Lunar phase
In astronomy, a phase of the Moon is any of the aspects or appearances presented by the Moon as seen from Earth, determined by the portion of the Moon that is visibly illuminated by the Sun. The lunar phases vary cyclically as the Moon orbits the Earth, according to the relative positions of the Earth, the Moon, and the Sun. Since the Moon appears bright only due to the Sun's reflected light, only the half of the Moon closest to the Sun is illuminated.
Lunar phases are the result of our seeing the illuminated half of the Moon at different angles. The Moon exhibits different phases as the relative positions of the Sun, Earth and Moon change, appearing as the full moon when the Sun and Moon are on opposite sides of the Earth, and becoming invisible as the new moon (also named dark moon) when they are on the same side: these two phases are called syzygies. The time between two full moons is about 29.53 days; it is longer than the time it takes the Moon to orbit the Earth since the Earth-Moon system is orbiting the Sun. The phases are not created by the shadow of the Earth on the moon (that would be a Lunar eclipse); instead, they are a result of our seeing only part of the illuminated half of the Moon.
- Dark Moon - Not visible
- New Moon - Not visible, or traditionally: first visible crescent of the Moon
- Waxing crescent Moon - Right 1-49% visible
- First quarter Moon - Right 50% visible
- Waxing gibbous Moon - Right 51-99% visible
- Full Moon - Fully visible
- Waning gibbous Moon - Left 51-99% visible
- Third quarter Moon - Left 50% visible
- Waning crescent Moon - Left 1-49% visible
- New Moon - Not visible
In the southern hemisphere, the above is reversed. For example:
- Waxing crescent Moon - Left 1-49% visible
- Waning crescent Moon - Right 1-49% visible
When the Sun and Moon are on opposite sides of the Earth, the Moon appears full: the moon appears as a whole disc. As the Moon orbits the earth, the moon wanes, as the amount of illuminated lunar surface reduces, until the moon effectively disappears at the New Moon, when the Moon is between the Earth and the Sun and thus the illuminated half cannot be seen at all.
According to geometry, when a sphere is illuminated on one hemisphere and viewed from an angle, then the portion of the illuminated area visible from that angle will be observed to have the two-dimensional shape of a half-ellipse inscribed within a half-circle, where the major axis of the ellipse is the same as the diameter of the semicircular arc. If the half-ellipse is convex with respect to the half-circle, then the shape will be gibbous, and if the half-ellipse is concave with respect to the half-circle, then the shape will be a crescent. If the eccentricity of the ellipse is 1, then a half-circle will be seen; while if the eccentricity of the ellipse is 0, then either a fully-illuminated or fully-dark circular disk will be seen (i.e. a full moon or new moon). Of course, actual observations of the moon's lit area will not completely correspond with these abstract geometrical shapes, due to varying surface reflectivities, the lesser brightness of illuminated areas which are viewed at a low angle, etc.
The different phases of the Moon have different names. As the moon waxes (the amount of illuminated surface is growing), the moon moves through the New Moon, Crescent Moon, First-Quarter Moon, Gibbous Moon and Full Moon phases, before returning through the Gibbous Moon, Third-quarter Moon, Crescent Moon and Old Moon phases. Old Moon and New Moon are interchangeable, although New Moon is used in preference, and Half Moon is often used to mean the First- and Third-Quarter Moons.
It would seem that when the Moon comes between the Earth and the Sun (ie. at a New Moon) its shadow should fall on the Earth, causing a solar eclipse. Likewise, during a Full Moon, we might expect the Earth's shadow to be visible on the Moon — a lunar eclipse. This is, in fact, how eclipses happen, but they don't happen every Full or New Moon. This is because the plane of the Moon's orbit around the Earth is tilted by about 5 degrees with respect to the Earth's orbit around the Sun, meaning that at the New and Full Moons the Moon is usually above or below a direct line through the Earth and Sun. An eclipse can only occur when the moon is positioned at, or very nearly at, one of its nodes (or crossing points between the moon's orbital path and the ecliptic). This happens twice a year (roughly), and so there are between 4 and 7 eclipses in a calendar year. Most of these are quite insignificant; major eclipses of the Moon or Sun are rather rare and newsworthy events.
