Gradian to Milliarcsecond Converter

Result

3.24e+6
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Conversion Formula

mas=grad×360×3600000400\mathrm{\mathrm{mas}} = \mathrm{grad} \times \frac{360 \times 3600000}{400}

Unit Description

Gradian (grad)

Definition

A gradian (grad), also called a gon, is a unit of angular measurement where a full rotation is divided into 400 gradians. One gradian equals 1/400 of a complete circle, making a right angle equal to 100 gradians.

History

The gradian was introduced during the French Revolution as part of the metric system around 1795. It was designed to decimalize angle measurement, making calculations easier by using base-10 arithmetic. The system was promoted alongside other metric reforms but never achieved widespread adoption outside of surveying.

Current Use

Gradians are primarily used in surveying and some European engineering applications. They're particularly common in land surveying in France, Germany, and other parts of Europe. Some surveying instruments and software support gradian measurements, though degrees remain more common globally.

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

Gradian(grad)
Milliarcsecond(mas)
1
3.24e+6
2
6.48e+6
3
9.72e+6
4
1.296e+7
5
1.62e+7
6
1.944e+7
7
2.268e+7
8
2.592e+7
9
2.916e+7
10
3.24e+7
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Conversion Examples

Convert 1 Gradian to Milliarcsecond

  1. Conversion Formula: mas = grad × (360 × 3600000)/400
  2. Calculation: 1grad × (360 × 3600000)/400 = 3.24e+6mas

Convert 10 Gradian to Milliarcsecond

  1. Conversion Formula: mas = grad × (360 × 3600000)/400
  2. Calculation: 10grad × (360 × 3600000)/400 = 3.24e+7mas

Convert 100 Gradian to Milliarcsecond

  1. Conversion Formula: mas = grad × (360 × 3600000)/400
  2. Calculation: 100grad × (360 × 3600000)/400 = 3.24e+8mas

Convert 1,000 Gradian to Milliarcsecond

  1. Conversion Formula: mas = grad × (360 × 3600000)/400
  2. Calculation: 1,000grad × (360 × 3600000)/400 = 3.24e+9mas
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