Goddard–Thorn theorem: Difference between revisions

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en>Nick Levine
Reverted 1 edit by 14.139.185.115 (talk): String theory is physics, but this theorem is definitely mathematics. (TW)
en>K9re11
 
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<!-- Additional parameters for this template  are available at [[Template:Infobox Planet]]. -->
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{{Infobox planet | discovery=yes | physical_characteristics = yes | bgcolour=#FFFFC0 | name=44 Nysa
| discoverer=[[Hermann Mayer Salomon Goldschmidt|H. Goldschmidt]]
| discovered=May 27, 1857
| alt_names=1977 CE
| mp_category=[[Main belt]] ([[Nysa family|Nysa]])
| orbit_ref=<ref name=JPL-small-body>{{JPL small body}}</ref>
| epoch=2008-05-14 ([[Julian day|JD]]&nbsp;2454600.5)
| semimajor=2.4238047855 ± 3.1901e-09&nbsp;AU
| perihelion=2.06469721 ± 1.3862e-07&nbsp;AU
| aphelion=2.7829123518 ± 3.6627e-09&nbsp;[[Astronomical unit|AU]]
| eccentricity=.148158617 ± 5.7499e-08
| period=3.77 ± 7.45e-09&nbsp;[[Julian year (astronomy)|a]]
| inclination=3.7028885 ± 6.2628e-06°
| asc_node=131.59519 ± 1.0657e-04°
| arg_peri=342.52066 ± 1.0904e-04°
| mean_anomaly=118.743236 ± 2.4281e-05°
| avg_speed=19.13 km/s
| dimensions={{nowrap|113 ± 10 ×}} {{nowrap|67 ± 10 ×}} {{nowrap|65 ± 12 km}}<ref name=radar/>
| mass=3.7×10<sup>17</sup> kg
| density=2.0 g/cm³
| surface_grav=0.0197 m/s²
| escape_velocity=0.0373 km/s
| rotation=6.421417 ± 0.000001&nbsp;h<ref name=binary-structures/>
| pole_ecliptic_lat=+58 ± 3°<ref name=binary-structures/>
| pole_ecliptic_lon=98 ± 2°<ref name=binary-structures/>
| spectral_type=[[E-type asteroid|E]]<ref name=binary-structures/>
| magnitude = 8.83 <!-- Ephemeris 2026-Jan-24 --> to 12.46
| abs_magnitude=7.03<ref name=JPL-small-body/>
| albedo={{nowrap|0.44 ± 0.10 (vis.)<ref name=radar/>}} {{nowrap|0.19 ± 0.06 (rad.)<ref name=radar/>}}
| angular_size = 0.09" <!-- Horizons 2026-Jan-24 --> to 0.026"
| single_temperature=~151 [[kelvin|K]]
}}
'''44 Nysa''' {{IPAc-en|ˈ|n|aɪ|s|ə}} is a large and very bright [[main-belt]] [[asteroid]], and the brightest member of the [[Nysa family|Nysian asteroid family]]. It is classified as a rare [[E-type asteroid|class E]] asteroid and is probably the largest of this type (though [[55 Pandora]] is only slightly smaller).
 
==Discovery==
It was discovered by [[Hermann Mayer Salomon Goldschmidt|Hermann Goldschmidt]] on May 27, 1857, and named after the mythical land of [[Nysa (mythology)|Nysa]] in [[Greek mythology]].
 
==Physical properties==
In 2002 [[Mikko Kaasalainen|Kaasalainen]] ''et al.'' used 63 [[lightcurve]]s from the Uppsala Asteroid Photometric Catalog (UAPC) to construct a shape model of 44 Nysa. The shape model is conical, which they interpreted as indicating the asteroid may actually be a contact [[binary asteroid|binary]].<ref name=binary-structures>{{Cite journal | title = Binary structures among large asteroids | last = Kaasalainen | first = M. | coauthors = Torppa, J.; Piironen, J. |date=March 2002 | journal = [[Astronomy and Astrophysics]] | volume = 383 | issue = 3 | pages = L19–L22 | bibcode = 2002A&A...383L..19K | doi = 10.1051/0004-6361:20020015}}</ref>
 
