Celestial globes show the apparent positions of the stars in the sky. They omit the Sun, Moon, and planets because the positions of these bodies vary relative to those of the stars, but the ecliptic, along which the Sun moves, is indicated.
There is an issue regarding the “handedness” of celestial globes. If the globe is constructed so that the stars are in the positions they actually occupy on the imaginary celestial sphere, then the star field will appear reversed on the surface of the globe (all the constellations will appear as their mirror images). This is because the view from Earth, positioned at the centre of the celestial sphere, is of the gnomonic projection inside of the celestial sphere, whereas the celestial globe is orthographic projection as viewed from the outside. For this reason, celestial globes are often produced in mirror image, so that at least the constellations appear as viewed from earth. This ambiguity is famously evident in the astronomical ceiling of New York City's Grand Central Terminal, whose inconsistency was deliberately left uncorrected though it was noticed shortly after installation.
Some modern celestial globes address this problem by making the surface of the globe transparent. The stars can then be placed in their proper positions and viewed through the globe, so that the view is of the inside of the celestial sphere. However, the proper position from which to view the sphere would be from its centre, but the viewer of a transparent globe must be outside it, far from its centre. Viewing the inside of the sphere from the outside, through its transparent surface, produces serious distortions. Opaque celestial globes that are made with the constellations correctly placed, so they appear as mirror images when directly viewed from outside the globe, are often viewed in a mirror, so the constellations have their familiar appearances. Written material on the globe, e.g. constellation names, is printed in reverse, so it can easily be read in the mirror.
Before Copernicus’s 16th-century discovery that the solar system is ‘heliocentric rather than geocentric and geostatic’ (that the earth orbits the sun and not the other way around) ‘the stars have been commonly, though perhaps not universally, perceived as though attached to the inside of a hollow sphere enclosing and rotating about the earth’.[2][3] Working under the incorrect assumption that the cosmos was geocentric the second-century Greek astronomer Ptolemy composed the Almagest in which ‘the movements of the planets could be accurately represented by means of techniques involving the use of epicycles, deferents, eccentrics (whereby planetary motion is conceived as circular with respect to a point displaced from Earth), and equants (a device that posits a constant angular rate of rotation with respect to a point displaced from Earth)’.[4] Guided by these ideas astronomers of the middle ages, Muslim and Christian alike, created celestial globes to ‘represent in a model the arrangement and movement of the stars’.[4] In their most basic form celestial globes represent the stars as if the viewer were looking down upon the sky as a globe that surrounds the earth.