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Jan 9, 2024
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NAME & USERNAME: TRENT FREEMAN
SECTION: 07
LAB11-1
LAB 11
STARS AND TIME
INTRODUCTION
This entire lab requires outdoor observing of the night sky. This lab focuses on the diurnal movement of stars in the night sky as they circle
around the North Celestial Pole. You will learn to identify prominent stars and constellations in the early part of the winter night sky and
to track their movement. You will also estimate angular distances in the sky using your hands at arm
’
s length. Recall the helpful apps and
websites (
i.e., Stellarium
) from
Lab 1
that you might want to use to help you in this lab.
In this lab, you will learn about the Navajo, or Diné, Constellations, and their stories. In Diné culture, these stories, as well as the Origin
Story, are part of their
Winter
Stories, which are only proper to tell during winter time,
from the first snow to the first lightning
(roughly
September to March)
.
Please remember that this lab is taught at this time (if outside of Sep. to Mar.) only for educational purposes.
Let us respect Diné culture and history together, and learn how Diné people seek harmony with the sky and nature.
LEARNING GOALS
The points below are the expected topics to understand by the end of this lab period. Remember to review these points before completing
the lab. If you do not understand one, review the steps that cover it and discuss with your instructor.
•
Learn to identify and name constellations
•
Learn to measure angles on the night sky
•
Learn three important Navajo constellations and their significance in the night sky
O U T D O O R S K Y - W A T C H I N G E X E R C I S E
NAME & USERNAME: TRENT FREEMAN
SECTION: 07
LAB11-2
STEP 1: FINDING NÁHOOKÒS CONSTELLATIONS
To get started, find a place where you have a relatively clear, dark view of the night sky. Face north, approximately in the direction of the
San Francisco Peaks. If it is early evening in winter, the Big Dipper will appear low in the sky to your left (towards the West). The North
Star (Polaris) is at the end of the handle of the Little Dipper. The Little Dipper is more difficult to see in general, since many of its stars
are faint. The Big Dipper, however, is much more recognizable, and two
“
pointer
stars”
at the end of the cup point to the North Star as
shown in Figure 7.1.
The Navajo interpretation of the Big Dipper is the
“
Male Revolving
One”
or
Náhookòs Bi
’
k
à’
ii
(pronounced Na Hoe kos bi kah ee
–
Practice pronouncing this and point it out to someone else if you get the chance!). To the Navajo, Náhookòs Bi
’
k
à’
ii is a male warrior and
leader who protects his people and is pictured as lying on his side. He is sympathetic, charismatic, and a provider for his family and home.
As a father, he provides spiritual and physical protection, and he is always paired with his female counterpart
Náhookòs Bi
’áá
dii
(pronounced Na hoe kos Bih aad ee
–
more below). The North Star is known to the Navajo as the
“
Central Fire
”
or
Náhookòs
Bik
ò‘
(pronounced Na hoe kos Bih kwo) and symbolizes the central hearth in a Navajo Hogan.
Describe your location here (city, location in the city, coordinates if you have them):
Flagstaff, west-central part of town, 35 N, 111 W.
Figure 7.1: The Big Dipper, Cassiopeia, the North Star (Polaris) and the
Little Dipper as seen in early winter evening in the Northern
Hemisphere at mid-latitudes. The two stars at the end of the cup in the
dipper are known as the
“
pointer stars
”
because they point to the
North Star. Their names in Western astronomy are Merak (farthest
from the North Star) and Dubhe (closer to North Star). On the other
side of the Big Dipper, you can see Cassiopeia. The brightest star in
Cassiopeia is Shedar, and the neighbor stars are called Caph and Cih
(or Navi).
Figure 7.2: The size and distances between objects in the sky are typically
given as a measure of their angular distance as seen from Earth. These
distances are measured in degrees. A circumference is equal to 360°; one
degree is 1/360; one arcminute is 1/60 of 1°, and one arcsecond is 1/60
of 1 arcminute (or 1/3600 of 1°). To put this in perspective, the Moon has
an angular size of 0.5°, or 30 arcminutes (which is the same as 1,800
arcseconds).
NAME & USERNAME: TRENT FREEMAN
SECTION: 07
LAB11-3
STEP 2: MEASURING ANGLES ON THE SKY
After you have confidently identified Náhookòs Bi
’
k
à’
ii and Náhookòs Bik
ò‘
, you will be ready to use them to measure angles in the sky
(See Figure 7.2). Holding your hand at arm
’
s length, the angular distance that you can measure with your thumb finger is typically one
degree. With that finger, you can cover two moons. Your three middle fingers cover the distance of 5°; with your fist, you can measure
10° in the sky; and the angular distance from the tip of your index finger to the tip of your pinky finger is 15°. These lengths are only
approximate, however, because arm lengths and finger sizes vary from person to person. To be more precise, you must calibrate your hand
and finger measurements by comparing them to stars separated by known angles!
Use the above figures to determine the angular width of 1) your fist and 2) the total width of your 3 middle fingers with your palm open.
Compare your fist at arm
’
s length with different pairs of stars in the Big Dipper as indicated in Figure 7.3
1
. Find which pair best matches
your fist and add or subtract degrees or fractions of a degree to account for any slight differences.
1.
What is the angular width of your fist at arm
’
s length, in degrees?
[0.5pt]
About 70ish
2.
What is the angular width of your middle 3 fingers?
