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3D Universe: the Milky Way and friends

Created: 2026-01-12
Author(s):
Amelia Ortiz-Gil (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC)), Emilio Terol (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC)), Alberto Fernández-So (University of Valencia Astronomical Observatory Instituto de Física de Cantabria (IFCA, CSIC-UC))
3dUniverse-milkyway-sagittarius

In this multi-age astronomy activity, students explore the dynamic relationships between galaxies using tactile 3D models of the Sagittarius stellar stream, the Local Group of galaxies, and generic spiral and elliptical galaxies. Using these 3D models that were developped in the A Touch of the Universe" project, students explore how galaxies interact, evolve, and form structures in space. Through tactile exploration, guided observation, and mathematical reasoning, students gain insight into the dynamics of the Milky Way’s environment and the cosmic forces shaping it.
The activity is designed to be inclusive and hands-on, making complex cosmic phenomena accessible to all learners, including those who are visually impaired.

Materials
  • 3D printed models of:
    - the Milky Way and the Sagittarius stream (Sagittarius Dwarf stellar stream.stl)
    - the Local Group of galaxies (Local Group.stl)
    - a spiral galaxy and an elliptical galaxy.
    All needed files to print the 3D models (stl files) can be downloaded from the links: “Stellar Stream.zip” and “Local Group.zip”.
  • The files below that you can download and print from attachments:
    Stellar stream labelled ENG.pdf a pdf file to learn who is who in the Sagittarius Dwarf stellar stream model.
    Stellar stream Readme ENG.pdf a short description of the model and Copyright of the project.
    Local Group labelled ENG.pdf a pdf file to learn who is who in the model.
    Local Group Readme ENG.pdf a short description of the model and Copyright of the project.
    Please note that these files are also available in Valencian and Spanish.
  • A computer with an internet connection (and a projector, optional) to show images and videos
  • Pen and paper and/or calculator to write down data about the models and to carry out short calculations

astroedu-3dgalaxies-elliptical

Image: the two 3d models of an elliptical galaxy (left) and a spiral galaxy (right).

Goals
  • Encourage scientific observation and inquiry through guided exploration and questioning.
  • Develop mathematical reasoning through some calculations.
  • Introduce students to the diverse galaxy morphologies, fostering spatial understanding of our galaxy and its location within the Local Group using tactile models.
  • Explore the concept of dark matter and its effects on cosmic structures.
Learning Objectives

Ages 10-12:

  • Recognize that galaxies come in groups.
  • Identify basic galaxy shapes.
  • Understand that the Milky Way has neighbours and interacts with them.

Ages 12-16:

  • Understanding galactic interactions and stellar streams.
  • Applying math to astronomical distances and speeds.
  • Explore the structure and dynamics of the Local Group.

Ages 16-19+:

  • Understanding the future of the Local Group (e.g., Milky Way–Andromeda collision).
  • Connecting theoretical physics with observational evidence.
  • Getting familiar with computations involving large numbers and powers of ten.
Background

The Sagittarius Dwarf stellar stream

Large galaxies have dozens of dwarf galaxies orbiting around them called satellite galaxies because they revolve around a larger host galaxy.

Satellite galaxies are under the influence of the intense gravitational force of the host galaxy, which in some cases causes them to gradually dismember due to the tides it induces: the host galaxy attracts gas, dust and, above all, stars from the satellites as they revolve around it, with stellar arcs appearing along their trajectories in space. These tidal forces are of the same kind as those that produce tides on Earth's oceans. The resulting streams are technically called, therefore, "tidal stellar streams".

One of the Milky Way's satellite galaxies is the Sagittarius Dwarf, a small galaxy with the appearance of an elongated ball and about 10,000 light years in diameter, captured by our own about 4 or 5 billion years ago. Its orbit around the Milky Way is polar (i.e. it moves perpendicular to the disk of our galaxy passing through the north and south galactic poles), approaching as close as 50,000 light years to the center of our galaxy.

The tidal forces exerted by the Milky Way on Sagittarius are causing its gradual dismemberment. In the sky we can see arc-shaped structures that are the trails of stars that are being torn away from the dwarf galaxy. This stellar stream is not the only one that has been identified in our Galaxy, but it is the most prominent and best studied, in particular by ESA's Gaia satellite.

Because the stream is inside the Milky Way halo, the Sagittarius stars are gradually becoming part of the Milky Way, as a result of the collision between both galaxies.

