"angle across to make a right angle with one side, the right angle triangle's hypotenuse is length one and the sides are of length and . From this the trigonometric function tangent of 60° equals , and the sine of 60° and the cosine of 30° both equal . The square root of 3 also appears in algebraic expressions for various other trigonometric constants, including the sines of 3°, 12°, 15°, 21°, 24°, 33°, 39°, 48°, 51°, 57°, 66°, 69°, 75°, 78°, 84°, and 87°. It is the distance between parallel sides of a regular hexagon with sides of length"
"NGC 925 NGC 925 is a barred spiral galaxy located about 30 million light-years away in the constellation Triangulum. The morphological classification of this galaxy is SB(s)d, indicating that it has a bar structure and loosely wound spiral arms with no ring. The spiral arm to the south is stronger than the northern arm, with the latter appearing flocculent and less coherent. The bar is offset from the center of the galaxy and is the site of star formation all along its length. Both of these morphological traits—a dominant spiral arm and the offset bar—are typically characteristics of a Magellanic"
"925 Alphonsina 925 Alphonsina, provisional designation , is a stony Hansian asteroid from the central region of the asteroid belt, approximately in diameter. It was discovered on 13 January 1920, by Catalan astronomer Josep Comas i Solà at the Fabra Observatory in Barcelona, Spain. The S-type asteroid has a rotation period of 7.88 hours. It was named for the Spanish Kings Alfonso X and Alfonso XIII. Together with asteroid 480 Hansa, ""Alphonsina"" is the largest member of the stony Hansa family (), a high-inclination family with more than a thousand known members. It orbits the Sun in the intermediate asteroid"
"spiral galaxy. The galaxy is inclined at an angle of 55° to the line of sight along a position angle of 102°. The galaxy is a member of the NGC 1023 Group, a nearby, gravitationally-bound group of galaxies associated with NGC 1023. However, the nearest member lies at least distant from NGC 925. There is a 10 million solar mass () cloud of neutral hydrogen attached to NGC 925 by a streamer. It is uncertain whether this is a satellite dwarf galaxy, the remnant of a past tidal interaction, or a cloud of primordial gas. NGC 925 NGC 925 is"
"(78799) 2002 XW93 , provisional designation , is a trans-Neptunian object and centaur from the outer Solar System, approximately in diameter. It was discovered on 10 December 2002, by astronomers at the Palomar Observatory in California. According to American astronomer Michael Brown, the minor planet is a likely dwarf planet. orbits the Sun at a distance of 27.9–46.8 AU once every 228 years and 4 months (83,410 days; semi-major axis of 37.36 AU). Its orbit has an eccentricity of 0.25 and an inclination of 14° with respect to the ecliptic. The body's observation arc begins with a precovery published by"
"8900 AAVSO 8900 AAVSO, provisional designation """", is a stony background asteroid from the central region of the asteroid belt, approximately 5.5 kilometers in diameter. It was discovered by American amateur astronomer Dennis di Cicco at the U.S Sudbury Observatory , Massachusetts, on 24 October 1995. The asteroid was named after the American Association of Variable Star Observers (AAVSO). ""AAVSO"" is a non-family asteroid from the main belt's background population. It orbits the Sun in the central main-belt at a distance of 2.2–2.9 AU once every 4.04 years (1,475 days). Its orbit has an eccentricity of 0.15 and an inclination"
"950 Ahrensa 950 Ahrensa, provisional designation , is a stony Phocaea asteroid and slow rotator from the inner regions of the asteroid belt, approximately 15 kilometers in diameter. It was discovered on 1 April 1921, by German astronomer Karl Reinmuth at Heidelberg Observatory in southern Germany. The S-type asteroid, classified as a Sa-subtype in the SMASS taxonomic scheme, is a member of the Phocaea family, a group of asteroids with similar orbital characteristics. It orbits the Sun at a distance of 2.0–2.7 AU once every 3 years and 8 months (1,334 days). Its orbit shows an eccentricity of 0.16 and"
"Gliese 809 Gliese 809 is a red dwarf star in the constellation Cepheus, forming the primary component of a multi-star system. A visual magnitude of 8.55 makes it too faint to see with the naked eye. It is part of the Gliese Catalogue of Nearby Stars and is located about 23 light-years (ly) from the Solar System. Gliese 809 has about 70.5% the radius of the Sun and 61.4% of the Sun's mass. It has a metallicity of −0.06, which means that the abundance of elements other than hydrogen and helium is just 87.1% that of the Sun. This is"
