- This is a diagram
which is not-to-scale
of the Earth-Moon system
viewed from the
north celestial pole (NCP)
side of the celestial sphere.
Therefore on the diagram,
east is
counterclockwise and
west is
clockwise.
Recall, as usual in astronomy,
that east
and west are actually angular directions.
- The Sun is so far to the
right
of the diagram
that light rays from it
are parallel
to high accuracy.
- The left sides of the
Earth and
Moon are the
night sides.
- The Earth rotates eastward
(i.e., counterclockwise) daily and the Moon
revolves eastward (i.e., counterclockwise) in a
lunar month.
- Now simple
lunar phase questions
often seem very difficult to people.
But once you get the hang of them, they are easy.
- They are sort of analogous to a problem in algebra
with one equation and THREE VARIABLES.
You can solve for any ONE variable if you know the other TWO.
The three "variables" are:
- Lunar phase
or phase of the Moon.
- Location of Moon
in the sky:
eastern horizon,
eastern sky, near the meridian (AKA celestial meridian),
western sky,
western horizon,
and somewhere below the horizon.
Remember the Moon is always near the
ecliptic: i.e.,
in a day, it will be carried around with the
celestial sphere
on almost the same arc on the sky as the
Sun.
- Time of solar day: e.g.,
sunrise,
noon,
sunset, and
midnight.
(Time is also the same as location on the Earth in these
problems.)
People often find this the hardest one to solve for if it is
unknown.
- The diagram is a sort of an
analog computer
that relates the THREE VARIABLES.
Just identify the two variables you know on the
diagram
and the third variable is then identifiable.
- "You" (AKA the Alien)
locates various times of day.
"Your head" points toward the local meridian.
- Recall, the diagram
is not-to-scale.
In particular, the Earth
and Earth-Moon
are actually small compared to the
Earth-Moon distance,
but "you" are actually a pinprink on the Earth
which looks like an infinite plane to "you".
- For example, at face-value, the diagram
shows "you" CANNOT see the
exact full moon
at exact sunset since it is below
"your" horizon at that moment.
And this is actually true for exact
lunar opposition.
You CANNOT see the center of the
Moon
rise at exact sunset when the center of the
Sun sets.
But the Earth is relatively small,
and Moon
and Sun have finite sizes,
and so "you" see the
Moon rise as the
Sun sets
or "you" see that so nearly as to make no difference to casual description.
- We do NOT usually worry about finicky effects due to the
finite sizes of Earth,
Moon,
and Sun when
answering simple lunar phase questions.
- Also NOTE that the Moon takes a
lunar month
= 29.53059 days (mean J2000 to 7 digits) ≅ 29.5 days
to go eastward from new moon to
new moon
and the Earth rotates eastward once per day.
Thus to 1st order and as a vast SIMPLIFICATION in using the
diagram,
"you" can take the Moon
as fixed on the
rotating celestial sphere
and fixed in
phase for any single day.