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Lecture 16

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Eccentricity. e = b/a. a = 1/2 major axis (semi-major axis) b = 1/2 distance between foci ... Eccentricity (orbit shape) 100,000 yrs. 400,000 yrs. Obliquity ... – PowerPoint PPT presentation

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Title: Lecture 16


1
Lecture 16Oxygen isotopes/Keplers laws
  • Abiol 574

2
How do we know how warm it was millions of years
ago?
  • Ice cores bubbles contain samples of the
    atmosphere that existed when the ice formed.
    (ancient pCO2)
  • Marine isotopes oxygen isotopes in carbonate
    sediments from the deep ocean preserve a record
    of temperature.
  • The records indicate that glaciations advanced
    and retreated and that they did so frequently and
    in regular cycles.

3
Oxygen isotopes and paleoclimate
  • Oxygen has three stable isotopes 16O, 17O, and
    18O. (We only care about 16O and 18O.)
  • 18O is heavier than 16O.
  • The amount of 18O compared to 16O is expressed
    using delta notation
  • Fractionation Natural processes tend to
    preferentially take up the lighter isotope, and
    preferentially leave behind the heavier isotope.

? 1000
4
Oxygen isotopes and paleoclimate
  • Oxygen isotopes are fractionated during
    evaporation and precipitation of H2O
  • H216O evaporates more readily than H218O
  • H218O precipitates more readily than H216O
  • Oxygen isotopes are also fractionated by marine
    organisms that secrete CaCO3 shells. The
    organisms preferentially take up more 18O as
    temperature decreases.

5
Oxygen isotopes and paleoclimate
so cloud water becomes progressively more
depleted in H218O as it moves poleward
Precipitation favors H218O
and snow and ice are depleted in H218O
relative to H216O.
Evaporation favors H216O
H218O
H218O
Ice
Land
H216O, H218O
Ocean
6
Oxygen isotopes and paleoclimate
  • As climate cools, marine carbonates record an
    increase in d18O.
  • Warming yeilds a decrease in d18O of marine
    carbonates.

JOIDES Resolution
Scientists examining core from the ocean floor.
7
Long-term oxygen isotope record
From K. K. Turekian, Global Environmental Change,
1996
8
Drake Passage
9
O isotopes during the last 3 m.y.
Kump et al., The Earth System, Fig. 14-4
  • Note that the cyclicity changes around 0.8-0.9
    Ma
  • - 41,000 yrs prior to this time
  • - 100,000 yrs after this time

10
O isotopesthe last 900 k.y.
  • Dominant period is 100,000 yrs during this time

after Bassinot et al. 1994
11
Ice Age Cycles 100,000 years between ice
ages Smaller cycles also recorded
every 41,000 years, 19,000 - 23,000
years This was the dominant period prior to
900 Ma
12
Milutin Milankovitch, Serbian mathematician 1924
--he suggested solar energy changes and seasonal
contrasts varied with small variations in Earths
orbit He proposed these energy and seasonal
changes led to climate variations
NOAA
13
Before studying Milankovitch cycles, we need to
become familiar with the basic characteristics of
planetary orbits Much of this was worked out in
the 17th century by Johannes Kepler (who observed
the planets using telescopes) and Isaac Newton
(who invented calculas)
14
Keplers Laws
First law Planets travel around the sun in
elliptical orbits with the Sun at one focus
r
r
r r 2a a semi-major axis ( 1 AU for
Earth)
a
15
Eccentricity e b/a a 1/2 major axis
(semi-major axis) b 1/2 distance between foci
b
a
16
Eccentricity e b/a a 1/2 major axis b 1/2
distance between foci Sun-Earth
distances Aphelion a(1 e) Perihelion
a(1 e)
Perihelion
Aphelion
a
17
Eccentricity e b/a a 1/2 major axis b 1/2
distance between foci Sun-Earth
distances Aphelion a(1 e) Perihelion
a(1 e)
Today e 0.017 Range 0 to 0.06 Cycles
100,000 yrs


b
a
18
Keplers Second Law
2nd law A line joining the Earth to the Sun
sweeps out equal areas in equal times
Corollary Planets move fastest when they are
closest to the Sun
19
Keplers Third Law
  • 3rd law The square of a planets period, P, is
    proportional to the cube of its semi-major axis,
    a
  • Periodthe time it takes for the planet to go
    around the Sun (i.e., the planets year)
  • If P is in Earth years and a is in A.U., then
  • P2 a3

20
Other characteristics of Earths orbit vary as
well. The three factors that affect climate are ?
21
Eccentricity (orbit shape) 100,000 yrs
400,000 yrs Obliquity (tilt--21.5 to 24.5o)
41,000 yrs Precession (wobble) 19,000
yrs 23,000 yrs
http//www.geo.lsa.umich.edu/crlb/COURSES/205/Lec
20/lec20.html
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