Insolation




Movies

A movie depicting Earth's changing orbit over the last 100Ky. The orientation is such that spring equinox (indicated by a vertical bar) is directly to the front with the sun behind it. Northern Hemisphere summer is to our right, and Northern Hemisphere winter is to the left. The apsidal (dashed) line connects perihelion (Earth's closest approach to the sun) to aphelion (the point when Earth is furthest from the sun). The rotaion of the apsidal line occurs because of the precession of the equinoxes and has a roughly twenty-two thousand year period. The semi-circle around the Earth indicates the location of the equator and the straight line is the polar axis. Obliquity is defined as the angle beetween the orbital and equatorial planes. The variations in Earth's obliquity and the eccentricity of Earth's orbit have both been increased in magnitude by a factor of ten. Also, the Earth's angular velocity has been decreased by a factor of five thousand. Note that Earth's angular velocity is slowest at aphelion and fastest at perihelion.
Earth's variable orbit (74 MB, avi format)

A movie similar to the above but where the perspective is initially one of looking down upon Earth's orbital plane and is then rotated such that spring equinox is in the foreground with the sun behind it.
Earth's variable orbit from two perspectives (169 MB, avi format)

A movie depicting the changes in insolation inensity at the top of Earth's atmosphere over the last 400Ky. Shading indicates the diurnally averaged insolation in Watts per meter squared as a function of latitude and day of the year. The black triangle at bottom indicates the location of perihelion. At left is the anomally in annual average insolation, which varies with changes in Earth's obliquity.
Orbitally induced changes in insolation (8 MB, avi format)


Summer energy

Summer energy is defined as the sum of the diurnal average insolation on days exceeding a specified threshold. Plots of summer energy are provided for the last 500 ky for various thresholds at various latitudes: 85S, 75S, 65S, 55S, 45S, 35S, 25S, 15S, 5S, 5N, 15N, 25N, 35N, 45N, 55N, 65N, 75N, 85N.


Seasonal cycle

The seasonal cycle is depicted under various orbital configurations. Each figure has five sub-panels where the top panel shows the seasonal cycle when Earth's obliquity is 23.3 (the average value) and Earth's closest approach to the sun (perihelion) occurs variously during northern hemisphere summer, fall equinox, winter, and spring equinox. The low four panels show the seasonal cycle for each orientation of perihelion with respect to the seasons but for an obliquity of 22.3 23.3 and 24.3 degress. A relatively large eccentricity of 0.05 is used for all insolation figures: 85S, 75S, 65S, 55S, 45S, 35S, 25S, 15S, 5S, 5N, 15N, 25N, 35N, 45N, 55N, 65N, 75N, 85N.






Older material

Insolation (Watts/meter^2) plotted against Age (thousands of years before present) and Julian Day
for 5 degree latitudinal increments between 90 South and 90 North.
90S 85S 80S 75S 70S 65S 60S 55S 50S 45S 40S 35S 30S 25S 20S 15S 10S 5S Equator
90N 85N 80N 75N 70N 65N 60N 55N 50N 45N 40N 35N 30N 25N 20N 15N 10N 5N


Mean annual insolation plotted against latitude and time.
Mean Annual Insolation


Seasonal Insolation
January April July October


Insolation Gradients
Tropical Extra-tropical gradient 15 and 65 north gradient


Insolation Movies. In order to depict spatial (latitude and longitude) and temporal (annual and >18KY) variability,
insolation is zonally averaged and projected onto a sphere. Each degree of longitude roughly corresponds to a day of the year,
and both the dominant seasonal cycle and long term orbital changes are evident. For the equatorial view, the perspective rotates
to make all the seasons observable.
Polar view (3 MB, mpeg format)
Equatorial view (4 MB, mpeg format)