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Maria:
North: 1- Mare Frigoris (Sea of
Cold) 2- Mare Imbrium (Sea of
Rains) 3- Sinus Aestuum (Bay of Seething)
Northeast: 4- Sinus Medii (Bay of the
Center) 5- Mare Vaporum (Sea of
Vapors) 6- Mare Serenitatis (Sea of
Serenity) 7- Mare Tranquillitatis (Sea of
Tranquillity) 8- Mare Crisium (Sea of Crises) 17-
Lacus Somniorum (Lake of Sleep) 18- Palus Somnii (Marsh of
Sleep) 19- Mare Anguis (Sea of Snakes) 20- Mare Undarum (Sea
of Waves)
Southeast: 9- Mare Fecunditatis (Sea of
Fecundity) 10- Mare Nectaris (Sea of Nectar) 21- Mare Spumans
(Sea of Foam)
Southwest: 11- Mare Nubium (Sea of Clouds) 12- Mare
Humorum (Sea of Moisture) 13- Mare Cognitum (Known Sea) 22-
Palus Epidemiarum (Marsh of Diseases)
West: 14- Oceanus Procellarum (Ocean of Storms)
Northwest: 15- Sinus Roris (Bay of Dew) 16- Sinus
Iridum (Bay of Rainbows)
Montes (Mountains):
Northeast: 23- Montes Alpes 24-
Vallis Alpes (Alpine Valley) 25- Montes Caucasus 26- Montes
Apenninus 27- Montes Haemus 28- Montes Taurus
Southeast: 29- Montes Pyrenaeus
Southwest: 30- Rupes Recta (Straight Wall) [Geological
Fault] 31- Montes Riphaeus
Northwest: 32- Vallis Schröteri (Schröter's Valley)
[Northwest of Crater Aristarchus, 73, and North of Crater
Herodotus] 33- Montes Jura
Craters:
Northeast: 34- Crater Aristotle [on the
East part of Mare Frigoris, 1] 35- Crater Cassini 36- Crater
Eudoxus 37- Crater Endymion 38- Crater Hercules 39-
Crater Atlas 40- Crater Mercurius 41- Crater
Posidonius 42- Crater Zeno 43- Crater Le Monnier 44-
Crater Plinius 45- Crater Vitruvius 46- Cráter
Cleomedes 47- Crater Taruntius 48- Crater
Manilius 49- Crater Archimedes 50- Crater
Autolycus 51- Crater Aristillus
Southeast: 52- Crater Langrenus 53- Crater
Goclenius 54- Crater Hypatia 55- Crater
Theophilus 56- Crater Rhaeticus [Crater Hipparchus is directly South of
Crater Rhaeticus] 57- Crater Stevinus 58- Crater
Ptolemaeus 59- Crater Walter
Southwest: 60- Crater Tycho 61- Crater
Pitatus 62- Crater Schickard 63- Crater Campanus 64-
Crater Bulliadus 65- Crater Fra Mauro 66- Crater
Gassendi 67- Crater Byrgius 68- Crater Billy [Mons Hansteen is
to the North of Crater Billy] 69- Crater Crüger 70- Crater
Grimaldi 71- Crater Riccioli
Northwest: 72- Crater Kepler 73- Crater Aristarchus
[Crater Herodotus is West of Crater Aristarchus] 74- Crater
Copernicus 75- Crater Pytheas 76- Crater Eratosthenes [near
the Southwestern extreme of Montes Apenninus, 26] 77- Crater
Mairan 78- Crater Timocharis 79- Crater Harpalus [Crater
Pythagoras is North of Crater Harpalus] 80- Crater Plato
This Moon map was provied by Observatorio ARVAL - Caracas, Venezuela. at http://www.oarval.org/MoonMapen.htm
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Astronomical Bases of Calendars
The principal astronomical cycles are the day (based on the
rotation of the Earth on its axis), the year (based on the
revolution of the Earth around the Sun), and the month (based on
the revolution of the Moon around the Earth). The complexity of
calendars arises because these cycles of revolution do not comprise
an integral number of days, and because astronomical cycles are
neither constant nor perfectly commensurable with each other.
The tropical year is defined as the mean interval
between vernal equinoxes; it corresponds to the cycle of the
seasons. The following expression, based on the orbital elements of
Laskar (1986), is used for calculating the length of the tropical
year:
365.2421896698 - 0.00000615359 T - 7.29E-10 T^2 + 2.64E-10 T^3
[days]
where T = (JD - 2451545.0)/36525 and JD is the Julian day number.
However, the interval from a particular vernal equinox to the next
may vary from this mean by several minutes.
The synodic month, the mean interval between
conjunctions of the Moon and Sun, corresponds to the cycle of lunar
phases. The following expression for the synodic month is based on
the lunar theory of Chapront-Touze' and Chapront (1988):
29.5305888531 + 0.00000021621 T - 3.64E-10 T^2 [days].
Again T = (JD - 2451545.0)/36525 and JD is the Julian day number.
Any particular phase cycle may vary from the mean by up to seven
hours.
In the preceding formulas, T is measured in Julian centuries of
Terrestrial Dynamical Time (TDT), which is independent of the
variable rotation of the Earth. Thus, the lengths of the tropical
year and synodic month are here defined in days of 86400 seconds of
International Atomic Time (TAI).
From these formulas we see that the cycles change slowly with
time. Furthermore, the formulas should not be considered to be
absolute facts; they are the best approximations possible today.
Therefore, a calendar year of an integral number of days cannot be
perfectly synchronized to the tropical year. Approximate
synchronization of calendar months with the lunar phases requires a
complex sequence of months of 29 and 30 days. For convenience it is
common to speak of a lunar year of twelve synodic months, or
354.36707 days.
Three distinct types of calendars have resulted from this
situation. A solar calendar, of which the Gregorian
calendar in its civil usage is an example, is designed to maintain
synchrony with the tropical year. To do so, days are intercalated
(forming leap years) to increase the average length of the calendar
year. A lunar calendar, such as the Islamic calendar,
follows the lunar phase cycle without regard for the tropical year.
Thus the months of the Islamic calendar systematically shift with
respect to the months of the Gregorian calendar. The third type of
calendar, the lunisolar calendar, has a sequence of months
based on the lunar phase cycle; but every few years a whole month
is intercalated to bring the calendar back in phase with the
tropical year. The Hebrew and Chinese calendars are examples of
this type of calendar.
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