Casual observers will not typically notice a waxing crescent Moon until about 60 hours after it has passed conjunction with the Sun; but some individuals have crafted a hobby out of attempting to view the Moon after a much shorter interval than this. Informal "records" and their confirmability vary; some have claimed to have seen a Moon in as little as 12 hours after the moment of conjunction. Three factors increase the likelihood of spying a very "young" Moon: First, the angle the Moon makes with the ecliptic must be favourable for the applicable side of the Earth — the optimum scenario for this would be a new moon that falls in mid-March in the Northern Hemisphere or mid-September in the Southern Hemisphere; second, the Moon should be at or near perigee, causing it to appear to move faster (and hence draw away from the Sun sooner); and third, the new Moon must be at or near its maximum separation from the node in a favourable direction based on the hemisphere of the observer. These same principles can be applied to sight a very "old" Moon just before conjunction (with the best time of year being very early autumn for that side of the Earth), but this is far less commonly pursued.
A first-quarter Moon follows a daily path in the sky corresponding to that of the Sun after three months. Hence it comes at the highest altitude — or "runs high" — at or near the vernal equinox. Similarly, a full moon comes highest at the winter solstice, a last quarter Moon at the autumnal equinox, and a (almost) new Moon at the summer solstice (the opposite of "runs high" is "rides low" — a first-quarter moon at or near the autumnal equinox, a full moon at the summer solstice, etc.). This also means that a first-quarter Moon will not necessarily set at midnight, nor must a last-quarter Moon rise at midnight; both would do so at the equator, but north or south of this the time of rising or setting will vary by a progressively wider margin as the latitude increases; indeed, a first-quarter Moon in the late winter or early spring would remain constantly above the horizon in the polar regions (as would a last-quarter moon in the late summer or early autumn).
For an animation of how the Moon appears from Earth over the course of an orbit, see libration.
Mnemonics
In the northern hemisphere, if the left side of the moon is dark, the light part is growing, that is, the Moon is waxing (moving towards a full Moon). If the right side of the Moon is dark, the light part is shrinking: the Moon is waning (moving towards a new Moon). Simply, assuming you are in the northern hemisphere, it's always the right part of the moon that is growing. The acronym mnemonic "DOC" represents this ("D" is the waxing Moon; "O" the full moon; and "C" the waning moon). (There is also the phrase "Dog comes; Cat goes".) In the Southern hemisphere, this is reversed, and the mnemonic is "COD". Since these two mnemonics are equal and opposite, they may be easily confused; however, one can remember "DOC" since the story of the Seven Dwarves was created in the Northern Hemisphere. A French mnemonic is that the waxing moon at its first "premier" quarter phase looks like a 'p', and the waning moon at its last "dernier" quarter looks like a 'd'. The southern hemisphere equivalent for 'p' and 'd' is that the moon is 'past it', or 'doing it'. One more (Northern hemisphere) mnemonic, which works for most Romance languages, says that the Moon is a liar: it spells "C", as in crescere (Italian for "to grow") when it wanes, and "D" as in decrescere ("decrease") when it waxes. Nevertheless, to Argentines, Brazilians, and other southern speakers of Romance languages, the moon is honest. For Polish it is easy to remember that C stands for "cofa się" ("is going back") and D - for "dopełnia się" ("is filling up"). In German, one mnemonic uses the cursive forms of the capital letters A for "abnehmend" (waning) and Z for "zunehmend" (waxing). In Russia, the 'C' stands for "Стареющая" or "[a moon] becoming old", while a line is added to the waxing crescent to form 'P', which stands for "Рождающаяся" or "[a moon] getting born"
Lunar phase calculation
, where t = [UT] - [12AM, January 1, 2001], days
such that new moon=.0, first quarter=.25, full moon=.5, last quarter=.75
or a C program.
