"however, easy to show that most numbers are not perfect cubes because ""all"" perfect cubes must have digital root 1, 8 or 9. That is their values modulo 9 may be only −1, 1 and 0. Moreover, the digital root of any number's cube can be determined by the remainder the number gives when divided by 3: Every positive integer can be written as the sum of nine (or fewer) positive cubes. This upper limit of nine cubes cannot be reduced because, for example, 23 cannot be written as the sum of fewer than nine positive cubes: The equation has"
"2008 ST291 , also written as 2008 ST291, is a trans-Neptunian object with an absolute magnitude of 4.2, making it possibly a dwarf planet. It is located near the 1:6 Neptune resonance of 99.4 AU (compared to its 99.3 ± 0.2 AU), meaning that it completes roughly 1 orbit for every 6 orbits Neptune makes. is estimated to be about in diameter, assuming a typical albedo of 0.09 for trans-Neptunian objects. However, because its albedo is unknown and it has an absolute magnitude of 4.2, it could be anywhere between 370 and 820 km in diameter. , currently 60.9 AU"
"NGC 7129 NGC 7129 is a reflection nebula located 3,300 light years away in the constellation Cepheus. A young open cluster is responsible for illuminating the surrounding nebula. A recent survey indicates the cluster contains more than 130 stars less than 1 million years old. NGC 7129 is located just half a degree from nearby cluster NGC 7142. The nebula is rosebud-shaped; the young stars have blown a large, oddly shaped bubble in the molecular cloud that once surrounded them at their birth. The rosy pink color comes from glowing dust grains on the surface of the bubble being heated"
"Comet of 1729 The Comet of 1729, also known as C/1729 P1 or Comet Sarabat, was a non-periodic comet with an absolute magnitude of −3, the brightest ever observed for a comet; it is therefore considered to be potentially the largest comet ever seen. The comet was discovered in the constellation of Equuleus by Father Nicolas Sarabat, a professor of mathematics, at Nîmes in the early morning of August 1, 1729. Observing with the naked eye, he saw an object resembling a faint, nebulous star: he was at first unsure if it was a comet or part of the Milky"
"(486958) 2014 MU69 , previously designated and , and nicknamed Ultima Thule ( [US ]) by the ""New Horizons"" team, is a trans-Neptunian object from the Kuiper belt located in the outermost regions of the Solar System. It was discovered by astronomers using the Hubble Space Telescope on 26 June 2014. The irregular shaped classical Kuiper belt object is a suspected contact binary or close binary system and measures approximately in diameter. In August 2015, this object was selected as the next target for the ""New Horizons"" probe shortly after it had visited Pluto. After four course changes in October"
"HD 114729 HD 114729 is a 7th magnitude star approximately away in the constellation of Centaurus. Like our Sun (G2V), it is a yellow dwarf (spectral type G0V). It is about the same mass as the Sun, but twice as luminous. That indicates a much greater age, perhaps over 10 billion years. HD 114729 has a co-moving companion designated HD 114729 B, with the latter having 25.3% of the Sun's mass and a projected separation of . In 2003 the California and Carnegie Planet Search team announced the discovery of a planet orbiting the star. This planet orbits twice as"
"NGC 7479 NGC 7479 (also known as Caldwell 44) is a barred spiral galaxy about 105 million light-years away in the constellation Pegasus. It was discovered by William Herschel in 1784. Supernovae SN 1990U and SN2009jf occurred in NGC 7479. NGC 7479 is also recognized as a Seyfert galaxy and a Liner undergoing starburst activity not only on the nucleus and the outer arms, but also across the bar of the galaxy, where most of the stars were formed in the last 100 million years. Polarization studies of this galaxy indicate that it recently underwent a minor merger and that"
"NGC 2029 NGC 2029 (also known as ESO 56-EN156) is a emission nebula in the Dorado constellation and is part of the Large Magellanic Cloud. It is part of a complex of nebulae and stars, including NGC 2032, NGC 2035 and NGC 2040, It was discovered by James Dunlop on the 27 September 1826. Its apparent magnitude is 12.29, and its size is 2.25 arc minutes. The coordinates for NGC 2029 and NGC 2030 were reversed between Herschel's original Catalogue of Nebulae and Clusters of Stars and the New General Catalogue. NGC 2030, originally GC 2029, is an isolated nebula"
"jets heats carbon monoxide molecules in the nebula. This produces the complex nebulosity that appears like a stem of a rosebud. NGC 7129 NGC 7129 is a reflection nebula located 3,300 light years away in the constellation Cepheus. A young open cluster is responsible for illuminating the surrounding nebula. A recent survey indicates the cluster contains more than 130 stars less than 1 million years old. NGC 7129 is located just half a degree from nearby cluster NGC 7142. The nebula is rosebud-shaped; the young stars have blown a large, oddly shaped bubble in the molecular cloud that once surrounded"
"after Bill Watterson (born 1958), cartoonist of the daily comic strip ""Calvin and Hobbes"". Syndicated from 1985 to 1995, this strip is fondly remembered and treasured by the discoverer, and helped him stay awake and sane on long observing nights and during the trials and tribulations of graduate school. 7784 Watterson 7784 Watterson, 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 Timothy Spahr at the U.S. Catalina Station, Arizona, on 5 August 1994. The asteroid was named after cartoonist Bill Watterson."
