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Figure 11.9: Magnitudes and related irradiation ratios. Object my Sun -26.8 Full Moon -12.5 Venus at brightest -4.4 Jupiter at brightest -2.7 Sirius -1.47 Vega 0.04 Betelgeuse 0.41 Polaris 1.99 Naked eye limit 6 Pluto 15.1 Figure 11.10: Common apparent magnitudes. It is chosen to fix the nominal value of the Sun's magnitude at its nominal luminosity of Ls (mean) = 3.828-1026 W. Apparent bolometric magnitude zero corresponds to a flux density Imag=0 = 2.518021002 - 10-8 W. Hence the apparent magnitude for a space object of irradiance I can be computed one of two ways, either via linking it to the flux density corresponding to mag = 0, or via relation to the Sun's magnitude and the Sun's nominal flux density (solar constant) with the mean nominal value 10 = 1361.0: mag I -2.5log10( ≈ 2.5 log10(I) - 18.997351 Imag=0 = mag Sun -2.5 log10 10 (11.14) (11.15)

Figure 11.9: Magnitudes and related irradiation ratios. Object my Sun -26.8 Full Moon -12.5 Venus at brightest -4.4 Jupiter at brightest -2.7 Sirius -1.47 Vega 0.04 Betelgeuse 0.41 Polaris 1.99 Naked eye limit 6 Pluto 15.1 Figure 11.10: Common apparent magnitudes. It is chosen to fix the nominal value of the Sun's magnitude at its nominal luminosity of Ls (mean) = 3.828-1026 W. Apparent bolometric magnitude zero corresponds to a flux density Imag=0 = 2.518021002 - 10-8 W. Hence the apparent magnitude for a space object of irradiance I can be computed one of two ways, either via linking it to the flux density corresponding to mag = 0, or via relation to the Sun's magnitude and the Sun's nominal flux density (solar constant) with the mean nominal value 10 = 1361.0: mag I -2.5log10( ≈ 2.5 log10(I) - 18.997351 Imag=0 = mag Sun -2.5 log10 10 (11.14) (11.15)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The image shows the apparent magnitude of many objects. I want to know the apparent magnitude of the earth and how to get it from the equaiton in the image.

Figure 11.9: Magnitudes and related irradiation ratios. Object my Sun -26.8 Full Moon -12.5 Venus at brightest -4.4 Jupiter at brightest -2.7 Sirius -1.47 Vega 0.04 Betelgeuse 0.41 Polaris 1.99 Naked eye limit 6 Pluto 15.1 Figure 11.10: Common apparent magnitudes. It is chosen to fix the nominal value of the Sun's magnitude at its nominal luminosity of Ls (mean) = 3.828-1026 W. Apparent bolometric magnitude zero corresponds to a flux density Imag=0 = 2.518021002 - 10-8 W. Hence the apparent magnitude for a space object of irradiance I can be computed one of two ways, either via linking it to the flux density corresponding to mag = 0, or via relation to the Sun's magnitude and the Sun's nominal flux density (solar constant) with the mean nominal value 10 = 1361.0: mag I -2.5log10( ≈ 2.5 log10(I) - 18.997351 Imag=0 = mag Sun -2.5 log10 10 (11.14) (11.15)
Transcribed Image Text:Figure 11.9: Magnitudes and related irradiation ratios. Object my Sun -26.8 Full Moon -12.5 Venus at brightest -4.4 Jupiter at brightest -2.7 Sirius -1.47 Vega 0.04 Betelgeuse 0.41 Polaris 1.99 Naked eye limit 6 Pluto 15.1 Figure 11.10: Common apparent magnitudes. It is chosen to fix the nominal value of the Sun's magnitude at its nominal luminosity of Ls (mean) = 3.828-1026 W. Apparent bolometric magnitude zero corresponds to a flux density Imag=0 = 2.518021002 - 10-8 W. Hence the apparent magnitude for a space object of irradiance I can be computed one of two ways, either via linking it to the flux density corresponding to mag = 0, or via relation to the Sun's magnitude and the Sun's nominal flux density (solar constant) with the mean nominal value 10 = 1361.0: mag I -2.5log10( ≈ 2.5 log10(I) - 18.997351 Imag=0 = mag Sun -2.5 log10 10 (11.14) (11.15)
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