Lunar phases 2005-2020
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
Lunar phases' 2005-2020 time
Moon phases, UT
New First Quarter Full Last Quarter
------------- ------------- ------------- -------------
2005 Jan 3 17:46
Jan 10 12:03 Jan 17 06:57 Jan 25 10:32 Feb 2 07:27
Feb 8 22:28 Feb 16 00:16 Feb 24 04:54 Mar 3 17:36
Mar 10 09:10 Mar 17 19:19 Mar 25 20:59 Apr 2 01:50§
Apr 8 21:32§ Apr 16 15:37§ Apr 24 11:07§ May 1 07:24§
May 8 09:45§ May 16 09:57§ May 23 21:18§ May 30 12:47§
Jun 6 22:55§ Jun 15 02:22§ Jun 22 05:14§ Jun 28 19:23§
Jul 6 13:03§ Jul 14 16:20§ Jul 21 12:00§ Jul 28 04:19§
Aug 5 04:05§ Aug 13 03:39§ Aug 19 18:53§ Aug 26 16:18§
Sep 3 19:45§ Sep 11 12:37§ Sep 18 03:01§ Sep 25 07:41§
Oct 3 11:28§ Oct 10 20:01§ Oct 17 13:14§ Oct 25 02:17§
Nov 2 01:25 Nov 9 01:57 Nov 16 00:57 Nov 23 22:11
Dec 1 15:01 Dec 8 09:36 Dec 15 16:16 Dec 23 19:36
Dec 31 03:12
2006 Jan 6 18:56 Jan 14 09:48 Jan 22 15:14
Jan 29 14:15 Feb 5 06:29 Feb 13 04:44 Feb 21 07:17
Feb 28 00:31 Mar 6 20:16 Mar 14 23:35 Mar 22 19:10
Mar 29 11:15§ Apr 5 13:01§ Apr 13 17:40§ Apr 21 04:28§
Apr 27 20:44§ May 5 06:13§ May 13 07:51§ May 20 10:20§
May 27 06:26§ Jun 4 00:06§ Jun 11 19:03§ Jun 18 15:08§
Jun 25 17:05§ Jul 3 17:37§ Jul 11 04:02§ Jul 17 20:13§
Jul 25 05:31§ Aug 2 09:46§ Aug 9 11:54§ Aug 16 02:51§
Aug 23 20:10§ Aug 31 23:56§ Sep 7 19:42§ Sep 14 12:15§
Sep 22 12:45§ Sep 30 12:04§ Oct 7 04:13§ Oct 14 01:26§
Oct 22 06:14§ Oct 29 21:25 Nov 5 12:58 Nov 12 17:45
Nov 20 22:18 Nov 28 06:29 Dec 5 00:25 Dec 12 14:32
Dec 20 14:01 Dec 27 14:48
2007 Jan 3 13:57 Jan 11 12:45
Jan 19 04:01 Jan 25 23:01 Feb 2 05:45 Feb 10 09:51
Feb 17 16:14 Feb 24 07:56 Mar 3 23:17 Mar 12 03:54
Mar 19 02:43 Mar 25 19:16§ Apr 2 18:15§ Apr 10 19:04§
Apr 17 12:36§ Apr 24 07:36§ May 2 11:09§ May 10 05:27§
May 16 20:27§ May 23 22:03§ Jun 1 02:03§ Jun 8 12:43§
Jun 15 04:13§ Jun 22 14:15§ Jun 30 14:49§ Jul 7 17:54§
Jul 14 13:04§ Jul 22 07:29§ Jul 30 01:48§ Aug 5 22:20§
Aug 13 00:02§ Aug 21 00:54§ Aug 28 11:35§ Sep 4 03:32§
Sep 11 13:44§ Sep 19 17:48§ Sep 26 20:45§ Oct 3 11:06§
Oct 11 06:01§ Oct 19 09:33§ Oct 26 05:52§ Nov 1 21:18
Nov 9 23:03 Nov 17 22:32 Nov 24 14:30 Dec 1 12:44
Dec 9 17:40 Dec 17 10:17 Dec 24 01:16 Dec 31 07:51
