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Chapter 2 Solar Energy to Earth and the Seasons. Robert W. Christopherson Charlie Thomsen. Solar Energy to Earth and the Seasons. The Solar System, Sun, and Earth Solar Energy: From Sun to Earth The Seasons . The Solar System, Sun, and Earth . Solar System formation and structure
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Chapter 2Solar Energy to Earth and the Seasons Robert W. Christopherson Charlie Thomsen
Solar Energy to Earth and the Seasons • The Solar System, Sun, and Earth • Solar Energy: From Sun to Earth • The Seasons
The Solar System, Sun, and Earth • Solar System formation and structure • Gravity • Planetesimal hypothesis • Dimensions and distances • Speed of light • Earth’s orbit
Solar System Formation and Structure • Gravity • Mutual attracting force exerted by mass on all other objects: g=9.8 m/s2 • G ≈ 6.67428×10−11 m3/(kg·s2). • F: kg*m/s2 =1 Newton
Planetesimal hypothesis Sun condensed from nebular clouds 4.6 billion years ago. Big Bang ~13 billion years ago. Solar System Formation and Structure
Milky Way Galaxy Figure 2.1
Dimensions and Distances • Speed of light • 299,792 km/s(≈3.0×108m/s) (186,282 mi/s) • Milky Way Galaxy 100,000 ly across • Our Solar System 11 light-hours across • Moon is 1.28 light-seconds away
Dimensions and Distances • Earth’s orbit • Average distance from Earth to the Sun is 150,000,000 km (93,000,000 mi) • Perihelion – closest at January 3 • 147,255,000 km (91,500,000 mi) • Aphelion – farthest at July 4 • 152,083,000 km (94,500,000 mi) • Earth is 8 minutes 20 seconds from the Sun • Plane of Earth’s orbit is the plane of the ecliptic
Our Solar System Figure 2.1
Pluto not a Planet since 2006 New Definition by International Astronomical Union in 2006: A “planet” is a celestial body that (a) is in orbit around the Sun, (b) has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape, and (c) has cleared the neighbourhood around its orbit. Pluto is now called a Dwarf Planet on account of its size and the fact that it resides within a zone of other objects, known as the Kuiper Belt A dwarf planet is an object in orbit around the Sun that is large enough (massive enough) to have its own gravity pull itself into a round (or nearly round) shape. Generally, a dwarf planet is smaller than Mercury. A dwarf planet may also orbit in a zone that has many other objects in it. For example, an orbit within the asteroid belt is in a zone with lots of other objects. Figure 2.1
Solar Activity and Solar Wind • Diameter 1,392,000km (~109 Earths diameter ), Contain 99.86% of mass in solar system. • 3/4 of Sun is hydrogen, the rest is helium (<2% of other elements, Fe, O, C etc.) • Nuclear fusion of hydrogen nuclei into helium, surface temp 5780 oK. The Sun orbit the galactic center once per 225~250 my. • Sunspots have activity cycle of 11 years. It is indicator of solar activity. • Solar wind: streams of electrically charged particles (hydrogen nuclei and free electrons) leaving the sun and can reach the Earth in 3 days. Figure 2.2
The Electromagnetic Spectrum • Sun radiates shortwave energy Planck’s Law: Blackbody spectral radiant emittance Where h: Planck Constant, 6.626E-34 ws2 c: speed of light in vacuum 3.0E+8 m/s : wavelength in meters T: temperature in degrees Kelvin K: Boltzman constant, 1.38054E-23 ws/K M: blackbody spectral exitance at T, unit = watts per square meter area per meter wavelength
The Electromagnetic Spectrum Stefan-Boltzmann’s Law: Where is Stefan-Boltzmann constant (5.676E-8wm-2K-4)
The Electromagnetic Spectrum Wien’s Law: The wavelength at which a blackbody radiates most energy: A=2.898E-3 mK
Wavelength and Frequency Frequency: number of full waves passing through a point in unit time freq=c/λ Figure 2.5
Particle Property Particle Properties: Radiation travels in bundles of energy unit, called photons. The photons possess particle property, most notably photons can be reflected.
Energy of Photons EMR transfers in terms of energy packets or quanta in accordance with quantum theory. The particle that carries energy is called a photon. The amount of energy (Joules) carried by a single photon is Unit: Joules Where h=6.6256E-34 J/s. It is obvious, the shorter the wavelength, the more the energy a photon carries. The total energy in a ray beam is the summation of the energy carried by all the photons that makeup the beam. Unit: Joules
Unit of Energy Energy: Unit: Joules=J Adding time energy measure: Energy flux Unit: Joules/second=Watts=W Adding area to energy flux: energy flux density Unit: Joules/second/m2=W/m2
The Electromagnetic Spectrum Figure 2.6
Solar Constant The radiant flux density at the top of the atmosphere perpendicular to the sun beam: S=1367 w/m2 Plane measuring S Top of Atmosphere Earth
Solar and Terrestrial Energy Figure 2.7
Earth’s Energy Budget Shortwave Reflected Radiation Balance Equation: Figure 2.8
Distribution of Solar Radiation on Earth Surface • Tropics receive more concentrated insolation due to Earth’s curvature • Tropics receive 2.5× more than poles
The Seasons • Seasonality • Reasons for seasons • Annual march of the seasons
Insolation at Top of Atmosphere Figure 2.10
Seasonality • Seasonal changes • Sun’s altitude – angle above horizon • Declination – location of the subsolar point • Daylength
Unit: w/m2 TOA Daily Net Radiation Measured by Satellite (Nimbus-7) in space. Figure 2.11
Reasons for Seasons • Revolution • Rotation • Tilt of Earth’s axis • Axial parallelism • Sphericity
Reasons for Seasons • Revolution • Earth revolves around the Sun • Voyage takes one year (365.25 days more accurately) • Earth’s speed is 107,280 kmph (66,660 mph) • Rotation • Earth rotates on its axis once every 24 hours • Rotational velocity at equator is 1674 kmph (1041 mph)
Revolution and Rotation Figure2.13
Reasons for Seasons • Tilt of Earth’s axis • Axis is tilted 23.5° from plane of ecliptic • Axial parallelism • Axis maintains alignment during orbit around the Sun • North pole points toward the North Star (Polaris) • Sphericity: not perfect sphere because of rotation, the equator is bulging out Sphericity: f = 1-short/long =1/298 f=? for a perfect sphere.
Axial Tilt and Parallelism Sun declination angle: -23.5~23.5o Figure 2.14
Annual March of the Seasons • Winter solstice – December 21 or 22 • Subsolar point Tropic of Capricorn • Spring equinox – March 20 or 21 • Subsolar point Equator • Summer solstice – June 20 or 21 • Subsolar point Tropic of Cancer • Fall equinox – September 22 or 23 • Subsolar point Equator
11:30 P.M. in the Antarctic Figure 2.16
Seasonal Observations 40oN Figure 2.18
End of Chapter 2 Geosystems 7e An Introduction to Physical Geography