Phases of the Moon
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Phases of the Moon. • Half of the moon is always illuminated. • Half of the moon is always illuminated. • We see all, none, or some of that illumination. The same side of the moon always faces the Earth. The same side of the moon always faces the Earth.

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Phases of the Moon

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Phases of the moon

Phases of the Moon


Phases of the moon

• Half of the moon is always illuminated


Phases of the moon

• Half of the moon is always illuminated

• We see all, none, or some of that illumination


Phases of the moon

The same side of the moon always faces the Earth.


Phases of the moon

The same side of the moon always faces the Earth.


Phases of the moon

The same side of the moon always faces the Earth.

Time for one

rotation

(axis)

Time for one

orbit

(Earth)

=


Phases of the moon

• Half of the moon is always illuminated

• We see all, none, or some of that illumination


Phases of the moon

• Half of the moon is always illuminated

- But it’s not always the same half!

• We see all, none, or some of that illumination


Phases of the moon

A few notes for the take home...

C

4π2

___

________

a3

p2 =

p2 =

MEarth

G(MEarth)

p: period (time for Moon to go around Earth)

a: Moon-Earth distance

Take home #1:

If M becomes 0.5M,

what is the new value of p?


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

A few notes for the in-lab...


Phases of the moon

p2 = a3

p: period in Earth years

for one orbit around the Sun

a: distance in AU

from the planet to the Sun


Phases of the moon

4π2

________

a3

p2 =

G(M1+M2)

G = gravitational constant = 6.67 x 10-11 m3/kg/s2

MSun = 1.99 x 1030 kg

MPlanet << MSun

4π2

________

a3

p2 =

G(MSun)

4π2

________

seconds  years

= 1

G(MSun)

meters  AU


Phases of the moon

GM1M2

_______

F =

d2

F = force that the Moon feels as it orbits

the Earth

M1= Earth’s mass

M2 = Moon’s mass

d = distance between Earth and Moon

If d stays the same, what happens to F

if Earth’s mass decreases?


Phases of the moon

4π2

________

a3

p2 =

G(M1+M2)

G = gravitational constant = 1.475 x 10-34 AU3/kg/day2

MEarth = 5.97 x 1024 kg

MMoon = 7.36 x 1022 kg

p = period in days of the Moon’s orbit around Earth

a = distance in AU between Moon and Earth

1 AU

_____________

400,000km x

a =

= .002667 AU

150,000,000km


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