor: 1 ° = 3.6e+6 mas
  2. Conversion Formula: mas = ° × 3.6e+6
  3. Calculation: 10 ° × 3.6e+6 = 3.6e+7 mas

Convert 100 Degree to Milliarcsecond

  1. Conversion Factor: 1 ° = 3.6e+6 mas
  2. Conversion Formula: mas = ° × 3.6e+6
  3. Calculation: 100 ° × 3.6e+6 = 3.6e+8 mas

Convert 1,000 Degree to Milliarcsecond

  1. Conversion Factor: 1 ° = 3.6e+6 mas
  2. Conversion Formula: mas = ° × 3.6e+6
  3. Calculation: 1,000 ° × 3.6e+6 = 3.6e+9 mas
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