2008 Jan 8 11:37 Jan 15 19:45 Jan 22 13:35 Jan 30 05:03
Feb 7 03:44 Feb 14 03:33 Feb 21 03:30 Feb 29 02:18
Mar 7 17:14 Mar 14 10:46 Mar 21 18:40 Mar 29 21:47
Apr 6 04:55§ Apr 12 19:32§ Apr 20 11:25§ Apr 28 15:12§
May 5 13:18§ May 12 04:47§ May 20 03:11§ May 28 03:56§
Jun 3 20:23§ Jun 10 16:04§ Jun 18 18:30§ Jun 26 13:10§
Jul 3 03:19§ Jul 10 05:35§ Jul 18 08:59§ Jul 25 19:41§
Aug 1 11:12§ Aug 8 21:20§ Aug 16 22:17§ Aug 24 00:50§
Aug 30 20:58§ Sep 7 15:04§ Sep 15 10:13§ Sep 22 06:04§
Sep 29 09:12§ Oct 7 10:04§ Oct 14 21:02§ Oct 21 12:55§
Oct 28 23:14 Nov 6 04:03 Nov 13 06:18 Nov 19 21:31
Nov 27 16:55 Dec 5 21:25 Dec 12 16:37 Dec 19 10:29
Dec 27 12:22
2009 Jan 4 11:56 Jan 11 03:27 Jan 18 02:46
Jan 26 07:55 Feb 2 23:13 Feb 9 14:49 Feb 16 21:37
Feb 25 01:35 Mar 4 07:46 Mar 11 02:38 Mar 18 17:47
Mar 26 16:06 Apr 2 15:34§ Apr 9 15:56§ Apr 17 14:36§
Apr 25 04:23§ May 1 21:44§ May 9 05:01§ May 17 08:26§
May 24 13:11§ May 31 04:22§ Jun 7 19:12§ Jun 15 23:14§
Jun 22 20:35§ Jun 29 12:28§ Jul 7 10:21§ Jul 15 10:53§
Jul 22 03:34§ Jul 28 23:00§ Aug 6 01:55§ Aug 13 19:55§
Aug 20 11:01§ Aug 27 12:42§ Sep 4 17:03§ Sep 12 03:16§
Sep 18 19:44§ Sep 26 05:50§ Oct 4 07:10§ Oct 11 09:56§
Oct 18 06:33§ Oct 26 00:42 Nov 2 19:14 Nov 9 15:56
Nov 16 19:14 Nov 24 21:39 Dec 2 07:30 Dec 9 00:13
Dec 16 12:02 Dec 24 17:36 Dec 31 19:13
2010 Jan 7 10:40
Jan 15 07:11 Jan 23 10:53 Jan 30 06:17 Feb 5 23:48
Feb 14 02:51 Feb 22 00:42 Feb 28 16:38 Mar 7 15:42
Mar 15 21:01 Mar 23 11:00 Mar 30 03:25§ Apr 6 10:37§
Apr 14 13:29§ Apr 21 19:20§ Apr 28 13:19§ May 6 05:15§
May 14 02:04§ May 21 00:43§ May 28 00:07§ Jun 4 23:13§
Jun 12 12:15§ Jun 19 05:29§ Jun 26 12:30§ Jul 4 15:35§
Jul 11 20:40§ Jul 18 11:10§ Jul 26 02:36§ Aug 3 05:59§
Aug 10 04:08§ Aug 16 19:14§ Aug 24 18:04§ Sep 1 18:22§
Sep 8 11:30§ Sep 15 06:50§ Sep 23 10:17§ Oct 1 04:52§
Oct 7 19:44§ Oct 14 22:27§ Oct 23 02:36§ Oct 30 13:46§
Nov 6 04:52 Nov 13 16:38 Nov 21 17:27 Nov 28 20:36
Dec 5 17:36 Dec 13 13:59 Dec 21 08:13 Dec 28 04:19
2011 Jan 4 09:03 Jan 12 11:31 Jan 19 21:21 Jan 26 12:57
Feb 3 02:31 Feb 11 07:18 Feb 18 08:35 Feb 24 23:26
Mar 4 20:46 Mar 12 23:45 Mar 19 18:10 Mar 26 12:07
Apr 3 15:32§ Apr 11 13:05§ Apr 18 03:44§ Apr 25 03:47§
May 3 07:50§ May 10 21:33§ May 17 12:09§ May 24 19:52§
