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Damped free drift of an iceberg
(
v
˙
+
fJ
v
+
γ
v
=
F
/
m
)
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Geophysics
Iceberg
Iceberg free drift
2026-10-14
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For
a
constant
wind
force
F
, still
water
, and linear
water
drag force
−
mγ
v
, let
J
v
=
z
^
×
v
. The
Coriolis parameter
f
gives equilibrium
v
∞
=
(
γ
F
−
fJ
F
)
/
[
m
(
γ
2
+
f
2
)]
. The deviation evolves
as
e
−
γ
t
R
(
−
f
t
)
(
v
(
0
)
−
v
∞
)
,
a
damped
inertial oscillation
. Actual drag is commonly quadratic, so this is
a
linear illustrative
model
rather than
a
universal
iceberg
speed
law
.
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(6)
Iceberg free drift
Iceberg
Geophysics
Branches of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 77
/
4
/
Solution
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