Sagittarius Dwarf, the Milky Way and a few more other galaxies are the members of a galaxy group called the Local Group.

Local_Group_and_nearest_galaxies

Image: Artistic impression of Local Group and nearest galaxies (the photos of galaxies are not to scale). Credits: Antonio Ciccolella - Own work; Link to wikipedia page

The Local Group of galaxies

Galaxy groups are gatherings of at most about 50 galaxies bound together by the force of gravity, confined to a region of space a few million light years across.

Our galaxy, the Milky Way, is bound by gravity to other nearby galaxies, forming the Local Group. This collection of galaxies has a diameter of about 10 million light years. It is part of the Virgo cluster, which in turn is within the larger Laniakea supercluster.

Andromeda (also known as M31) is the largest galaxy in the Local Group. It is estimated to have a diameter of 200,000 light years and is home to 1 trillion (1012) stars. The Milky Way is the second largest galaxy in the Local Group, with an estimated diameter of about 100,000 light years. It has about 100 billion (100x109) stars.

The galaxies of the Local Group

Both Andromeda and the Milky Way are spiral-type galaxies. Very close to both of them we find dwarf spheroidal and irregular galaxies, which are their satellites. Among the satellite galaxies of the Milky Way, the Large Magellanic Cloud, the Small Magellanic Cloud and the Sagittarius Dwarf stand out as the largest.

The Milky Way and Andromeda are approaching each other at the radial speed of about 110 kilometers per second, so they could collide in about 7-8 billion years (Sawala, 2025). The uncertainties in the tangential velocity of Andromeda and the role played by other galaxies, like M33, make it very difficult for astronomers to predict with certainty this collision.

Because the space between stars is quite large, when two galaxies collide, we do not expect stars directly crashing against other stars - they will just change their locations as a consequence of the re-distribution of matter in the newly formed galaxy. Collisions of galaxies are better described as mergers: stars, gas and dust from both galaxies will mix up, and the rise of regions with large contents of dust and gas will induce the formation of new generations of stars in them.

The final fate of the Local Group could be to become an enormous single elliptical galaxy, tens of billions of years from now.

To better illustrate the intricacy of the Sagittarius stellar stream and the Local Group of galaxies, and to make them accessible also to visually impaired publics, we will use two 3D models developed as part of the "A Touch of the Universe" 3D astronomy model collection.

The 3D Sagittarius stellar stream model

The 3D Sagittarius stellar stream model

In this 3D model, we easily identify the Milky Way at the center, with its characteristic spiral arms around the bulge, or nucleus. Attached to the disk is an elongated bulge: it is the Sagittarius spheroidal dwarf galaxy, which is currently very close to the disk of our galaxy.

Starting from Sagittarius and perpendicular to the galactic disk, we can follow the structure of the stellar stream formed by the trail of stars that the Milky Way has stolen from Sagittarius. The small bulges represent stars, and the lattice in which they are found can be interpreted as the gas and dust they have dragged with them.

The presence of loops in the stream indicates that Sagittarius has completed several orbits around the Milky Way, roughly always in the same plane of space passing through the galaxy’s north and south poles, as expected from the laws of Physics.

In the model, the size of the Milky Way’s disk has been exaggerated to be able to connect it to the stellar stream, which in reality is not attached to our galaxy's disk.

The model has been created by Emilio Terol (OAUV), Alberto Fernández Soto (IFCA) and David Martínez Delgado (CEFCA) using real data obtained by the European satellite Gaia, which has measured the positions of one billion stars with great precision.

The 3D Local Group model

The 3D Local Group model

In this 3D model, the brightest galaxies in the Local Group are shown. Their relative positions are accurate, according to the astronomical data available.

The galaxies are "suspended" in the dark matter lattice in which the Local Group is immersed. This halo is not shown in its entirety: we have left gaps so that all the galaxies inside it can be accessed with your hands.

The shape of each galaxy reflects its actual morphology: spiral, spheroidal or irregular.

The largest spiral galaxy is Andromeda. Attached to it in an almost perpendicular position, we find another spiral galaxy: the Triangulum galaxy, the third largest in the Local Group.

Above and below the Andromeda disk we find satellite galaxies, represented by spheres, since most are dwarf galaxies of the spheroidal type. A little further away we also see some irregular ones.

