☰ Contents · Astronomy

Measuring time and calendars

Lessons 13–14 · 2 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
13

Basics of time measurement

Textbook: pp. 21–22
GoalDistinguish sidereal and solar days, true and mean solar time, and local and standard time, and compute a time difference from a longitude difference.
New words
sidereal day · yulduz sutkasimean solar time · o‘rtacha quyosh vaqtistandard (zone) time · mintaqaviy vaqtUTC · UTC
Explanation

Time measurement is based on the regular repeating motion of celestial bodies. A sidereal day is the time between two successive upper culminations of the vernal equinox point (23 h 56 min 4 s); a solar day is the time between two culminations of the Sun and, because the Earth also moves along its orbit, averages 24 hours. The true solar day is uneven through the year, so the idea of a mean Sun was introduced; the difference in times (the equation of time) varies through the year from about –14 to +16 minutes. Local time differs at every meridian: a longitude difference of 15° gives 1 hour, 1° gives 4 minutes. For convenience the Earth is divided into 24 zones; Uzbekistan keeps UTC+5 all year round. Modern timekeeping rests on atomic clocks: since 1967 the second has been defined by 9,192,631,770 periods of radiation of the caesium-133 atom, and UTC is kept in step with the Earth’s rotation by leap seconds for now (they are planned to be dropped by 2035).

★Remember
A longitude difference of 15° = 1 hour, 1° = 4 minutes.
Worked examples
A place at longitude 60° E has local time 60 : 15 = 4 hours ahead of Greenwich.
CityZoneTime
TashkentUTC+512:00
Greenwich (UTC)UTC07:00
MoscowUTC+310:00
When it is 12:00 in Tashkent (UTC+5), UTC is 12 – 5 = 7, i.e. 07:00; in Moscow (UTC+3) it is 10:00.
Class activity

Choose two cities (for example Tashkent and New York) and, using a world time-zone map, find a convenient time for a phone call; write your calculation in the notebook.

Practice
1
How long is a sidereal day?
2
If the longitude difference is 45°, what is the local-time difference in hours?
3
It is 20:00 in Tashkent (UTC+5). What is the hour in UTC?
4
Why is the solar day longer than the sidereal day?