AST101 Lecture 11b The Sun-Earth Connection. The Temperature of the Earth The Earth is in equilibrium with the Sun - on average it is neither heating.

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Presentation transcript:

AST101 Lecture 11b The Sun-Earth Connection

The Temperature of the Earth The Earth is in equilibrium with the Sun - on average it is neither heating nor cooling. The equilibrium temperature is set by equating –the heat absorbed from the Sun with –the heat radiated by the Earth. Heat in = heat out

Heat In Energy input comes from the Sun (internal heat is negligible) The Solar brightness = L  / 4π d 2 (solar constant) – L  is the solar luminosity –d is the distance from the Earth to the Sun, 1AU –The solar constant is 1.4 x 10 6 erg/cm 2 /s, or 1400 W/m 2 /s.

Heat Out Approximate the Earth as a blackbody. Output: L E = 4πr 2σ T E 4 (Stefan-Boltzmann law) Input: L in = A πr 2 (L  / 4π d 2 ) A: albedo: fraction of light reflected back to space (=0.39) πr 2 : area of Earth intercepting sunlight

Balance Earth is in equilibrium Output = input (if not, the mean temperature would change) L E = L in 4πr 2 σT E 4 = A πr 2 L  / 4π d 2 Solve for T E. For the Earth, T E = 247K In general, T ~ (L/d 2 ) 1/4

Earth is Not a Blackbody

Greenhouse Effect In equilibrium, T E = 247K In actuality, T E = 287K (14C) The 40K difference is due to the greenhouse effect. –At 247K, the Earth tries to radiate in the IR (Wien ‘s law) –The atmosphere is not transparent in the IR –  Heat is trapped

Greenhouse Effect The blackbody is the most efficient radiator possible The Earth is not exactly a blackbody It must heat up to compensate Greenhouse gasses include –carbon dioxide –Methane –water vapor –nitrous oxide –chlorofluorocarbons, These all absorb infrared light.

Equilibrium Other things being equal, the Greenhouse Effect (GHE) keeps the Earth in equilibrium, but at a hotter temperature than in the absence of the GHE. Is the Earth in equilibrium?

Equilibrium Is the Earth in equilibrium? There has been liquid water on Earth for at least 3.8 billion years The surface temperature has been between 273 and 373 K. Fossils suggest a much narrower range

Washington Post: 1/12/11: “2010 ties 2005 as warmest year on record, researchers say” ABC News: 12/8/09: “Climate: 2009 Caps Hottest Decade on Record” ABC News: 1/21/10: “Climate Change: 2009 Second Warmest Year on Record”

2012 The globally-averaged temperature for 2012 marked the 10th warmest year since record keeping began in It also marked the 36th consecutive year with a global temperature above the 20th century average. The last below-average annual temperature was Including 2012, all 12 years to date in the 21st century (2001–2012) rank among the 14 warmest in the 133-year period of record. (NOAA)

Global Temperatures, Source:

Source: ov/img/climate/globalw arming Mean global temperature, CE

Change in mean sea level since 1870 Source: gov/img/climate/globa lwarming

Source: Predicted global temperatures in the next century

What Causes Global Warming?

Solar Irradiance?

Human Activities?

State of the Climate of-the-climate/2011.php