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Astronomy Principles and Practice Fourth Edition.pdf

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456 Appendix: Astronomical <strong>and</strong> related constants<br />

Derived SI units for special quantities<br />

Physical quantity Name of unit Symbol Dimensions<br />

energy joule J kg m 2 s −2<br />

power watt W kg m 2 s −3<br />

force newton N kg m s −2<br />

electric charge coulomb C A s<br />

magnetic flux density tesla T kg s −2 A −1<br />

frequency hertz Hz s −1<br />

Conversion of cgs units to SI units<br />

1ångström = 10 −10 m<br />

1 dyne = 10 −5 N<br />

1erg = 10 −7 J<br />

1 millibar = 10 2 Nm −2<br />

1gauss = 10 4 T<br />

1ergs −1 = 10 −7 W<br />

SI prefixes<br />

Factor Prefix Symbol Factor Prefix Symbol<br />

10 −3 milli m 10 3 kilo k<br />

10 −6 micro µ 10 6 mega M<br />

10 −9 nano n 10 9 giga G<br />

10 −12 pico p 10 12 tera T<br />

10 −15 femto f 10 15 peta P<br />

10 −18 atto a 10 18 exa E<br />

A.4 Basic formulas<br />

Trigonometry<br />

Using a basic right-angled triangle (see figure A.1)<br />

sin θ =<br />

opposite<br />

hypotenuse<br />

sec θ = 1<br />

cos θ<br />

cos θ =<br />

adjacent<br />

hypotenuse<br />

tan θ = opposite<br />

adjacent .<br />

csc θ = 1 cot θ = 1<br />

sin θ<br />

tan θ .<br />

sec = secant csc = cosecant cot = cotangent.

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