Jun 1 22:02§ Jun 9 03:10§ Jun 15 21:13§ Jun 23 12:48§
Jul 1 09:54§ Jul 8 07:29§ Jul 15 07:39§ Jul 23 06:02§
Jul 30 19:40§ Aug 6 12:08§ Aug 13 19:57§ Aug 21 22:54§
Aug 29 04:04§ Sep 4 18:39§ Sep 12 10:27§ Sep 20 14:38§
Sep 27 12:09§ Oct 4 04:15§ Oct 12 03:06§ Oct 20 04:30§
Oct 26 20:56§ Nov 2 16:38 Nov 10 20:16 Nov 18 15:09
Nov 25 06:10 Dec 2 09:52 Dec 10 14:36 Dec 18 00:48
Dec 24 18:06
2012 Jan 1 06:14 Jan 9 07:30 Jan 16 09:08
Jan 23 07:39 Jan 31 04:10 Feb 7 21:54 Feb 14 17:04
Feb 21 22:35 Mar 1 01:21 Mar 8 09:39 Mar 15 01:25
Mar 22 14:37 Mar 30 20:41§ Apr 6 20:19§ Apr 13 11:50§
Apr 21 08:18§ Apr 29 10:58§ May 6 04:35§ May 12 22:47§
May 21 00:47§ May 28 21:16§ Jun 4 12:11§ Jun 11 11:41§
Jun 19 16:02§ Jun 27 04:30§ Jul 3 19:52§ Jul 11 02:48§
Jul 19 05:24§ Jul 26 09:56§ Aug 2 04:27§ Aug 9 19:55§
Aug 17 16:54§ Aug 24 14:54§ Aug 31 14:58§ Sep 8 14:15§
Sep 16 03:11§ Sep 22 20:41§ Sep 30 04:19§ Oct 8 08:33§
Oct 15 13:02§ Oct 22 04:32§ Oct 29 19:49 Nov 7 00:36
Nov 13 22:08 Nov 20 14:31 Nov 28 14:46 Dec 6 15:31
Dec 13 08:42 Dec 20 05:19 Dec 28 10:21
2013 Jan 5 03:58
Jan 11 19:43 Jan 18 23:45 Jan 27 04:38 Feb 3 13:56
Feb 10 07:20 Feb 17 20:30 Feb 25 20:26 Mar 4 21:53
Mar 11 19:51 Mar 19 17:27 Mar 27 09:27 Apr 3 05:37§
Apr 10 10:35§ Apr 18 13:31§ Apr 25 20:57§ May 2 12:14§
May 10 01:28§ May 18 05:35§ May 25 05:25§ May 31 19:58§
Jun 8 16:56§ Jun 16 18:24§ Jun 23 12:32§ Jun 30 05:53§
Jul 8 08:14§ Jul 16 04:18§ Jul 22 19:16§ Jul 29 18:43§
Aug 6 22:51§ Aug 14 11:56§ Aug 21 02:45§ Aug 28 10:35§
Sep 5 12:36§ Sep 12 18:08§ Sep 19 12:13§ Sep 27 04:55§
Oct 5 01:34§ Oct 12 00:02§ Oct 19 00:38§ Oct 26 24:40§
Nov 3 12:50 Nov 10 05:57 Nov 17 15:16 Nov 25 19:28
Dec 3 00:22 Dec 9 15:12 Dec 17 09:28 Dec 25 13:48
2014 Jan 1 11:14 Jan 8 03:39 Jan 16 04:52 Jan 24 05:19
Jan 30 21:38 Feb 6 19:22 Feb 14 23:53 Feb 22 17:15
Mar 1 08:00 Mar 8 13:27 Mar 16 17:08 Mar 24 01:46
Mar 30 19:45§ Apr 7 09:30§ Apr 15 08:42§ Apr 22 08:52§
Apr 29 07:14§ May 7 04:15§ May 14 20:16§ May 21 13:59§
May 28 19:40§ Jun 5 21:39§ Jun 13 05:11§ Jun 19 19:39§
Jun 27 09:08§ Jul 5 12:59§ Jul 12 12:25§ Jul 19 03:08§
Jul 26 23:42§ Aug 4 01:50§ Aug 10 19:09§ Aug 17 13:26§
Aug 25 15:12§ Sep 2 12:11§ Sep 9 02:38§ Sep 16 03:05§
