A
solar day is the time it takes for the Earth to rotate about its
axis so that the
Sun appears in the same position in the sky. A
sidereal day is the time it takes for the Earth to rotate about its
axis so that the distant
stars appear in the same position in the sky. The
solar day is ~4 minutes longer than the
sidereal day.
Although a simple definition of a
day is the time it takes for a
planet, satellite or other
celestial body to complete one rotation about its
axis, two alternative definitions exist. The
sidereal day is measured with respect to the
stars, while the
solar day is the
length of time measured from noon to noon. By noon, we mean the time when the
Sun passes the
celestial meridian, reaching its maximum height in the sky.
As the Earth turns on its rotation axis, it also moves along its orbit around the Sun. This means that the time between successive noons is slightly longer (by about 4 minutes) than the actual rotation period of the planet. In addition, the Earth does not move at a constant speed throughout its orbit, so the apparent motion of the Sun along the ecliptic changes speed from day to day.
To simplify this situation, a fictitious mean Sun is introduced. This is identical to a Sun that was moving at a constant speed along the celestial equator (rather than the ecliptic). The speed chosen is the average speed of the Sun's ecliptic motion, leading to a mean solar day of 24 hours.