• Publications of The Korean Astronomical Society
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• v.25 no.4
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• pp.119-128
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• 2010

Gaecheonjeol is the National Foundation day of Korea when people hold a harvest ceremony. Nowadays, two representative harvest ceremonies of Korea are performed at Mt. Mari (摩利山) and Mt. Taebaek (太白山) on Gaecheonjeol (October 3rd). We study 28 flags with constellations appearing in the ceremony of Mt. Taebaek. These flags are lying in the outer of the circular stone wall during the ceremony. They represent an oriental heavenly star chart. We examine the shape, the connecting-pattern, the name, and the number of constellations drawn in the flags, and find several errors, such as, a wrong position, a typo of name, an irregular size, an omission, and so forth. Traditionally, the 28 oriental constellations are usually divided into four groups and each group has its own colour for each direction: Blue (E), Black (N), White (W), and Red (S). For the constellation flags in Mt. Taebaek, the colour of the flags is painted based on geographical directions, but the constellations are arranged followed by the direction of the celestial sphere. Thus, constellations in the northern and southern parts are counterchanged. Finally, we suggest some possible criteria for constellation map of the flags in this paper. CheonSangYeolChaBunYaJiDo (天象列次分野之圖) and CheonMunRyuCho (天文類抄) can be essential references for correcting constellations drawn in the flags of Mt. Taebaek.

• Bulletin of the Korean Mathematical Society
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• v.61 no.2
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• pp.519-527
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• 2024

For a finite subgroup G of GL_n(ℂ), the moduli space 𝓜_𝜃 of 𝜃-stable G-constellations is rarely smooth. This note shows that for a group G of type ${\frac{1}{r}}(1,a,b)$ with r = abc + a + b, there is a generic stability parameter 𝜃 ∈ Θ such that the birational component Y_𝜃 of 𝜃-stable G-constellations provides a resolution of the quotient singularity X := ℂ³/G.

• Publications of The Korean Astronomical Society
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• v.31 no.3
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• pp.65-76
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• 2016

We study a manuscript that includes 28 oriental constellations in the flags of barracks in Gangjin. According to the Joseon Chronicles, the constellation flags in the manuscript are thought to have originated from Seon-Pil Kim (金善弼) who first made 28 constellation flags for the barracks in 1878 during the Joseon Dynasty. Seon-Pil Kim was a commander and he used the 28 constellation flags for communications in a military camp. The flags also contain 28 animals and letter-like symbols with constellation maps. We examine the constellation maps in flags in terms of shapes and number of stars, and compare them with those of constellations in the Korean and Chinese star charts such as CheonSangYeolChaBunYaJiDo (天象列次分野之圖), Joseon-Butienge (朝鮮步天歌), Suzhou (蘇州) Star Chart, and Tang-Butiange (唐步天歌). Finally, we found that the shape of constellations in the flags might be similar to those in the Chinese Tang-Butienge. We also found several errors such as the shape, connecting pattern, and number of constellations drawn in the flags. It seems that the constellation flags were unofficially used in military camps in the late Joseon dynasty. Meanwhile, the 28 constellations are divided into four groups and each group has its own color and direction. We suppose that the constellation flags might represent the positions of military camps and each group of flags has their own color based on their cardinal points.

• The Bulletin of The Korean Astronomical Society
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• v.37 no.2
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• pp.95-95
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• 2012

Constellations are formed of bright stars which appear close to each other on the sky, but are really far apart in space. The shapes you see all depend on your point of view. Back before people had televisions and electricity to light their homes at night, they spent a lot more time looking at the stars. People all over the world used their imaginations to draw pictures in the sky, as if it were a giant connect-the-dot game. The patterns they imagined are called constellations. People usually saw patterns that reflected their different cultures. Native Americans in North America imagined many animals and shapes from the natural world. The ancient Greeks found images of gods and goddesses in the stars. Sometimes people from very different parts of the world even imagined the same animal or shape in the same stars. Most of the constellations we recognize today were made up by the ancient Greeks around 6,000 years ago. Different constellations are visible at different times of year, so the first appearance of these patterns told farmers of the changing seasons and reminded them to plant or harvest their crops. The constellations also help us to find our way around the night sky and to remember which stars are which. The star names we use today are mostly from Greek and Arabic, but many are changed a bit from the original, as often happens when words are passed from one language to another. It can be difficult to picture just what those folks long ago were seeing in the stars, so don't be discouraged if you have trouble seeing their patterns. You can even make up your own! In ancient world all the countries or regions had their own way to name things up in the sky, make up stories and draw different shapes for constellations. Today there are 88 official constellations, but you may find that different books show their stars connected in slightly different ways. The official constellations are specific regions of the sky, so the exact patterns are not all that important. However in various cultures there are some famous star patterns that use stars from only apart of a constellation, or even connect stars from different constellations. These patterns of stars that are not official constellations are called asterisms. The Big Dipper is a very famous asterism, found in the constellation Ursa Major, or Great Bear.

• Journal of Broadcast Engineering
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• v.16 no.4
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• pp.680-683
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• 2011

In this paper, symbol error probability (SEP) of typical 3-dimensional (3-D) signal constellations in Rayleigh fading channel is derived. Simulation confirms that average SEP of the constellations is very accurate. Thus, the theoretical SEP derived can be exploited as a performance reference for future development of wireless communication systems with 3-D constellations.