Near the center of the model, we find our Milky Way Galaxy, with its spiral shape. Attached to it are its satellite dwarf galaxies and the two Magellanic Clouds, which barely stand out from the other satellite spheroidal galaxies, but which we can identify by their spiral and irregular shapes and because their ends are sharp to touch. The spiral one is the Large Magellanic Cloud; the irregular one is the Small Magellanic Cloud. The Sagittarius dwarf galaxy is also very close to our Milky Way.

The model has been created by Emilio Terol (OAUV) and Alberto Fernández Soto (IFCA) using real data on distances and positions of the galaxies of the Local Group.

Full Description

Getting ready:

  1. Start by printing the 3D files for the Local Group, Sagittarius stellar streams, generic elliptical galaxy and generic spiral galaxy. This is something that some students might be able to help with, depending on how knowledgeable they are of 3D printing techniques.
  2. Print or open on an electronic device the "Local Group labelled ENG.pdf" and "Stellar stream labelled ENG.pdf" files to be able to identify the different features in the models. They are available also in Spanish and Valencian.

Activity (ages 10-12):

  1. Hand the model of the Sagittarius stellar stream out to the students. Tell them to identify different kinds of components on it and describe them in their own words.
  2. Ask them what they think this model might be about. After a brief exchange of ideas, the teacher may lead the students to the right answers by giving away some clues (this is our Milky Way which has a close friend called Sagittarius that is losing stars in its path around the Milky Way).
  3. Introduce the concept of a satellite galaxy. You can use the analogy of Earth and Moon.
  4. Students identify the different components of the stellar stream, with the help of a map in the file "Stellar stream labelled ENG.pdf".
  5. Explain that the Milky Way gravity force is so large compared to the Sagittarius own gravity, that our galaxy is gradually robbing Sagittarius of all its stars, gas and dust, by tidal interaction, leaving a large trail in space around us. These tidal forces are of the same kind than the ones that produce tides on Earth's oceans.
  6. Sagittarius is a dwarf galaxy which was captured by the Milky Way's gravity about 4,7 billion years ago. Ask students to look up how old the Solar System is. Then make them notice that the Solar System started its existence at about the same epoch. So, the stream has been in the make up since the time when the Solar System began to form!
  7. Hand the model of the Local Group out to the students. Ask them to identify features in the model and describe them in their own words.
  8. Ask them what they think this model might be about. After a brief exchange of ideas, the teacher may lead the students to the right answers by giving away some clues (this is a representation of the Milky Way along with its closest galaxies in the Universe).
  9. Look up the names of some of these features in the map included in the "Local Group labelled ENG.pdf" file. In particular, students should identify the Milky Way and its main satellites: Large Magellanic Cloud, Small Magellanic Cloud and Sagittarius Dwarf; and Andromeda and its larger satellite, Triangulum.
  10. Take the generic spiral and elliptical galaxy 3D models. Ask students to describe them in their own words, and notice the main differences between them.
  11. Let's compare galaxy shapes. Show the generic spiral and elliptical galaxy 3D models. Ask: “Which one looks like the Milky Way?” "And which one looks like Sagittarius?" You can go on asking about the morphology of the other galaxies that the students have been able to identify in the 3D model. The ones that are not spiral or elliptical are considered "irregular" galaxies.
  12. Show an artist rendering of the Local Group and have students compare it to the 3D model
  13. Fun fact: Andromeda, the Large Magellanic Cloud and the Small Magellanic Cloud are bright enough to be seen by naked eye in the sky. They are the only galaxies that we can see without a telescope!
  14. Note how the galaxies are "held together" by the gravitational attraction of a mysterious and unseen dark matter, which is represented as a web of filaments in the Local Group 3D model. Discuss with the class what dark matter is. You can find an explanation for kids at NASA's Space Place.

Activity (ages 12-16):

  1. Follow all previous steps adapting them to the students age, if necessary.
  2. Useful Questions and Answers to lead the conversation:
    QUESTION: The Local Group is about 10 million light years wide. If you have a spaceship that travels at the speed of light (the largest possible in our Universe), how long would you take to travel from one end to the other?"
    ANSWER: 10 million years.
    Stress the fact that light year is a measure of distance.
    QUESTION: If Andromeda and the Milky Way are approaching at a speed of 110 kilometers per second, how much closer do they get in 2 minutes?
    ANSWER: 110 km/s x 2 x 60 s = 13200 km.
    Compare that answer to Earth's diameter (12,756 kilometers). Andromeda and the Milky are a bit more than one Earth's diameter closer every 2 minutes!
    QUESTION: How do galaxies collide?
    ANSWER: Show the students this NASA video with a simulation of the possible merger between Andromeda and the Milky Way.
    OPEN QUESTION: Conduct research about astronomer Fritz Zwicky. How did he discover the presence of dark matter in groups and clusters of galaxies?