[0.5pt]
About 4
The farthest of the Pointer Stars from the North Star is called Merak (see Figure 7.1). Use your fist to estimate the angular distance from
Merak to the North Star (Náhookòs Bik
ò‘
). Use a method similar to that pictured in Figure 7.4 above.
3.
How many of your fists fit from Merak to Náhookòs Bik
ò‘
?
[1pt]
3 fists I think, if I am looking at the right stars
4.
What is the angular distance from Merak to Náhookòs Bik
ò‘
in degrees then?
[1pt]
I think about 28 degrees
STEP 3: ESTIMATE YOUR GEOGRAPHIC LATITUDE
1
This NASA Night Sky Notes article, Measure the Night Sky (Nov, 2021), has a nice figure of the angular distances of the Big Dipper:
https://nightsky.jpl.nasa.gov/docs/NightSkyNotesNov2021MeasureTheNightSky.pdf.
Figure 7.4: Using your fist to measure an altitude
angle of a celestial object.
Zenith
Horizon
Figure 7.3: Angular distances between the stars of Náhookòs Bi
’
k
à’
ii for
use in calibrating the width of fist and fingers held at arm
’
s distance.
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NAME & USERNAME: TRENT FREEMAN
SECTION: 07
LAB11-4
As you may recall, if you were at the North Pole, Náhookòs Bikò
‘
would be directly overhead, or approximately 90 degrees in altitude
above the Horizon. Not coincidentally, your latitude would also be 90 degrees north. If you were at the Equator, your latitude would be 0
degrees, and Náhookòs Bikò
‘
would be at 0 degrees altitude from the horizon. The altitude of the North Celestial Pole is the same as your
latitude in degrees in the northern hemisphere. Use this fact to estimate your latitude by using your fist to measure the angular separation
between the horizon and Náhookòs Bikò
‘
.Note that you need a clear view to the northern horizon for this to work, or you need to estimate
accurately where that horizon line actually is by starting your fist measurements with your arm exactly level to the horizontal direction
directly below the North Star and then counting fists vertically to the North Star. The official latitude of Flagstaff, AZ is 35° N.
1.
What is your estimate of Altitude of Náhookòs Bikò
‘
in degrees?
[0.5pt]
Roughly 35 degrees
2.
What is your Geographic Latitude of observation? You can put a pin on Google Map and it will tell you your Latitude.
[0.5pt]
70 degrees N
3.
How do these two numbers compare? And what does it say about the uncertainty in your estimate? Give a brief explanation and discuss
the numerical quantities explicitly if you can.
[1pt]
About twice in the northern direction
STEP 4: NÁHOOKÒS
BI’ÁÁDII
The Western Constellation Cassiopeia is often identified as a wide
“
W
”
formed by its brightest stars (see Figure 7.1). It is located on the
other side of Náhookòs Bik
ò‘
(North Star) from Náhookòs Bi
’
k
à’
ii (Big Dipper) and lies in the Milky Way. This
“
W
”
forms part of the
Navajo Constellation
“
Revolving
Woman”
or Náhookòs Bi
’áá
dii. Find this constellation in the evening sky by looking to the upper left of
Náhookòs Bik
ò‘
opposite the North Star. You can also use your app to find the constellation.
Náhookòs Bi
’áá
dii is a woman who exemplifies motherhood and regeneration. She provides growth, stability in the home and the strength
necessary for harmony. Instead of a bow and arrow, her weapons are her grinding stone and stirring sticks, which ensure that she will
always be able to feed her family.
The brightest star of Cassiopeia is Shedar (see Figure 7.1) and it is furthest from the North Star. Use your middle fingers to estimate the
angular distance between Shedar and its neighbors Caph and Cih (or Navi).
1.
What is the angular separation between Shedar and Caph in degrees?
[1pt]
About 13 degrees
2.
What is the angular separation between Shedar and Cih in degrees?
[1pt]
17 degrees
3.
Now find the angular separation between Shedar and Náhookòs Bik
‘ò
in degrees.
[1pt]
About 50ish degrees
Stars with angular separations from Náhookòs Bik
ò‘
that are less than its altitude above the horizon at a particular latitude will never set!
They are said to be circumpolar and will continue to revolve around Náhookòs Bik
ò‘
.
NAME & USERNAME: TRENT FREEMAN
SECTION: 07
LAB11-5
4.
Given your observations above, are either Merak or Shedar circumpolar? Explain your reasoning in a few sentences.
[1pt]
Merak is not likely to be a circumpolar star, although Shedar is. This is due to the fact that Shedar is closer to the celestial pole than Merak.
As a result, for observers at a given latitude, Shedar never sets below the horizon, but Merak rises and sets.
5.
Why might the Navajo refer to these constellations as
“
Revolving
Man”
and
“
Revolving
Woman?”
Explain in a few sentences.
[1pt]
The titles "Revolving Man" and "Revolving Woman" represent the Navajo idea that men and women are complimentary energies that must
coexist in order for society to be balanced and peaceful. The two constellations are also said to represent the never-ending cycle of life,
death, and rebirth.
6.
[BONUS]
If you have time, continue to watch these two constellations off and on for a period of about 2 hours. Which direction do
they circle in (clockwise or counterclockwise) and approximate how much of a full circle do they move through in this amount of
time?
You may use the online Stellarium website to do parts of this Lab: stellarium-web.org, if the sky is cloudy all week long. Turn on the
Azimuthal Grid
in Stellarium to estimate the angular distances for questions in the lab. Please note on your lab if you do it this way, and
contact your instructor directly.
A L T E R N A T I V E S T O O B S E R V A T I O N S