"105 ± 1 light-years distant from Earth. Its component stars orbit each other every 37 years. The primary star is around 12 billion years old and has cooled and expanded to 2.53 times the diameter of the Sun, while having only 91% of its mass. LP 944-20 is a brown dwarf of spectral type M9 that has around 7% the mass of the Sun. Approximately 21 light-years distant from Earth, it is a faint object with an apparent magnitude of 18.69. Observations published in 2007 showed that the atmosphere of LP 944-20 contains much lithium and that it has dusty"
"944 Hidalgo 944 Hidalgo ( ), provisional designation , is a centaur and unusual object on an eccentric, cometary-like orbit between the asteroid belt and the outer Solar System, approximately in diameter. Discovered by German astronomer Walter Baade in 1920, it is the first member of the dynamical class of centaurs ever to be discovered. The dark D-type object has a rotation period of 10.1 hours and likely an elongated shape. It was named after Mexican revolutionary Miguel Hidalgo y Costilla. ""Hidalgo"" was discovered by German astronomer Walter Baade on 31 October 1920 at Bergedorf Observatory in Hamburg, Germany. It"
"911 Agamemnon 911 Agamemnon ( ), provisional designation """", is a large Jupiter trojan and a suspected binary asteroid from the Greek camp, approximately in diameter. It was discovered on 19 March 1919, by German astronomer Karl Reinmuth at the Heidelberg Observatory in southwest Germany. The dark D-type asteroid is one of the largest Jupiter trojans and has a rotation period of 6.6 hours. It is named after the Greek King Agamemnon, a main character of the ""Iliad"". ""Agamemnon"" is a dark Jovian asteroid orbiting in the Greek camp at Jupiter's leading Lagrangian point, 60° ahead of the Gas Giant's"
"Sidney van der Bergh in 1959 and put in the DDO catalogue. DDO 190 DDO 190 (or UGC 9240) is a dwarf irregular galaxy in the vicinity of the Milky Way, as it is relatively small and lacks clear structure. It is away from Earth and lies out of the Local Group, determined by the tip of the red giant branch method. The outskirts of the galaxy are harbouring older (reddish) stars, while the centre is crowded with younger (bluish) stars. Heated gas is observed at several places. DDO 190 still experiences some active star formation. The galaxy is categorised"
"9969 Braille 9969 Braille, provisional designation , is an eccentric, rare-type and elongated asteroid from the innermost regions of the asteroid belt, classified as Mars-crosser and slow rotator, approximately 1–2 kilometers in diameter. It was discovered in 1992, by astronomers at Palomar observatory and later named after Louis Braille, the inventor of the writing system for the blind. It was photographed in closeup by the spacecraft Deep Space 1 in 1999, but a malfunction resulted in indistinct images. Discovered on May 27, 1992, by E. F. Helin and K. J. Lawrence working at the Palomar observatory as part of NASA's"
"(418993) 2009 MS9 , provisionally known as , is a centaur roughly 30–60 km in diameter. It has a highly inclined orbit and a barycentric semi-major axis (average distance from the Sun) of ~353 AU. It came to perihelion in February 2013 at a distance of 11 AU from the Sun (outside the orbit of Saturn). , it is 12 AU from the Sun. It will not be 50 AU from the Sun until 2047. After leaving the planetary region of the Solar System, will have a barycentric aphelion of 696 AU with an orbital period of 6640 years. In"
"named in honor of friends of the discoverer Karl Reinmuth, the Ahrens family, who helped him financially at the Heidelberg Observatory. Reinmuth also named the minor planet 909 Ulla after Ulla Ahrens, a member of this family. 950 Ahrensa 950 Ahrensa, provisional designation , is a stony Phocaea asteroid and slow rotator from the inner regions of the asteroid belt, approximately 15 kilometers in diameter. It was discovered on 1 April 1921, by German astronomer Karl Reinmuth at Heidelberg Observatory in southern Germany. The S-type asteroid, classified as a Sa-subtype in the SMASS taxonomic scheme, is a member of the"
"909 Ulla 909 Ulla, provisional designation """", is an asteroid from the outermost regions of the asteroid belt, approximately in diameter. It is the namesake of the Ulla family which belongs to the larger group of Cybele asteroids. It was discovered on 7 February 1919, by German astronomer Karl Reinmuth at the Heidelberg Observatory in southwest Germany. The X-type asteroid has a rotation period of 8.7 hours. It was named after Ulla Ahrens, daughter of a friend of the discoverer. ""Ulla"" is the parent body of the Ulla family, a very small asteroid family of less than 30 known bodies."