"58534 Logos 58534 Logos ( or ; from Greek ""λόγος"") is a trans-Neptunian object and binary system from the classical Kuiper belt, approximately . The bright cubewano belongd to the cold population and has a 66-kilometer sized companion named Zoe. The system mass is . In the Gnostic tradition, Logos and Zoe are a paired emanation of the deity, and part of its creation myth. Logos is a binary with the components of comparable size orbiting the barycentre on a moderately elliptical orbit. Logos' companion was discovered on 17 November 2001 from Hubble Space Telescope observations by K. S. Noll,"
"has an albedo of 0.29, while the ""Collaborative Asteroid Lightcurve Link"" assumes a standard albedo for stony asteroids of 0.20 and calculates a diameter of 5.7 kilometers with an absolute magnitude of 13.6. This minor planet was named in honor of Antonio Vagnozzi (born 1950), an Italian amateur astronomer, discoverer of minor planets, and pioneer in using CCD cameras at the Santa Lucia Stroncone Astronomical Observatory in Italy. He is also an observer and discoverer of supernovae. The official naming citation was published by the Minor Planet Center on 11 April 1998 (). 7529 Vagnozzi 7529 Vagnozzi, provisional designation ,"
"Sun than or further than 52.1 AU. 58534 Logos 58534 Logos ( or ; from Greek ""λόγος"") is a trans-Neptunian object and binary system from the classical Kuiper belt, approximately . The bright cubewano belongd to the cold population and has a 66-kilometer sized companion named Zoe. The system mass is . In the Gnostic tradition, Logos and Zoe are a paired emanation of the deity, and part of its creation myth. Logos is a binary with the components of comparable size orbiting the barycentre on a moderately elliptical orbit. Logos' companion was discovered on 17 November 2001 from Hubble"
"2829 Bobhope 2829 Bobhope, provisional designation , is a carbonaceous asteroid from the outer region of the asteroid belt, approximately 37 kilometers in diameter. It was discovered on 9 August 1948, by South African astronomer Ernest Leonard Johnson at Union Observatory in Johannesburg. The asteroid was later named after comedian Bob Hope. ""Bobhope"" is a member of the Meliboea family, a smaller asteroid family of carbonaceous outer-belt asteroids with a few hundred members, named after 137 Meliboea. It orbits the Sun in the outer main-belt at a distance of 2.5–3.7 AU once every 5 years and 5 months (1,985 days)."
"(55565) 2002 AW197 , provisional designation , is a classical, non-resonant trans-Neptunian object from the Kuiper belt in the outermost region of the Solar System, also known as cubewano. With a diameter of at least it is considered a highly likely dwarf planet candidate. Photometric observations suggest that it is a spheroid with a high albedo and small albedo spots. It was discovered at Palomar Observatory in 2002 and has a rotation period of 8.8 hours and a moderately red color. was discovered on 10 January 2002, by astronomers at the Palomar Observatory in California. Astronomers involved in the discovery"
"(469372) 2001 QF298 , provisionally known as , is a resonant trans-Neptunian object that resides in the Kuiper belt in the outermost region of the Solar System. It was discovered on August 19, 2001 by Marc W. Buie. is a plutino, meaning that it is locked in a 3:2 orbital resonance with Neptune, much like Pluto. In 2012, the size of was estimated based on thermal radiation data obtained with the Herschel Space Telescope. The result was 408.2 km. In the visible light, the object appears to have a neutral or slightly red color. When first discovered, was calculated to"
"IC 349 IC 349, also known as Barnard's Merope Nebula, is a nebula which lies 3500 AUs (0.06 light years) from the star Merope in the Pleiades cluster. It was discovered in November 1890 by the American astronomer Edward Emerson Barnard, who described it as ""a new and comparatively bright round cometary nebula close south and following Merope (23 Tau) ... about 30"" in diameter, of the 13 (magnitude), gradually brighter in the middle, and very cometary in appearance.” The British astronomer Charles Pritchard, however, disputed Barnard's discovery announcement, claiming to have discovered it himself on a photographic plate obtained"
