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Measurement Methods

Astronomers use a variety of methods to quantify the natural phenomena that they measure. Because the physical factors that are measured in astronomy are sometimes quite large or small, astronomers use scientific notation, or exponential numbers, to express these measurements. A number written in scientific notation is a number between 1 and 10 and multiplied by a power of 10 (see Table 1 ).

TABLE 1 Scientific Notation and Powers of Ten

Number Name

Number

Scientific (Exponential) Form

trillion

1,000,000,000,000

1012

billion

1,000,000,000

109

million

1,000,000

106

thousand

1,000

103

hundred

100

102

ten

10

101

one

1

100

one-tenth

1/10

10−1

one-hundreth

1/100

10−2

one-thousandth

1/1000

10−3

one-millionth

1/1,000,000

10−6

one-billionth

1/1,000,000,000

10−9

Astronomers measure factors such as size or distance using the metric system, a decimal system of weights and measures in which the kilogram (2.04 pounds), the meter (39.37 inches), and the liter (61.025 cubic inches) are the basic units of mass, length, and capacity, respectively. Names for the most common other units are formed by the addition of the following prefixes to these terms: kilo- (thousand), mega- (million), giga- (billion), centi- (1/100), milli- (1/1000), and micro (1/1,000,000). So, for example, a kilometer is a thousand meters, while a millimeter is one-thousandth of a meter. Some astronomical measurements using the metric system are shown in Table 2 .

TABLE 2 Distances

Units

Examples

1 centimeter (cm) = 10 mil-limeters (mm) = 0.394 inches

Thickness of pencil: 7 mm

Diameter of golf ball: 4 cm

1 meter (m) = 100 cm =

Basketball player: 2 m

1,000 mm = 39.4 inches =

Football field: 90 m

1.09 yards

1 kilometer (km) = 1,000 m =

United States: 4,900 km across

1.609 miles

Distance to Moon: 384,000 km

1 Astronomical Unit (AU) =

Earth to Sun: 1 AU

1.50 × 108 km = 9.30 × 107 miles

Sun to Pluto: 39 AU

1 light-year (ly) = 63,270 AU =

Nearest star: 4 ly

9.5 × 1012 km

Diameter of Galaxy: 80,000 ly

1 parsec (pc) = 3.26 ly =

Nearest star: 1.3

206,265 AU = 3.09 × 1013 km =

Nearest large galaxy:

3.09 × 1018 cm

690,000 pc

Astronomers also utilize angles in measuring celestial objects, especially in quantifying their position and movement in the sky. An angle is formed by two lines that have the same endpoint. An angle is measured in degrees, from 0 to 180. The number of degrees indicates the size of the angle. A right angle has a measure of 90 degrees, while a complete circle would measure 360 degrees (see Figure 1 ). Angular measure is often given in terms of arc, which can be measured in minutes (60 minutes to a degree) or seconds (60 seconds to a minute).





Figure 1

Measuring angles. Notice that the Moon's angular diameter can be measured as 1/2 degree or 30 minutes of arc.


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