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Celestial sphere

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The celestial sphere is an abstract mathematical concept used in astronomy and navigation. It is an imaginary sphere with an arbitrarily large radius. This sphere is concentric to the Earth, meaning it shares the same center. Astronomers imagine all objects in the sky are projected onto its inner surface. This tool allows scientists to specify an object's position without knowing its actual distance. It provides a way to map the sky as a two-dimensional surface.

Celestial Sphere - Eq w Label figures
Celestial Sphere - Eq w Label figures

Because space is so vast, casual observation does not reveal true distances. All celestial objects appear equally far away to the human eye. They seem fixed onto the inside of a massive sphere. This sphere appears to rotate westward overhead every night. Meanwhile, the Earth feels stationary beneath our feet. In spherical astronomy, it does not matter if the sphere rotates or if the Earth rotates. The celestial sphere can even be considered to have an infinite radius. This means any point, including the observer, can be the center.

Celestial Sphere - Eq w Label figures
Celestial Sphere - Eq w Label figures

An infinite radius has unique geometric properties. All parallel lines will seem to intersect the sphere at a single point. This is similar to a vanishing point in a drawing. All parallel planes will intersect the sphere in a single great circle. This is often called a vanishing circle. On an infinite-radius sphere, all observers see the same things in the same direction. However, some objects are close enough to show parallax. Parallax is a small offset in position seen when an observer moves. For example, the Moon appears to change position against distant stars if you move across the Earth.

Celestial Sphere - Eq w Label figures
Celestial Sphere - Eq w Label figures

Astronomers use different coordinate systems to locate objects on this sphere. These systems are based on lines projected from Earth's features. The Earth's equator projects to become the celestial equator. This line divides the sphere into northern and southern hemispheres. The Earth's axis projects to form the north and south celestial poles. The Earth's orbit around the Sun projects as the ecliptic. The equatorial coordinate system uses right ascension and declination to name positions. The ecliptic coordinate system uses ecliptic longitude and latitude.

Celestial Sphere - Eq w Label figures
Celestial Sphere - Eq w Label figures

Ancient Greek astronomers had complex physical theories about these spheres. Aristotle believed celestial spheres were perfect and divine entities. He thought they were filled with quintessence, a fifth element. He believed this element was pure and could not be corrupted. He divided the world into the sublunary and superlunary regions. The sublunary region contained corruptible elements like fire, water, air, and earth. The superlunary region contained the incorruptible celestial bodies. Aristotle believed these bodies moved in perfect, eternal circles.

JostBurgi-MechanisedCelestialGlobe1594
JostBurgi-MechanisedCelestialGlobe1594

Other Greek thinkers proposed different models for these movements. Eudoxus of Cnidus used 27 concentric spheres to explain planetary motion. Aristotle later expanded this to a model with 55 spheres. Aristotle used unrollers between spheres to manage their motions. This prevented the motion of outer spheres from affecting the inner planets. Eudoxus focused on perfect geometric shapes like the lemniscate. He used these shapes to explain planetary retrogression. Aristotle emphasized that the speed of these celestial orbs remained unchanging.

JostBurgi-MechanisedCelestialGlobe1594
JostBurgi-MechanisedCelestialGlobe1594

History shows a shift from physical spheres to mathematical models. The Greeks believed stars were literally attached to revolving spheres. In the mid-5th century BC, Anaxagoras suggested stars were fiery stones. Later, Giordano Bruno suggested stars were distant suns in 1584. This idea became mainstream in the 17th century. Eventually, the idea of physical spheres was replaced by heliocentrism. However, the concept of a sphere for fixed stars remained useful. Astronomers still use the celestial sphere as a vital shorthand today.

JostBurgi-MechanisedCelestialGlobe1594
JostBurgi-MechanisedCelestialGlobe1594

Sometimes, the celestial sphere is represented as a physical object. These are known as celestial globes. A globe maps constellations on the outside of a sphere. This results in a mirror image of the constellations seen from Earth. The oldest surviving example is the Farnese Atlas sculpture. This was a 2nd-century copy of a Hellenistic work from 120 BCE. These models help people visualize the complex mapping of the heavens. They serve as a tangible way to study the sky's geometry.

JostBurgi-MechanisedCelestialGlobe1594
JostBurgi-MechanisedCelestialGlobe1594
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File:Celestial Sphere - Eq w Label figures.png
Celestial Sphere - Eq w Label figures.png
File:JostBurgi-MechanisedCelestialGlobe1594.jpg
JostBurgi-MechanisedCelestialGlobe1594.jpg
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