PH206 Introduction Cosmic perspective Constellations Circumpolar stars Celestial sphere

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The Hubble Deep field image shows us that there are very many galaxies, some similar to our own Milky Way galaxy. Since we reside within the Milky Way, we cannot yet see how it appears from a distance. Perhaps some day we will venture outside our galaxy, but for now, our earliest probes are barely leaving our solar system. Even so, astronomers have done a lot of work to understand our galaxy and how it is laid out in space. Estimates vary between 100 billion and 200 billion as to how many stars are present in the Milky Way.


The Milky Way is some 100,000 light years across. It is extremely hard for us to grasp distances that large. One way to gain an understanding of this vast distance is to compare it to sizes in our everyday lives, in decreasing scales by powers of ten. The link below takes you to one such journey, beginning with a representation of the Milky Way galaxy, decreasing to our everyday world, and continuing on down to subatomic sizes.


Since ancient times, people have noticed patterns in the stars of the night sky. Stories were built up around the groupings, or constellations that ancient folks identified. These constellations became a backdrop for the stories and lore that was passed down through the generations.


Different cultures saw the groupings in their own ways, and named the constellations to fit these images. For example, Orion the hunter is a constellation from Greek mythology, but the Sumerians named the constellation Uru An-na, and considered it to represent Gilgamesh, their equivalent of Hercules. The Chinese also regarded the constellation as a hunter, but called it Shen. Ancient Egyptians associated this constellation with Osiris, the god of rebirth and the afterlife.

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Constellations look to us to be groupings of stars, but often the stars only appear to us to be close to each other because of our viewpoint. A side view of Orion (which we can only imagine seeing) would show that some of the stars are very far apart from each other, and not really grouped at all. This depiction shows that some stars are a hundred light years apart. Check out this cool Hubblesite animation to see Orion in 3-D.


A light year is not a time a time at all, and really corresponds to how far light travels in a year. Since light travels at 300 million meters per second, a light year is about six trillion miles, or 63,000 times as far away as the sun is from earth. In astronomy, the typical distances that we talk about are so vast that we need really big units to discuss them.

Celestial sphere

Ancient people mapped the heavens and thought of the stars as residing on the surface of a great sphere surrounding the world, called the celestial sphere. We now know that they do not all lie at the same distance from us, but the idea of the celestial sphere is still used, since it is a convenient way to describe the locations of the stars in the night sky, as viewed from earth.

The above image is a time-lapse photograph that shows the paths stars take over the course of a few hours. The constellations appear to move across the sky at night. Of course, it is really the result of earth’s rotation that we are noticing. Stars do move, but they are so far away that we cannot discern their motion over the course of one night. The star that happens to lie directly over the north pole seems to stand still. We call this the North Star, or Polaris. You can locate Polaris by finding the Big Dipper, and tracing a line from the front two stars to the tail of the Little Dipper. If you watch the Big Dipper over the course of a night, you will see that it rotates around Polaris. We call stars that do this “circumpolar stars.” If you look away from the north, you will see that the stars still seem to have a curved progression across the sky. There is currently no star that sits just above the south pole, but there are circumpolar stars in the southern hemisphere.

Over the course of a year, earth takes a lap around the sun. At any given time of year, some stars will not be visible to us, because the lie behind the sun or are close enough to it that they are only “out” in the day. The constellations that lie along the path that the sun appears to take in the sky are known as the zodiac stars. Ancient people such as the builders of Stonehenge and other early “observatories” were very adept at keeping track of the apparent motions of constellations, and developed calendars built on the knowledge that they gained by watching the heavens.

Retrograde motion

If you take a photograph at the same time each night, the stars will appear to occupy the same place in the sky. The Ancients noticed that there were a few "stars" that did not follow this pattern, but instead, moved against the background of the night sky when viewed on successive nights. These objects were named "planets" which is the Greek word for "wanderers." Sometimes the planets even appear to move backward, as seen in this corresponding composite video where Saturn, on the left and Mars, on the right undergo retrograde motion. For more details on the retrograde motion of Mars, please check out this NASA webpage.

The cosmic distance ladder

Measuring distances in astronomy is a very important aspect of understanding the interactions between bodies in the universe and the dynamics of the universe as a whole. Since there is such a wide range of distances to consider, we need several methods to determine distances between objects. We will find that calculating the distance to "nearby" objects like the nearest stars requires a very different method than is necessary for calculating distances to stars that are farther away.

