☰ Contents · Astronomy

Celestial coordinates, maps and magnitudes

Lessons 6–8 · 3 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
6

Celestial coordinates

Textbook: pp. 11–12
GoalCompare the horizontal, equatorial and ecliptic coordinate systems and convert right ascension from hours to degrees.
New words
altitude and azimuth · balandlik va azimutdeclination · og‘ish (deklinatsiya)right ascension · to‘g‘ri chiqishhour angle · soat burchagi
Explanation

Just as a place on Earth is fixed by latitude and longitude, a body in the sky is fixed by two angles. In the horizontal system these are altitude h (from the horizon) and azimuth A (in this course, following the school-astronomy rule, measured along the horizon from the south point westward, 0° to 360°; in geodesy and navigation it is counted from north through east instead); these depend on the observer’s place and time and change during the day. In the equatorial system we give declination δ (from the celestial equator, –90° to +90°) and right ascension α (from the vernal equinox eastward, 0 to 24 hours, 1 h = 15°, 1 min = 15′); these turn with the stars and suit catalogues because they do not change in the daily motion. The ecliptic system uses ecliptic longitude λ and latitude β – handy for Solar System bodies. The hour angle t is measured along the celestial equator westward from the southern part of the meridian and links the equatorial system to local sidereal time.

Worked examples
Let α = 6 h 20 min: 6 · 15° = 90°, 20 min = 20 : 4 = 5°, total 95°.
Vega’s right ascension is about 18 h 36 min: 18 · 15° + 36 : 4 = 270° + 9° = 279°; its declination is about +39°.
Class activity

Together with an adult, give “horizontal” coordinates to objects seen from the classroom: with a protractor measure the altitude and azimuth of a treetop seen through a window. Do not look at the Sun.

Practice
1
Which coordinates do not change during the daily motion: horizontal or equatorial (α, δ)?
2
How many degrees is a right ascension of 3 h 12 min?
3
Within what limits does declination vary and from what is it measured?
4
Why are equatorial coordinates convenient for a star catalogue?