CALENDRICS 2

 

              CALENDARS
Sumerian- 1st lunar calendar 12 months 30 days, 12 danna 30 ges
Babylonian- took the lunar calendar from the Sumerians- 19 year lunar calendar. First to have 12 hour, 60 minute, 60 second time system, because that was what they had.
Egyptian- 365 days of 12 months, 30 days each but 12th month has 35 days- 6 hours too short; off 1 day every 4 years. Thoth arrangement- day has 10 hours, hour has 100 minutes, minute has 100 seconds.
Mayan- used all three astronomical cycles- daily rotation of earth, lunar month, and solar year. Precise calendar with gods.
Jewish- 12 moon cycles with intercalary months on 19 year cycle (3,6,8,11,14,17,19) off 1 day in 200 years
Moslem- purely lunar calendar- 12 months; 6 months with 29 days and 6 months with 30 days- off 11 days a year
Moses- 52 weeks of 7 days, then 1 or 2 days
Chaldean- 365 days of 12 months; 30 days each and 5 days at end of year
. . . . . .Chaldean arrangement- day has 24 hours, hour has 60 minutes + minute has 60 seconds
Julian- 365 days of 12 months(our length months), leap year every 4 years=365 days + 6 hours- off 1 day every 128 years
Gregorian- like Julian, but no leap years in centuries not divisible by 400- off 1 day every 3323 years
World Calendar- divided year into quaters, each of 91 days, each quater into 3 months of 31, 30 + 30 days, each quater has 13 weeks = 364 days so extra day added to December called Worldsday. And in leap years "leap-year day" added to June.
International Fixed Calendar- 13 months with 28 days each Sol between June and July + like World Calendar.

 Second- 1/86,400 of a day
Ephemeris Second- 1/31,556,925.9747 of a tropical year
Atomic Second- oscillations of cesium atom= 9,192,631,770
Sidereal Day- 23H 56M 4.09S
Lunar Month- 29.53059 days
Lunar Months in a Solar Year- 12.36827
Sidereal Month (time moon around earth)- 27D 7H 43M 11.5S
Synodical Month (new moon to new moon)- 29D 12H 44M 3S = 29.53059D
Tropical Year- 365D 5H 48M 46.43S = 365.2422D
Sidereal Year- 365D 6H 9M 9.5S = 365.2564D
Solar Year- 365.2422 days
Obliquity of the Ecliptic (angle of ecliptic and Celestial Equator)- 23 degrees 27'
Tropics- 23 degrees 27' (Ant)Arctic- 66 degrees 30'
Canonical Hours: Catholic- prime(one)=6AM, tierce(three)=9AM, sext(six)=Noon, none(nine)=3PM
Saros Period (eclipses repeat)- 18 years 11 1/3 days
Metonic Cycle (aligning Lunar calendar to Saros period)
Sothic Cycle (Sirius's heliacal rising period)- 1461 years
Julian Cycle (Lunar months, Saros period, etc align)- 7980 years
Precession of the Equinoxes- 25,800 years
Julian Day/Astronomical Day= # of days since Julian cycle started
1 year = 365 days = 8760 hours = 525,600 minutes = 31,536,000 seconds
360 degrees/24 hours=15 degrees/1 hour=1 degree/4 minutes
Names of months are Roman gods
Names of days are Teutonic deities (Norse gods)- Moon, Tiw, Woden, Thor, Fria, Saturn-Roman, Sun
"PZT"= Photographic Zenith Tube- can determine spinning of the earth to 1 second
Master Clock- vibrations of cesium atoms / 24 hours by PZT sightings- atomic clocks
Universal Time (UTO) is the equivalent to mean solar time at Greenwich Meridian
Universal Coordinate Time (UTC) is the average of several atomic time scales
The equation of time equals the difference between apparent and mean time.
The whole world has the same day when the international date line is at midnight.
June 21- summer solstice- longer days
December 21- winter solstice- shorter days
September 23- autumnal equinox
March 20- vernal equinox- night and day equal
Time zones- Pacific Standard, Mountain Standard, Central Standard, + Eastern Standard


 

 

 

Astronomical Data on the Moon

The Moon moves around the Earth in an elliptical orbit of small eccentricity, inclined by 5ยบ 8' 43.4" to the plane in which the Earth revolves around the Sun. Its distance from the Earth varies between 356,000 and 407,000 km (221,000 and 253,000 miles) in the course of each month; the average distance is 384,400 km (238,900 miles), less than 1% of the distance to Venus and Mars, even at the time of their closest approach. The lunar globe appears in the sky as a disc of a little over half a degree (31' 5.2") in apparent diameter.

The period in which the Moon completes an orbit around the Earth and returns to the same position in the sky - the sidereal month - is 27 days, 7 hours, 43 minutes, and 11.6 seconds. Because the Earth is moving in its orbit around the Sun in the same direction as the Moon, the time needed to return to the same phase - the synodic month - is longer: 29 days, 12 hours, 44 minutes, and 2.8 seconds. This period is the time interval that, for example, elapses between two successive full moons, a period that was known within a second even in ancient times. The Moon's average velocity is 1.023 km/sec (0.635 miles/sec), corresponding to a mean angular velocity in the sky of about 33 minutes of arc per hour, a little greater than the apparent diameter of the Moon.

In addition to its motion through space, the Moon also rotates about its axis in a period of one sidereal month, so that it keeps approximately the same side toward the Earth at all times. Nonuniformities in its orbital motion, however, together with the inclination of the orbit to the ecliptic, cause "optical librations" that allow 59% of the entire lunar surface to be seen from the Earth at one time or another. The remaining 41% was hidden until the Soviet LUNA 3 spacecraft photographed the far side in October 1959 CE. It has since been thoroughly mapped.

The moon was full on NS June 24, 1994 CE at 6:33 A.M.

Dominical Letter

The Dominical Letter is a representation of how many days into the new year the first Sunday will fall:

A (0 days, January 1 falls on Sunday),

B (1 day, January 1 falls on Saturday),

C (2 days, January 1 falls on Friday),

D (3 days, January 1 falls on Thursday),

E (4 days, January 1 falls on Wednesday),

F (5 days, January 1 falls on Tuesday), and

G (6 days, January 1 falls on Monday).

In leap years, a dual Dominical Letter is shown (e.g. B/A) to indicate the Dominical Letter before as well as after the leap day. The cycle repeats every 400 years.

Year of Century

 

1600

1700

1800

1900

2000

0

 

 

 

 

B/A

C

E

G

B/A

1

29

57

85

 

G

B

D

F

G

2

30

58

86

 

F

A

C

E

F

3

31

59

87

 

E

G

B

D

E

4

32

60

88

 

D/C

F/E

A/G

C/B

D/C

5

33

61

89

 

B

D

F

A

B

6

34

62

90

 

A

C

E

G

A

7

35

63

91

 

G

MATERIAL FOR BA PART 1 PAPER 3

MATERIAL FOR BA PART 2 PAPER 4