"1009 Sirene Sirene (minor planet designation: 1009 Sirene), provisional designation , is an eccentric asteroid and sizable Mars-crosser from the central regions of the asteroid belt, approximately 5 kilometers in diameter. It was discovered by German astronomer Karl Reinmuth at the Heidelberg-Königstuhl State Observatory on 31 October 1923. The asteroid was named after the Siren from Greek mythology. ""Sirene"" is a Mars-crossing asteroid with a notably large semi-major axis is 2.62 AU, due to its high eccentricity of 0.46. It orbits the Sun in the central main-belt at a distance of 1.4–3.8 AU once every 4 years and 3 months"
"DDO 190 DDO 190 (or UGC 9240) is a dwarf irregular galaxy in the vicinity of the Milky Way, as it is relatively small and lacks clear structure. It is away from Earth and lies out of the Local Group, determined by the tip of the red giant branch method. The outskirts of the galaxy are harbouring older (reddish) stars, while the centre is crowded with younger (bluish) stars. Heated gas is observed at several places. DDO 190 still experiences some active star formation. The galaxy is categorised as a Magellanic dwarf galaxy of morphological type Im. Its metallicity is"
"8967 Calandra 8967 Calandra, provisional designation """", is a carbonaceous background asteroid from the outer region of the asteroid belt, approximately 9 kilometers in diameter. It was discovered on 13 May 1971, by Dutch astronomer couple Ingrid and Cornelis van Houten at Leiden Observatory, on photographic plates taken by Dutch–American astronomer Tom Gehrels at the Palomar Observatory in California. It is named after the corn bunting ""(Emberiza calandra)"". ""Calandra"" is a non-family asteroid from the main belt's background population. It orbits the Sun in the outer main-belt at a distance of 2.7–3.4 AU once every 5 years and 4 months"
"9963 Sandage 9963 Sandage, provisional designation , is a stony Phocaea asteroid from the inner regions of the asteroid belt, approximately 6 kilometers in diameter. It was discovered by American astronomer Eleanor Helin at the Palomar Observatory in California on 9 January 1992, and later named after American astronomer Allan Sandage. ""Sandage"" is a stony member of the Phocaea family (), a group of asteroids with similar orbital characteristics. It orbits the Sun in the inner main-belt at a distance of 1.7–3.0 AU once every 3 years and 7 months (1,308 days). Its orbit has an eccentricity of 0.28 and"
"8991 Solidarity 8991 Solidarity, provisional designation , is a carbonaceous asteroid from the middle region of the asteroid belt, approximately 10 kilometers in diameter. It was discovered on 6 August 1980, by observers at ESO's La Silla Observatory site in northern Chile. The asteroid was named in response to the September 11 attacks. ""Solidarity"" orbits the Sun in the central main-belt at a distance of 2.3–3.3 AU once every 4 years and 8 months (1,700 days). Its orbit has an eccentricity of 0.18 and an inclination of 7° with respect to the ecliptic. The first used observation was made at"
"a 10 million year integration of the orbit, the nominal (best-fit) orbit and both 3-sigma clones remain outside 8.3AU (""q"") from the Sun. (418993) 2009 MS9 , provisionally known as , is a centaur roughly 30–60 km in diameter. It has a highly inclined orbit and a barycentric semi-major axis (average distance from the Sun) of ~353 AU. It came to perihelion in February 2013 at a distance of 11 AU from the Sun (outside the orbit of Saturn). , it is 12 AU from the Sun. It will not be 50 AU from the Sun until 2047. After leaving"
"(10115) 1992 SK , is an eccentric stony asteroid, classified as near-Earth object and potentially hazardous asteroid. It belongs to the group of Apollo asteroids and measures approximately 1 kilometer in diameter. It was discovered by American astronomers Eleanor Helin and Jeff Alu at the U.S. Palomar Observatory, California, on 24 September 1992. The asteroid orbits the Sun at a distance of 0.8–1.7 AU once every 17 months (509 days). Its orbit has an eccentricity of 0.32 and an inclination of 15° with respect to the ecliptic. Its Earth minimum orbit intersection distance is . This makes the body a"
"It orbits the Sun in the outermost asteroid belt at a distance of 3.2–3.9 AU once every 6 years and 8 months (2,439 days; semi-major axis of 3.55 AU). Its orbit has an eccentricity of 0.09 and an inclination of 19° with respect to the ecliptic. This minor planet was named after Ulla Ahrens, a daughter of a friend of the discoverer. Karl Reinmuth also named the asteroid 950 Ahrensa for the Ahrens family, who was a donor of the Heidelberg Observatory. The official naming citation was mentioned in ""The Names of the Minor Planets"" by Paul Herget in 1955"
"50000 Quaoar 50000 Quaoar (), provisional designation , is a non-resonant trans-Neptunian object (cubewano) and possibly a dwarf planet in the Kuiper belt, located in the outermost region of the Solar System. It measures approximately 1110 kilometers in diameter or half the size of Pluto. The object was discovered by American astronomers Chad Trujillo and Michael Brown at the Palomar Observatory on 6 June 2002. Signs of water ice have been found, which suggests that cryovolcanism may be occurring. A small amount of methane is present on its surface, which can only be retained by the largest Kuiper belt objects."
