The shape of Earth is spheroid like an orange, a bit flat on the poles. The sphere of Earth is called The Terrestrial Sphere.
The
celestial sphere is an imaginary sphere with the earth at its center.
Terrestrial and Celestial Equators
Terrestrial Equator is
an imaginary great circle on the surface of earth, which divides the earth into
two equal halves (Hemispheres), and its poles are at the centre of both the
flat portions.
The Celestial Equator
is an imaginary line around the middle of the Celestial Sphere
The
Celestial Equator is like earth's equator, but at a much greater radius.
Celestial Pole
The celestial poles are
imaginary lines that trace the Earth’s rotation axis in space. The Earth has
two celestial poles – the Northern Celestial Pole and the Southern Celestial
Pole. At the moment, these poles correspond to the geographical North and South
Pole. Because of this, objects that lie on the celestial pole do not seem to
move at all for observers on Earth, while all other objects, mostly stars, seem
to move in a circle around the pole.
Celestial Sphere
The celestial sphere is an
imaginary sphere that extends infinitely into space with the Earth at its
center.