☰ Contents · Astronomy

The celestial sphere and the ecliptic

Lessons 4–5 · 2 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
4

The celestial sphere: its main points, circles and lines

Textbook: pp. 8–9
GoalName the main points, circles and lines of the celestial sphere, explain their meaning, and calculate altitude and zenith distance.
New words
celestial sphere · osmon sferasizenith · zenitcelestial equator · osmon ekvatoricelestial meridian · osmon meridiani
Explanation

The celestial sphere is an imaginary sphere of arbitrary radius centred on the observer; bodies are projected on it and only their directions matter. The plumb line meets it at the zenith Z above and the nadir Z′ below; the great circle 90° from the zenith is the mathematical horizon. The extension of the Earth’s axis meets the sphere at the north (P) and south (P′) celestial poles, and the circle 90° from the poles is the celestial equator. The celestial meridian passes through the poles and the zenith; it meets the horizon at the north (N) and south (S) points, while the celestial equator meets the horizon at the east (E) and west (W) points. A body’s altitude h is measured from the horizon, and its zenith distance is z = 90° – h.

Worked examples
If a star’s altitude is h = 35°, its zenith distance is z = 90° – 35° = 55°.
A star with zenith distance 28° stands at altitude h = 90° – 28° = 62° above the horizon.
Class activity

With an adult, build a model of the celestial sphere from a ball and paper rings: mark the equator, meridian and horizon rings and glue on the zenith and poles. Only an adult should use scissors.

Practice
1
How are the zenith and nadir defined?
2
What is the zenith distance of a body at altitude 47°?
3
Through which points does the celestial meridian pass?
4
Why may the radius of the celestial sphere be chosen arbitrarily?