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The method we use to calculate distances to the nearest stars is called "stellar parallax." It is basically just triangulation, based on knowing the area of a triangle if your know the length of the base and the base angles. Here, distance shown for the base is the diameter of Earth's orbit about the sun.


We define the distance called a "parsec" using the parallax method, as shown in the above equation. Here, the angle is measured in arc-seconds. If you divide up the sky into 360 degrees, 1/60 of one degree is called an arc-minute, and 1/60 of an arc-minute is called an arc-second. One parsec is defined as the distance to an object that subtends an angle of one arc-second.


As shown in the diagram, one astronomical unit (AU) is defined as the distance between Earth and the sun.


1 parsec = 206,265 AU = 3.3 light years = 19 trillion miles = 31 trillion kilometers


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This image shows the distances to a few nearby stars. The closest star is Alpha Centauri, 4.367 light years away.


We cannot use stellar parallax to measure distances to stars that are considerably farther away, since their apparent motion across the sky is so small that their parallax angles are not measurable. To measure distances to these stars, we use a method called "spectroscopic parallax. Basically, the idea here is that stars spend most of their lives shining at a certain intrinsic brightness, or luminosity, that depends on their mass and surface temperature. We compare this intrinsic brightness to how bright they appear to us to estimate the distance. This method is good to about 10,000 parsecs away. We will discuss spectroscopic parallax in detail in chapter 17.

One way to understand size scales is by considering a model. Here is one such model of our solar system. Please visit this link and investigate the various options.

Notice that it is not possible to view the relative size of the sun and Earth and also their distance apart in this small diagram. There is just too big of a difference in the relative length scales. What if we had more room? Let's look at how we could build a scale model of our solar system. We need to start by choosing one object's size. Let's assume that in our model, the sun is the size of a bowling ball. Comparing the size of a bowling ball will allow us to calculate the other relative distances in our scale model. We also need to know the real distances involved.

Here, dEarth is the diameter of the real earth, dball is the diameter of a bowling ball, dSun is the diameter of the sun.
The diameter of the ball and the diameter of the real Sun will set the scale for our whole scale model.

The ratio (fraction) of the ball to the sun is the same as the ratio of the earth in our model to the real earth.

We will define dearth as the diameter of the Earth in our scale model and use a little algebra to solve for it.

Now we can plug in numbers to find out how big our model Earth is. It is tiny! 2 mm is the size of a small bead. In our model, if the Sun is a bowling ball, Earth is a small bead.

Now let's figure out how far apart they should be in our model.

We need to know how far apart the Earth and Sun really are. That is 1 AU or one Astronomical Unit. This shows an astronomical unit in meters. 1 AU in miles is about 90 million miles.

We can use the same ratio to calculate how far apart the bead would be from the bowling ball in our model.

Plugging in the numbers, we can see that the distance in our model would be 24 meters.


Now, let's use this same method to figure out how far away the nearest star would be in our model.

The true distance to the nearest star,  Alpha Centauri, is 4.0 x 10
16 m.

First, make a guess about how far you think it would be. After you have a mental picture of how far the nearest star would be if Earth was a tiny bead and the Sun was a bowling ball 24 paces away.
click here for the answer.

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Most of what we will discuss in this class has to do with the science of the stars themselves, not the naming of constellations or their importance culturally. Everything we know about stars comes from the information we get from their light. We will begin by studying how that starlight encodes details like the chemical composition of the star, how hot it is. We will learn how to use that information to glean even more details about the star, like how far away it is and how old it is. We will learn about how a star is born, how to understand the process of fusion in its core. We will also focus on how the star evolve and about how it ends up as a white dwarf, neutron star or black hole. Most people enter an astronomy class with a fascination for the stars, in a personal and poetic way. I hope that you come away from this class with an even greater fascination, even after you learn what makes them shine.


PH206 Introduction Cosmic perspective Constellations Circumpolar stars Celestial sphere

Here, dEarth is the diameter of the real earth, dball is the diameter of a bowling ball, dSun is the diameter of the sun.
The diameter of the ball and the diameter of the real Sun will set the scale for our whole scale model.

© 2023
PH206 Introduction Cosmic perspective Constellations Circumpolar stars Celestial sphere

© 2023