Sep 24 07:14§ Oct 1 20:32§ Oct 8 11:50§ Oct 15 20:12§
Oct 23 22:57§ Oct 31 02:48 Nov 6 22:23 Nov 14 15:15
Nov 22 12:32 Nov 29 10:06 Dec 6 12:27 Dec 14 12:51
Dec 22 01:36 Dec 28 18:31
2015 Jan 5 04:53 Jan 13 09:46
Jan 20 13:14 Jan 27 04:48 Feb 3 23:09 Feb 12 03:50
Feb 18 23:47 Feb 25 17:14 Mar 5 18:05 Mar 13 17:48
Mar 20 09:36 Mar 27 07:42 Apr 4 13:06§ Apr 12 04:44§
Apr 18 19:57§ Apr 26 00:55§ May 4 04:42§ May 11 11:36§
May 18 05:13§ May 25 18:19§ Jun 2 17:19§ Jun 9 16:42§
Jun 16 15:05§ Jun 24 12:02§ Jul 2 03:20§ Jul 8 21:24§
Jul 16 02:24§ Jul 24 05:04§ Jul 31 11:43§ Aug 7 03:03§
Aug 14 15:53§ Aug 22 20:31§ Aug 29 19:35§ Sep 5 10:54§
Sep 13 07:41§ Sep 21 09:59§ Sep 28 03:50§ Oct 4 22:06§
Oct 13 01:06§ Oct 20 21:31§ Oct 27 12:05 Nov 3 12:24
Nov 11 17:47 Nov 19 06:27 Nov 25 22:44 Dec 3 07:40
Dec 11 10:29 Dec 18 15:14 Dec 25 11:11
2016 Jan 2 05:30
Jan 10 01:30 Jan 16 23:26 Jan 24 01:46 Feb 1 03:28
Feb 8 14:39 Feb 15 07:46 Feb 22 18:20 Mar 1 23:11
Mar 9 01:54 Mar 15 17:03 Mar 23 12:01 Mar 31 16:17§
Apr 7 12:24§ Apr 14 04:59§ Apr 22 06:24§ Apr 30 04:28§
May 6 20:29§ May 13 18:02§ May 21 22:14§ May 29 13:12§
Jun 5 04:00§ Jun 12 09:10§ Jun 20 12:02§ Jun 27 19:19§
Jul 4 12:01§ Jul 12 01:52§ Jul 19 23:57§ Jul 27 00:00§
Aug 2 21:44§ Aug 10 19:21§ Aug 18 10:27§ Aug 25 04:41§
Sep 1 10:03§ Sep 9 12:49§ Sep 16 20:05§ Sep 23 10:56§
Oct 1 01:11§ Oct 9 05:33§ Oct 16 05:23§ Oct 22 20:14§
Oct 30 17:38 Nov 7 19:51 Nov 14 13:52 Nov 21 08:33
Nov 29 12:18 Dec 7 09:03 Dec 14 00:06 Dec 21 01:56
Dec 29 06:53
2017 Jan 5 19:47 Jan 12 11:34 Jan 19 22:13
Jan 28 00:07 Feb 4 04:19 Feb 11 00:33 Feb 18 19:33
Feb 26 14:58 Mar 5 11:32 Mar 12 14:54 Mar 20 15:58
Mar 28 03:57§ Apr 3 19:39§ Apr 11 07:08§ Apr 19 10:56§
Apr 26 13:16§ May 3 03:47§ May 10 22:42§ May 19 01:33§
May 25 20:44§ Jun 1 13:42§ Jun 9 14:09§ Jun 17 12:33§
Jun 24 03:31§ Jul 1 01:51§ Jul 9 05:06§ Jul 16 20:26§
Jul 23 10:45§ Jul 30 16:23§ Aug 7 19:11§ Aug 15 02:15§
Aug 21 19:30§ Aug 29 09:13§ Sep 6 08:03§ Sep 13 07:25§
Sep 20 06:30§ Sep 28 03:53§ Oct 5 19:40§ Oct 12 13:25§
Oct 19 20:12§ Oct 27 23:22§ Nov 4 05:23 Nov 10 20:36
Nov 18 11:42 Nov 26 17:03 Dec 3 15:47 Dec 10 07:51
Dec 18 06:30 Dec 26 09:20
2018 Jan 2 02:24 Jan 8 22:25
Jan 17 02:17 Jan 24 22:20 Jan 31 13:27 Feb 7 15:54
