8. Translations in Space 🔭

Geometric translations are transformations in the plane that move objects from one place to another without changing their shape or size (Felicitas.Saravi, 2013).

In the universe, the motions of astronomical objects can also be described in terms of translations, although they are a little more complex.

For example, the planets of the solar system move in elliptical orbits around the Sun, which can be described as a translation. However, these translations are affected by the gravitational pull of the other planets and celestial bodies in the solar system.

How can we introduce this topic? Here are some ideas:

Planetary orbits: In class, we investigate the orbits of the planets in our solar system. We can ask the following questions: How do the planets move around the Sun, how long do they take to complete an orbit, are they circular or elliptical orbits?

Translations and orbits: Consider the translation of an object in the plane, such as a triangle, and its possible analogy with the orbital motion of a planet around the Sun. How can planetary motions be described in terms of translations in three-dimensional space? How does this relate to geometry in the plane?

Planetary anomalies: Together, investigate planetary anomalies, such as the precession of the equinoxes or gravitational perturbations. How do these phenomena affect the motion of the planets? How can these motions be described using concepts from geometry?

Examples in the universe: Find other examples of motions in the universe that can be described using concepts from translations and geometry, such as the rotation of galaxies or the expansion of the universe. How do these motions relate to geometry and physics?