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Wednesday, May 20, 2020

Tying planetary geometry to Earth’s ice ages

Milutin Milanković
was a brilliant Serbian 
mathematician 
and climatologist.

In 1941 he claimed that 
variations in Earth’s orbit 
could push the planet’s 
climate in or out 
of an ice age.

Vital to that idea is the
 amount of insolation
—incoming solar radiation—
at 65° N, just south 
of the Arctic Circle. 

At that latitude, 
insolation can vary
seasonally by 25%. 

Milanković argued that 
reductions in summer 
insolation allow some 
winter ice to survive. 

Each year, for thousands 
of years, ice accumulates 
around 65° N, and eventually 
forms sheets large enough 
to trigger an ice age.

Three scientists 
joined forces 
30 years later
to verify Milanković’s 
theory using 
deep-sea sediment 
cores collected by the 
international Ocean 
Drilling Program. 

James Hays, 
Nicholas Shackleton and 
John Imbrie published 
a paper in 1976 
showing that their 
climate records 
contained the 
same cycles 
as three 
parameters 
that describe 
Earth’s orbit: 
eccentricity, 
obliquity, and 
precession.


Milankovitch cycles 
include three types
 of variation in Earth’s 
motion. 


(1) Eccentricity 
Eccentricity describes 
the shape of Earth’s orbit 
around the Sun. 

As Earth experiences 
a gravitational force 
from Jupiter, its orbit 
adjusts during 
a 96,000-year 
period from nearly 
a perfect circle 
to an ellipse, 
which causes 
minor variations 
in total isolar insolation.
(incoming solar energy).



(2) Obliquity
Obliquity is the tilt of Earth’s 
axis of rotation.

It fluctuates during a period 
of 41,000 years, between 
21.8˚ and 24.4˚, and is currently 
at 23.4˚. 

A larger obliquity generates 
a greater difference in the 
insolation Earth receives 
during summer and winter.



(3) Precession 
Precession consists of 
the spin of Earth’s 
rotational axis and 
its orbital path 
over time; 
the combined effects 
of those two 
components produce 
an approximately 
21, 700-year cycle.
and influences Earth’s 
closest approach 
to the Sun. 

During each hemisphere’s 
summer, precession has 
the greatest effect 
in the tropics. 

Tidal forces 
of the Sun and Moon, 
amplified by Earth’s 
oblate spheroid shape, 
cause one component 
of precession. 

Those forces exert
 gyroscopic motion 
on the planet that 
changes the orientation 
of its rotational axis. 

The second component 
of precession moves Earth’s 
entire orbit around the Sun 
in space and resembles 
the petals of a flower.




The  Recent  Ice  Ages:
Over the past 2.5 million years, 
Earth has had 50 major ice ages, 
and each has significantly 
changed the planet’s climate.

During the last ice age peak, 
21,000 years ago, a nearly 
continuous ice sheet 
spanned North America. 

Across Hudson Bay 
it was more than 
two miles deep, and 
reached as far south 
as New York City 
and Cincinnati, Ohio. 

The British–Irish ice sheet 
spread as far south as Norfolk, 
and the Scandinavian ice sheet 
extended from Norway 
to the Ural Mountains
 in Russia.

In the Southern Hemisphere,
large ice sheets covered 
Patagonia, South Africa, 
southern Australia, and 
New Zealand. 

So much water 
was locked in all those 
ice sheets on land 
that global sea level 
dropped 120 meters 
(  about 400 feet ). 

If all the Antarctic 
and Greenland ice 
melted today, 
sea level would rise 
only by 70 meters.


For the past million years,
ice sheets have taken 
at least 80 ,000 years 
to reach their maximum ice 
( which last occurred
about 21,000 years ago ). 

Ice glaciers 
seem to melt 
much quicker 
than they formed
 -- 80% of expanded 
ice sheets can be lost
in just 4,000 years.

Summer sunshine at 65° N 
starts the melting of Northern 
Hemisphere ice sheets. 

Ultimately, 
rising sea levels 
reduce large ice sheets 
because the coldest 
that seawater can be 
is −1.8 ˚C, while the 
temperature of the 
ice sheet’s base 
is −30 ˚C. 

As seawater melts
the ice sheets by 
undercutting them, 
ice calves (breaks off 
near the glacier edge) 
into the ocean. 

The calving raises
sea level further and
causes more undercutting 
(see Physics Today, 
October 2019, page 14). 

The last million years of 
glacial–interglacial cycles, 
each lasting about 
100,000 years, have a
pattern -- a long period 
of cooling. followed by 
a short, warm period 
of rapid melting. 

More than 
a million 
years ago,
the cycles 
were smoother, 
and each lasted 
only 41,000 years.

That period corresponds 
to the length of the orbital 
change associated with 
obliquity, which controls 
the heat transfer between 
low and high latitudes, 
and regulates ice growth.

For many years,
scientists struggled
to explain the 
100,000-year 
glacial–interglacial cycles, 
because the 96 ,000-year 
eccentricity mechanism 
has a similar length. 

The 100,000-year cycle 
is actually a 
statistical artifact: 
 The average length 
of the last eight cycles 
is 100,000 years, 
but each one varied 
from 80 ,000 to 
120,000 years. 

Every fourth or fifth 
precessional cycle 
is weak enough 
that ice sheets can 
grow bigger and thus 
be more vulnerable 
to sea-level rise 
during deglaciation. 

The timing of deglaciation 
seems to better match 
precession, but some 
researchers have argued 
that the long glacial
–interglacial cycles 
may correspond to 
every second or third 
obliquity cycle.

The influence 
of precession 
further increases
every 96 ,000 years, 
when eccentricity peaks,
and it is greatest once 
every 413,000 years,
when Earth’s orbit 
reaches its most elliptical.



To predict the next ice age, 
scientists are studying 
planetary geometry and
greenhouse gas emissions. 

The next major natural 
temperature change 
would be 80,000 years 
of global cooling, 
if past 100,000 year
cycles repeat.

Adding CO2 to the 
atmosphere has been 
claimed to be the cause
of mild warming since 1975

If that belief is true,
CO2 warming 
will delay 
the start 
of the next 
80,000 year 
cooling trend, 
which would be 
very good news !