Feb 15 21:05 Feb 23 08:09 Mar 2 00:51 Mar 9 11:20
Mar 17 13:11 Mar 24 15:35 Mar 31 13:37§ Apr 8 08:18§
Apr 16 02:57§ Apr 22 22:45§ Apr 30 01:58§ May 8 03:09§
May 15 12:48§ May 22 04:49§ May 29 15:19§ Jun 6 19:32§
Jun 13 20:43§ Jun 20 11:51§ Jun 28 05:53§ Jul 6 08:51§
Jul 13 03:48§ Jul 19 20:52§ Jul 27 21:20§ Aug 4 19:18§
Aug 11 10:58§ Aug 18 08:48§ Aug 26 12:56§ Sep 3 03:37§
Sep 9 19:01§ Sep 17 00:15§ Sep 25 03:52§ Oct 2 10:45§
Oct 9 04:47§ Oct 16 19:01§ Oct 24 17:45§ Oct 31 16:40
Nov 7 16:02 Nov 15 14:54 Nov 23 05:39 Nov 30 00:19
Dec 7 07:20 Dec 15 11:49 Dec 22 17:49 Dec 29 09:34
2019 Jan 6 01:28 Jan 14 06:45 Jan 21 05:16 Jan 27 21:10
Feb 4 21:03 Feb 12 22:26 Feb 19 15:53 Feb 26 11:28
Mar 6 16:04 Mar 14 10:27 Mar 21 01:42 Mar 28 04:10
Apr 5 09:50§ Apr 12 20:06§ Apr 19 12:12§ Apr 26 23:18§
May 4 23:45§ May 12 02:12§ May 18 22:11§ May 26 17:33§
Jun 3 11:02§ Jun 10 06:59§ Jun 17 09:30§ Jun 25 10:46§
Jul 2 20:16§ Jul 9 11:55§ Jul 16 22:38§ Jul 25 02:18§
Aug 1 04:12§ Aug 7 18:31§ Aug 15 13:29§ Aug 23 15:56§
Aug 30 11:37§ Sep 6 04:10§ Sep 14 05:32§ Sep 22 03:41§
Sep 28 19:26§ Oct 5 17:47§ Oct 13 22:08§ Oct 21 13:39§
Oct 28 03:38 Nov 4 10:23 Nov 12 13:34 Nov 19 21:11
Nov 26 15:05 Dec 4 06:58 Dec 12 05:12 Dec 19 04:57
Dec 26 05:13
2020 Jan 3 04:45 Jan 10 19:21 Jan 17 12:58
Jan 24 21:42 Feb 2 01:41 Feb 9 07:33 Feb 15 22:17
Feb 23 15:32 Mar 2 19:57 Mar 9 17:47 Mar 16 09:34
Mar 24 09:28 Apr 1 11:21§ Apr 8 03:35§ Apr 14 23:56§
Apr 23 03:25§ Apr 30 21:38§ May 7 11:45§ May 14 15:02§
May 22 18:39§ May 30 04:30§ Jun 5 20:12§ Jun 13 07:23§
Jun 21 07:41§ Jun 28 09:15§ Jul 5 05:44§ Jul 13 00:29§
Jul 20 18:33§ Jul 27 13:32§ Aug 3 16:58§ Aug 11 17:45§
Aug 19 03:41§ Aug 25 18:57§ Sep 2 06:22§ Sep 10 10:25§
Sep 17 12:00§ Sep 24 02:55§ Oct 1 22:05§ Oct 10 01:39§
Oct 16 20:31§ Oct 23 14:23§ Oct 31 14:49 Nov 8 13:46
Nov 15 05:07 Nov 22 04:45 Nov 30 09:29 Dec 8 00:36
Dec 14 16:16 Dec 21 23:41 Dec 30 03:28
Source http://www.skyviewcafe.com/skyview.php
Patent
- U.S. patent 508,467 - Moon dial for clocks - Clark - Nov., 1893
- U.S. patent 4,711,583 - Astronomical wrist-watch - Oechslin - Dec., 1987
- U.S. patent 5,245,590 - Display of changing moon on watch face - Galison - Sept., 1993