"50000 Quaoar 50000 Quaoar (), provisional designation , is a non-resonant trans-Neptunian object (cubewano) and possibly a dwarf planet in the Kuiper belt, located in the outermost region of the Solar System. It measures approximately 1110 kilometers in diameter or half the size of Pluto. The object was discovered by American astronomers Chad Trujillo and Michael Brown at the Palomar Observatory on 6 June 2002. Signs of water ice have been found, which suggests that cryovolcanism may be occurring. A small amount of methane is present on its surface, which can only be retained by the largest Kuiper belt objects."
"(9948) 1990 QB2 , provisional designation "", is a stony Nysian asteroid from the inner region of the asteroid belt, approximately in diameter. It was discovered on 22 August 1990, by American astronomer Henry Holt at the Palomar Observatory in California. The likely elongated S-type asteroid has a rotation period of 3.53 hours. This asteroid has not been named. "" is member of the Nysa family (), located in the Nysa–Polana complex. It is named after 44 Nysa and one of the largest families in the main belt. The asteroid orbits the Sun in the inner asteroid belt at a"
"kilometers based on an absolute magnitude of 8.65. 909 Ulla 909 Ulla, provisional designation """", is an asteroid from the outermost regions of the asteroid belt, approximately in diameter. It is the namesake of the Ulla family which belongs to the larger group of Cybele asteroids. It was discovered on 7 February 1919, by German astronomer Karl Reinmuth at the Heidelberg Observatory in southwest Germany. The X-type asteroid has a rotation period of 8.7 hours. It was named after Ulla Ahrens, daughter of a friend of the discoverer. ""Ulla"" is the parent body of the Ulla family, a very small"
"name, which in Latin, means """"hundredth"""". 513 Centesima Centesima (minor planet designation: 513 Centesima) is a 50 km Main-belt asteroid orbiting the Sun. It is one of the core members of the Eos family of asteroids. Relatively little is known about this tiny asteroid. It is not known to possess any natural satellites, so its mass is unknown. However, its brief rotation period of just over 5 hours implies that the body must be exceptionally dense, for its gravity is able counteract the centrifugal force. It was discovered 24 August 1903 by late-nineteenth- and early-twentieth-century astronomer Max Wolf. It was"
"9223 Leifandersson 9223 Leifandersson, provisional designation , is a background asteroid from the inner regions of the asteroid belt, approximately 4.5 kilometers in diameter. It was discovered on 18 December 1995, by astronomers of the Spacewatch program at Kitt Peak National Observatory in Arizona, United States. The asteroid was named in memory of Swedish astronomer Leif Erland Andersson. The assumed stony asteroid has a rotation period of 3.758 hours. ""Leifandersson"" is a non-family asteroid of the main belt's background population when applying the Hierarchical Clustering Method to its proper orbital elements. It has also been classified as a member of"
"a high proper motion star that moves about 0.77 arcseconds per year relative to background stars. In physical terms it is travelling with a space velocity of 31.1 km/s relative to the Solar System. The galactic orbit of this star carries it 21,300 ly from the Galactic Center at its perigee to 30,600 ly at its apogee. The orbital eccentricity is 17.8% with the semi-major axis of 25,956 ly and a semi-minor axis of 25,542 ly. Gliese 809 Gliese 809 is a red dwarf star in the constellation Cepheus, forming the primary component of a multi-star system. A visual magnitude"
"Gliese 229 Gliese 229 (also written as Gl 229 or GJ 229) is a red dwarf about 19 light years away in the constellation Lepus. It has 58% of the mass of the Sun, 69% of the Sun's radius, and a very low projected rotation velocity of 1 km/s at the stellar equator. The star is known to be a low activity flare star, which means it undergoes random increases in luminosity because of magnetic activity at the surface. The spectrum shows emission lines of calcium in the H and K bands. The emission of X-rays has been detected from"
"OGLE-2016-BLG-1190Lb OGLE-2016-BLG-1190Lb is an extremely massive extrasolar planet, with a mass about 13.4 times that of Jupiter (), or is, possibly, a low mass brown dwarf, orbiting the G-dwarf star OGLE-2016-BLG-1190L, located about 22,000 light years from Earth, in the constellation of Sagittarius, in the galactic bulge of the Milky Way. “Since the existence of the brown dwarf desert is the signature of different formation mechanisms for stars and planets, the extremely close proximity of OGLE-2016-BLG-1190Lb to this desert raises the question of whether it is truly a ‘planet’ (by formation mechanism) and therefore reacts back upon its role tracing"