"NGC 7469 NGC 7469 is an intermediate spiral galaxy in the constellation of Pegasus. NGC 7469 is located about 200 million light years away from Earth, which means, given its apparent dimensions, that NGC 7469 is approximately 90,000 light years across. It was discovered by William Herschel on November 12, 1784. NGC 7469 is a type I Seyfert galaxy, characterised by its bright nucleus. It is also a luminous infrared source with a powerful starburst embedded into its circumnuclear region. The coexistence of a circumnuclear starburst ring and an active galactic nucleus have turned NGC 7469 into a key target"
"NGC 7332 NGC 7332 is an edge-on peculiar lenticular galaxy located about 67 million light-years away. It possesses a (peanut shell)-shaped bulge, associated with stellar bar. NGC 7332 and NGC 7339 form a dynamically isolated binary system (number 570 in the catalog of double galaxies compiled by Igor Karachentsev), and are likely orbiting each other. NGC 7332 is the brighter of the two galaxies. In the sky NGC 7339 lies 5' away from NGC 7332. NGC 7332 is an unusually blue object with a corrected apparent B-magnitude of 11.5. A 130mm to 200mm telescope will be needed to visually detect"
"have an absolute magnitude (H) of 4.7. Light-curve-amplitude analysis from 2008 showed only small deviations, which suggested that could be a spheroid about in diameter with small albedo spots and hence a dwarf planet. It is not included in the same authors' list of dwarf-planet candidates from 2010 because, having an absolute magnitude of 5.4 and assumed albedo of 0.1, it would be less than the cut-off size of (the same criteria as in the first paper). (469372) 2001 QF298 , provisionally known as , is a resonant trans-Neptunian object that resides in the Kuiper belt in the outermost region"
"78431 Kemble 78431 Kemble, provisional designation , is an asteroid from the inner regions of the asteroid belt, approximately 3 kilometers in diameter. It was discovered on 16 August 2002, by astronomer Andrew Lowe on images taken at the Palomar Observatory, California, United States. The asteroid was named after Father Lucian Kemble. ""Kemble"" orbits the Sun in the inner main-belt at a distance of 2.1–2.8 AU once every 3 years and 10 months (1,394 days). Its orbit has an eccentricity of 0.15 and an inclination of 3° with respect to the ecliptic. A precovery obtained at the Steward Observatory (Kitt"
"7387 Malbil 7387 Malbil, provisional designation , is a background asteroid from the inner regions of the asteroid belt, approximately 6 kilometers in diameter. It was discovered on 30 January 1982, by American astronomer Edward Bowell at Lowell's Anderson Mesa Station in Arizona, United States. It is named for pianist Malcolm Bilson. ""Malbil"" is not a member of any known asteroid family. It orbits the Sun in the inner main-belt at a distance of 2.1–2.8 AU once every 3 years and 10 months (1,401 days). Its orbit has an eccentricity of 0.15 and an inclination of 7° with respect to"
"NGC 7380 NGC 7380 (also known as the Wizard Nebula) is an open cluster discovered by Caroline Herschel in 1787. William Herschel included his sister's discovery in his catalog, and labelled it H VIII.77. It is also known as 142 in the 1959 Sharpless catalog (Sh2-142). This reasonably large nebula is located in Cepheus. It is extremely difficult to observe visually, usually requiring very dark skies and an O-III filter. Located 7200 light years away, the Wizard nebula, surrounds developing open star cluster NGC 7380. Visually, the interplay of stars, gas, and dust has created a shape that appears to"
"of 100 km in diameter. The JPL small-body database only uses three observations, a two-body model, and an assumed epoch to compute the orbit of this parabolic comet. Comet of 1729 The Comet of 1729, also known as C/1729 P1 or Comet Sarabat, was a non-periodic comet with an absolute magnitude of −3, the brightest ever observed for a comet; it is therefore considered to be potentially the largest comet ever seen. The comet was discovered in the constellation of Equuleus by Father Nicolas Sarabat, a professor of mathematics, at Nîmes in the early morning of August 1, 1729. Observing"
"WISE 0713−2917 WISE J071322.55−291751.9 (designation abbreviated to WISE 0713−2917) is a brown dwarf of spectral class Y0, located in constellation Canis Major at approximately 23 light-years from Earth. WISE 0713−2917 was discovered in 2012 by J. Davy Kirkpatrick and colleagues from data collected by the Wide-field Infrared Survey Explorer (WISE) in the infrared at a wavelength of 40 cm (16 in), whose mission lasted from December 2009 to February 2011. In 2012 Kirkpatrick et al. published a paper in The Astrophysical Journal, where they presented discovery of seven new found by WISE brown dwarfs of spectral type Y, among which"