• Journal of Communications and Networks
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• v.4 no.2
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• pp.90-96
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• 2002

We present a family of constant-amplitude constellations of even dimensions 8 and above. These constellations allow trellis coded modulation to be implemented without the usual penalty paid for constellation expansion. The new constellations are generated by concatenating either n QPSK points or n QPSK points rotated by 45 degrees, for any n $\geq$ 4. Our constellations double the number of points available for transmission without decreasing the distance between points and without increasing the average or peak energies, introducing asymmetry, or increasing the modulation level. Effective gains of 2.65 dB with minimum complexity through 6.42 dB with moderate complexity are demonstrated using the 8D constellation.

• The Bulletin of The Korean Astronomical Society
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• v.44 no.2
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• pp.61.1-61.1
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• 2019

We report about the constellations discovered in Ara-Gaya Malisan tomb 13 of late 5th century. In December 2018, constellation-shaped grooves were newly found on the ceiling of the tomb 13 of the Ara-Gaya (42-532 CE.) polity in Haman(咸安). The tomb 13 is located at the top/center of the Malisan and is one of the largest burial mounds. Grooves were found in one of the slabs of the grave cover-stone (160 ∗ 80~60cm). The total number of grooves are 134 and each groove has a diameter of 1.5~4.0 cm. The grooves were made by pecking or grinding. From the preliminary study, we identified these grooves with traditional constellations such as 房, 心, 尾, 箕, 斗, which correspond to Scorpius and Sagittarius of modern constellations near the Milky Way. It shows that advanced astronomy also existed in Ara-Gaya tomb while star charts were painted in Goguryeo tombs. This carries great importance in studying the development and exchange of astronomy in the Korean Peninsula.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.20 no.4
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• pp.715-720
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• 2016

In this paper, a method to design 3-dimensional (3-D) cross-lattice signal constellations with increased compactness is presented and analyzed. Here, the symbols located at the outermost sides in the conventional lattice constellation are moved symmetrically to fill in empty sides and sunken corners. While the minimum Euclidean distance (MED) among adjacent symbols remains unchanged, the presented cross-lattice constellations have 3~5% reduced average power and upto 25% reduced total volume as compared with the conventional ones. Due to the increase compactness, average power of the new 3-D constellations is lower than that of the conventional ones. As a result, computer simulation verifies that the presented cross-lattice constellations can improve symbol error performance of a digital transmission system about 0.4 [dB]. Hence, the proposed 3-D cross-lattice constellations are appropriate for low-power and high-quality digital communication systems.

• Journal of Korean Medical classics
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• v.19 no.2 s.33
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• pp.74-95
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• 2006

${\ulcorner}$Hwangje-Naegyeong${\lrcorner}$ recorded The Twenty Eight Constellations(二十八宿), the polaris, the Seven stars(北斗七星) and the Five stars(五星) and it accepted the astronomy of that time. The Twenty Eight Constellations assinged seven stars in the four cardinal points according to the ecliptic and became the criterion obsevering the way of the sun and the moon. ${\ulcorner}$Hwangje-Naegyeong${\lrcorner}$ explained that The Twenty Eight Constellations bring about the change of weather and role as criterion about the Universe Gate-Earth Door(天門-地戶). The Five Elementary attachment of the Twenty Eight Constellations is based on the direction of the earth in spring. The direction of the Twenty Eight Constellations changes from the viewpoint of celestial body in other seasons. ${\ulcorner}$Gugungpalpung-pyeon(九宮八風篇)${\lrcorner}$ and ${\ulcorner}$Selo-pyeon(歲露論)${\lrcorner}$ explained that the azimuth of the polaris and the Seven stars are related to the change of weather. ${\ulcorner}$Gigyobyeondaelon(氣交變大論)${\lrcorner}$ said that we can predict the Taegwa(太過 or Bulgeub(不及) of O-un(五運) by the orbital tracks and magnitude of the Five stars. It means that the astronomical observation is correctly performed in that time. The learning of Un-Gi(運氣學) is the study on the reciprocal action of heaven and earth. Besides the changeable disease during the 24 solar terms is related to climatic change produced by movements of heavenly bodies. For this reason, I think that the understanding of astronomical background will help to research The learning of Un-Gi.

• Journal of Astronomy and Space Sciences
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• v.26 no.3
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• pp.375-402
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• 2009

Korean historical constellations and their names are similar to Chinese ones. Although Korean historical astronomy is influenced by China, they have distinct differences in each shape and names of the constellations. We, therefore, compare Bocheonga (步天歌) of the early Joseon dynasty (朝鮮, $1392{\sim}1910$) preserved in Gyujanggark (奎章閣) with that of the Sui dynasty ((隋代, $581{\sim}618$ of China written by Wang Ximing(王希明) in terms of star charts and descriptions of the contents. We find out that the two books are partly different all over the books. First, there are definite differences in preface, three area of constellations (三垣) in the heaven, and the description of the Milky Way. Second, some of constellations show different in shape, the number of stars. Especially connecting pattern in some constellations shows different in each other. Third, Joseon Bocheonga describes their colors for some stars. These mean that Joseon has a unique tradition of star maps unlike Chinese one. We also summarize the differences and distinctive characteristics of Joseon star charts compared with Chinese ones.