Activity (ages 16-19+):

  1. Follow all previous steps adapting them to the students age, if necessary.
  2. Useful Questions and Answers to lead the conversation:
    QUESTION: Sagittarius dwarf has completed about 10 orbits around the Milky Way and started interacting with our galaxy about 4,7 billion (4.7x109) years ago. How long does Sagittarius take to complete 1 orbit?
    ANSWER:
    t = 4.7x109/ 10 = 4.7 108 years, or 470 million years.
    QUESTION: If the Sagittarius stream looped around the Milky Way 10 times and each loop is approximately circular with a radius R= 50 000 light years (the smallest distance to the center of our galaxy), what is the total length L of the stream? How long would it take to go through the entire stream?
    ANSWER:
    the length of one orbit is L = 2 x π x R = 2 x π x 50 000 = 314 000 ly
    The total length of 10 orbits is TL = L x 10 = 314 000 x 10 = 3.14 x 106 ly
    It would take a bit more than 3 million years to travel the whole stellar stream at the speed of light!
    QUESTION: Let's assume that Andromeda and the Milky Way are on a head-on collision course at a speed of 110 kilometers per second. They are currently about 2.5 million (2.5x106 in scientific notation) light years apart. One light year is equal to 9.5 trillion (9.5x1012) kilometers. How long until they collide?
    ANSWER:
    The distance in kilometers between Andromeda and the Milky Way is:
    D = 2.5x106 ly x 9.5x1012 km/ly = 2.37 x 1019 km
    At a speed of 110 km/s, the expected time to collision is:
    t = D / v = 2.37x1019 km / 110 km/s = 2.15 x1017 s
    This is in years:
    ty = 2.15 x1017 s / (3600 s/h) = 5.97x1013 h / 24 h/d = 2.49x1012 d / 365 d/y = 6.82 x 109 y
    This result is quite close to the current estimate of astronomers who think that both galaxies could be together forming a single one in at least 7- 8 x109 years, if they do actually collide, which is uncertain (see Sawala, 2025).
Evaluation

All education levels: Check if the student is correctly answering the questions and mathematical problems proposed throughout the activity.

Ages 10-12:

  • Ask students to describe galaxy shapes using their own words.
  • Have students point to or label the Milky Way, Andromeda, and satellite galaxies on the 3D model.
  • Ask simple questions: “Which galaxy is our home?” or “What shape is this galaxy?”

Ages 12-16:

  • Ask students to write a short essay explaining how the Sagittarius stream formed or why galaxies collide. Evaluate the use of logical reasoning.

Ages 16-19+:

  • Evaluate students’ ability to apply formulas, use scientific notation and solve problems.
  • Check that students correctly discuss and explain concepts to each other using the models.
Curriculum

Ages 10-12:

Natural Sciences:

  • Introduction to the Universe and Earth’s place in space.
  • Structure of the Universe and galaxy types.
  • Basic understanding of gravity and celestial bodies.
  • Observing and describing natural phenomena.

Technology:

  • Use of models and visual aids.
  • Asking questions and forming explanations.

Ages 12-16:

Physics & Earth Sciences:

  • Gravitational interactions and tidal forces.
  • Structure of the Universe and galaxy types.
  • Introduction to dark matter and galaxy evolution.
  • Calculate distances and speeds.
  • Ratios and unit conversions.
  • Observation, hypothesis, and data interpretation.
  • Use of models to represent real-world phenomena.
  • History of Science: contributions of astronomers like Fritz Zwicky.

Mathematics:

  • Basic arithmetic and comparisons.
  • Introduction to large numbers.

Ages 16-19+:

Physics and Astronomy:

  • Interpreting 3D models and astronomical data.
  • Dark matter, galaxy evolution, and gravitational dynamics.

Mathematics:

  • Understanding and working with large numbers, ratios, and unit conversions.
  • Applying scientific notation in real contexts.
Further Reading