"V429 Geminorum V429 Geminorum (BD+20°1790) is a young orange dwarf star in the constellation Gemini, located nearly 85 light years away from the Sun. It is a BY Draconis variable, a cool dwarf which varies rapidly in brightness as it rotates. The star is young and very active and is a member of the AB Doradus Moving Group. The star has also been studied and monitored by SuperWASP group and found to coincide with the ROSAT source 1RXS J072343.6+202500. The planet candidate was announced in December 2009. The Keplerian fit of the RV data suggested an orbital solution for a"
"HR 4729 HR 4729 (HD 108250) is a multiple star system located about from the Sun in the constellation of Crux and part of the asterism known as the Southern Cross. It is a close companion of α Crucis and sometimes called α Crucis C. HR 4729 is the star's designation in the Bright Star Catalogue. It is also often referred to by its Henry Draper Catalogue listing of HD 108250. Because of its closeness to α Crucis it is included in many multiple star catalogues as α Crucis C. It is also listed as star 25 in Crux in"
"Sh2-279 Sh2-279 (alternatively designated S279 or Sharpless 279) is an HII region and bright nebulae that includes a reflection nebula located in the constellation Orion. It is the northernmost part of the asterism known as Orion's Sword, lying 0.6° north of the Orion Nebula. The reflection nebula embedded in Sh2-279 is popularly known as the Running Man Nebula. Sh2-279 comprises three NGC nebulae, NGC 1973, NGC 1975, and NGC 1977 that are divided by darker nebulous regions. It also includes the open cluster NGC 1981. The brightest nebulosity, later listed as NGC 1977, was discovered by William Herschel in 1786."
"2003 SQ317 is a classical Kuiper belt object (cubewano) belonging to the cold population. Its size estimated to lie between 150 and 450 km based on a range of plausible albedos. The object has a large light curve amplitude of about 0.85, which indicates that it has an extremely elongated shape or is a contact binary. In the former case the density of is estimated at about 0.86 g/cm and its axis ratios at 0.55 and 0.41. If is a contact binary, which is actually more likely, the density is estimated at about 2.67 g/cm. In the latter case, the"
"HD 192310 HR 7722 (also known as 5 G. Capricorni or Gliese 785) is a star in the southern constellation of Capricornus. It is located in the solar neighborhood at a distance of just over 29 light years, and is within the range of luminosity needed to be viewed from the Earth with the unaided eye. (According to the Bortle scale, it can be viewed from dark suburban skies.) HR 7722 is suspected of being a variable star, but this is unconfirmed. This is a K-type main sequence star with a stellar classification of K2+ V. HR 7722 has about"
"with an embedded star cluster, about 1.5 degrees north of NGC 2029. NGC 2029 NGC 2029 (also known as ESO 56-EN156) is a emission nebula in the Dorado constellation and is part of the Large Magellanic Cloud. It is part of a complex of nebulae and stars, including NGC 2032, NGC 2035 and NGC 2040, It was discovered by James Dunlop on the 27 September 1826. Its apparent magnitude is 12.29, and its size is 2.25 arc minutes. The coordinates for NGC 2029 and NGC 2030 were reversed between Herschel's original Catalogue of Nebulae and Clusters of Stars and the"
"53311 Deucalion 53311 Deucalion ( ; from ), provisional designation , is a trans-Neptunian object from the classical Kuiper belt, located in the outermost region of the Solar System, approximately . The cubewano belongs to the cold population and was discovered on 18 April 1999, by the Deep Ecliptic Survey at the Kitt Peak National Observatory in Arizona, United States. It was named after Deucalion, from Greek mythology. ""Deucalion"" orbits the Sun at a distance of 41.4–47.4 AU once every 295 years and 10 months (108,044 days; semi-major axis of 44.4 AU). Its orbit has an eccentricity of 0.07 and"
"2029 Binomi 2029 Binomi, provisional designation """", is a Vestian asteroid from the inner regions of the asteroid belt, approximately 7 kilometers in diameter. The asteroid was discovered on 11 September 1969, by Paul Wild at Zimmerwald Observatory near Bern, Switzerland. It was named for the fictitious mathematician ""Alessandro Binomi"" who invented the binomial formula. ""Binomi"" is a member of the Vesta family, one of the largest collisional populations of the inner asteroid belt. It orbits the Sun at a distance of 2.0–2.7 AU once every 3 years and 7 months (1,316 days). Its orbit has an eccentricity of 0.13"