3. Centripetal force
“tethers” Moon
to Earth
Directed away
from barycenter
Click for ‘Kiddie’
version of tidesFig. 10-4 a,b
4. Resultant tidal forces
Gravitational
force, Earth and
Moon
Centripetal force,
Earth and Moon
Resultant force
moves ocean
water horizontallyFig. 10-7
Fig. 10-6
5. Tidal bulges
Two equal and
opposite tidal
bulges
Earth rotates
beneath tidal
bulges
Two high tides
Two low tides
Per day
Click on picture Fig. 10-8
6. Complications to simplest
equilibrium theory
Oceans do not cover entire Earth
Oceans do not have uniform depth
Friction between ocean and seafloor
Continents
Moon not always in same place with
respect to Earth
Lunar day longer than solar day
7. Lunar day
Moon revolves around Earth
Earth has to “catch up” with Moon to
reach same position
Fig. 10-9
8. Time between successive high
tides shifts day after day
Moon rises later each
successive night
9. Solar tidal bulges
Tide-producing force of Sun
less than half of Moon’s
Sun much farther away
10. Month tidal cycle
Spring tides
New Moon, Full
Moon
Earth, Moon,
Sun syzygy
Higher than
usual high tides
Fig. 10-12
11. Neap tide
First Quarter,
Last Quarter
Earth, Moon, Sun
quadrature
Lower than usual
high tide
Fig. 10-12
12. Declination of Sun and Moon
Orientation of Sun, Moon to Earth’s
equator
Sun 23.5o
N and S, yearly cycle
Moon 28.5o
N and S, monthly cycle
Unequal tides
Successive tides different tidal range
14. Elliptical orbits
Click picture for
Moon phases
Perigee
Lunar tidal force
greater
Higher high tides
Apogee
Lunar tidal force
lesser
Lower high tides
Fig. 10-16
15. Dynamic theory of tides
Tide shallow-water wave
Speed varies with depth
Lags behind Earth’s rotation
Rotary flow in open ocean basins
Amphidromic point
Cotidal lines
16. Rotary flow
Crest (high tide) rotates
Counterclockwise in Northern
Hemisphere
Clockwise in Southern
Hemisphere
17. Tidal patterns
Diurnal
One high, one low tide per lunar day
Period of tidal cycle 24 hours 50 minutes
Semidiurnal
Two high, two low tides per lunar day
Period 12 hours 25 minutes
Equal range
18. Mixed
Two high, two low tides per lunar
day
Unequal range
Most tides are mixed
19. Standing waves
Forced standing
wave caused by
tides
Free-standing
waves caused by
strong winds or
seismic
disturbances
Fig. 10-22
21. Bay of Fundy
Largest tidal range
(spring tide max 17
m)
Shape of basin
Oscillation period
close to tidal period
Shoals and narrows
to north
Basin oriented toward
right (Coriolis moves
water toward right)
Click picture to see
Fig. 10-24
22. Tidal bores
Wave created by
tide rushes
upstream
Large tidal range
Low-lying coastal
river
Max 8 m high
Click picture to see
a tidal bore.
Fig. 10A