In 2003, Tanga ''et al.'' published results obtained from the [[Fine Guidance Sensor]] on the [[Hubble Space Telescope]] in which high-precision interferometry was performed on Nysa with the goal of a more accurate shape determination.  Due to Hubble's orbit around the Earth, hours-long photometry sessions, as are normally used to resolve the asteroid's shape, were not possible.  Instead the team used interferometry on the asteroid at the time in its rotation when it would have its longest axis perpendicular to the Earth.  Ellipsoidal shape models were then fit to the resulting data to determine an estimate of the asteroid's shape.  Both single and double ellipsoid models were fit to the data with both providing approximately the same goodness of fit; leaving the team unable to differentiate between a single elongated object and the contact binary model put forth by Kaasalainen ''et al.''<ref name=hubble>{{Cite journal | title = Asteroid observations with the Hubble Space Telescope. II. Duplicity search and size measurements for 6 asteroids | last = Tanga | first = P. | coauthors = ''et al.'' |date=April 2003 | journal = [[Astronomy and Astrophysics]] | volume = 401 | issue = 2 | pages = 733–741 | bibcode = 2003A&A...401..733T | doi = 10.1051/0004-6361:20030032}}</ref>
An observation of an occultaton by 44 Nysa of TYC 6273-01033-1 from the Dutch amateur astronomer Harrie Rutten showed a two phase reappearance on March 20, 2012. This confirms the conical shape or the binary nature of Nysa.
 
In December 2006, Shepard ''et al.'' performed three days of [[Radar astronomy|radar]] observations on Nysa with the [[Arecibo Observatory|Arecibo radio telescope]].  The asteroid was found to have a high radar [[Polarization (waves)|polarization]] value (''μ<sub>c</sub>'') of 0.50 ± 0.2, a radar albedo (<math>\hat{\sigma}_{OC}</math>) of 0.19 ± 0.06, and a visual albedo (''p<sub>v</sub>'') of 0.44 ± 0.10.<ref name=radar>{{Cite journal | title = Radar observations of E-class Asteroids 44 Nysa and 434 Hungaria | last = Shepard | first = M. | coauthors = ''et al.'' |date=May 2008 | journal = [[Icarus (journal)|Icarus]] | volume = 195 | issue = 1 | pages = 220–225 | doi = 10.1016/j.icarus.2007.12.018 | bibcode=2008Icar..195..220S}}</ref>  The albedo measurements were based on a shape model worked out at Arecibo.  The best fit shape model as measured by the Arecibo team has parameters a/b = 1.7 ± 0.1, a/c = 1.6–1.9, with an a-axis of 113 ± 10&nbsp;km; this gives an effective diameter of 79 ± 10&nbsp;km, which is in agreement with the HST study by Tanga ''et al.'' in 2003.<ref name=radar/>  The data gathered also showed signs of significant concavity in Nysa's structure, but the dip in the radar curves is not pronounced enough to indicate bifurcation, calling into question whether or not Nysa really is a contact binary.<ref name=radar/>
 
Nysa has so far been reported [[occultation|occulting]] a [[star]] three times.
 
==See also==
* [[Aubrite]]
* [[E-type asteroid]]
* [[Hungaria family]]
* [[64 Angelina]]
* [[3103 Eger]]
* [[55 Pandora]]
* [[2867 Šteins]]
 
==References==
{{Reflist}}
 
==Further reading==
* {{Cite journal | title = Phase relations of high albedo asteroids: The unusual opposition brightening of 44 Nysa and 64 Angelina | last = Harris | first = A.W. | coauthors = ''et al.'' |date=October 1989 | journal = [[Icarus (journal)|Icarus]] | volume = 81 | issue = 2 | pages = 365–374 | bibcode = 1989Icar...81..365H | doi = 10.1016/0019-1035(89)90057-2}}
 
==External links==
* {{JPL small body}}
 
{{Minor planets navigator|43 Ariadne|45 Eugenia}}
{{Small Solar System bodies}}
 
{{DEFAULTSORT:Nysa}}
[[Category:Nysa asteroids]]
[[Category:Asteroids named from Greek mythology]]
[[Category:E-type asteroids]]
[[Category:Astronomical objects discovered in 1857]]
 
[[vec:Lista de asteroidi#44 Nisa]]

Latest revision as of 10:54, 8 November 2014

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