Vector calculus identities: Difference between revisions

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en>JohnBlackburne
→‎Addition and multiplication: rm last term: it straightforwardly follows from last two formulae and makes the line too long
en>I2000s
m →‎Addition and multiplication: Added another vector triplet product formula.
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{{Starbox begin
Greetings! I am Myrtle Shroyer. He is really fond of performing ceramics but he is having difficulties to find time for it. South Dakota is her birth location but she needs to transfer simply because of her family members. Supervising is my profession.<br><br>Feel free to surf to my web blog :: [https://hcbsales.com/node/3739 home std test]
| name = Gamma Ceti
}}
{{Starbox image
| image =
    <div style="position: relative">[[File:Cetus IAU.svg|250px|alt=Diagram showing star positions and boundaries of the Cetus constellation and its surroundings]]
    <div style="position: absolute; left: 29.0%; top: 20.7%;">[[File:Cercle rouge 100%.svg|12px]]</div>
    </div>
| caption=Location of γ Ceti (circled) near the center
}}
{{Starbox observe
| epoch    = [[J2000.0]]
| ra      = {{RA|02|43|18.03910}}<ref name=aaa474_2_653/>
| dec      = {{DEC|+03|14|08.9390}}<ref name=aaa474_2_653/>
| appmag_v = 3.47<ref name=clpl4_99/>&nbsp;(3.56/6.63/10.16)<ref name=mnras389_2_869/>
| constell = [[Cetus (constellation)|Cetus]]
}}
{{Starbox character
| class    = {{nowrap|A3 V + F3 V + K5}}<ref name=mnras389_2_869/>
| b-v      = +0.09<ref name=clpl4_99/>
| u-b      = +0.07<ref name=clpl4_99/>
| variable =
}}
{{Starbox astrometry
| radial_v = –5.1<ref name=gcsrv/>
| prop_mo_ra  = –146.10<ref name=aaa474_2_653/>
| prop_mo_dec = –146.12<ref name=aaa474_2_653/>
| parallax = 40.97
| p_error  = 0.63
| parallax_footnote = <ref name=aaa474_2_653/>
| absmag_v =
}}
{{Starbox detail
| component1 = γ Cet A
| mass    =
| radius  = 1.9<ref name=lang2006/>
| metal_fe =
| gravity  =
| age_myr  = 300<ref name=apj653_1_675/>
| luminosity  =
| temperature =
| rotational_velocity = 186<ref name=aaa463_2_671/>
}}
{{Starbox catalog
| names = Gam Cet, 86&nbsp;Ceti, [[Bonner Durchmusterung|BD]]+02&nbsp;422, [[Henry Draper catalogue|HD]]&nbsp;16970, [[Hipparcos catalogue|HIP]]&nbsp;12706, [[Harvard Revised catalogue|HR]]&nbsp;804, [[Smithsonian Astrophysical Observatory Star Catalogue|SAO]]&nbsp;110707.<ref name=SIMBAD/>
}}
{{Starbox end}}
'''Gamma Ceti''' (γ Cet, γ Ceti) is a [[star system]] in the [[celestial equator|equatorial]] [[constellation]] [[Cetus (constellation)|Cetus]]. It has the traditional name '''Kaffaljidhma''' and has an [[apparent visual magnitude]] of 3.47.<ref name=clpl4_99/> Based upon [[parallax]] measurements, this star is located at a distance of about 80&nbsp;[[light year]]s (24.4&nbsp;[[parsec]]s) from Earth.<ref name=aaa474_2_653/>
 
==Properties==
Gamma Ceti appears to be a [[triple star system]]. The inner pair have an [[angular separation]] of 2.6&nbsp;[[arcsecond]]s. The primary component of this pair is a visual magnitude 3.6, [[A-type main sequence star]] with a [[stellar classification]] of A3&nbsp;V. The fainter secondary component is an [[F-type main sequence star]] that has a classification of F3&nbsp;V and a magnitude of 6.6.<ref name=mnras389_2_869/> The contrasting colors of these two stars makes them a popular target of amateur astronomers. The two can be resolved with a small, {{Convert|4|in|cm|abbr=on}} aperture telescope under ideal seeing conditions, although at times they are can be a challenge to resolve even with a much larger scope.<ref name=mollise2006/> At a wide separation of 840&nbsp;arcseconds is a dim, magnitude 10.2 [[K-type star]] with a classification of K5. The [[luminosity class]] of this last component remains undetermined.<ref name=mnras389_2_869/>
 
The measured [[angular diameter]] of the primary star is {{nowrap|0.74 ± 0.08 [[milliarcsecond|mas]]}}.<ref name=aaa431_773/> At the estimated distance of this system, this yields a physical size of about 1.9 times the [[Solar radius|radius of the Sun]].<ref name=lang2006/> The secondary component of this system is an [[X-ray astronomy|X-ray source]] with a luminosity of {{nowrap|2.2 × 10<sup>29</sup> erg s<sup>–1</sup>}}.<ref name=aaa475_2_677/> Gamma Ceti is about 300<ref name=apj653_1_675/>&nbsp;million years old and it appears to be a member of the stream of stars loosely associated with the [[Ursa Major moving group]].<ref name=aj125_4_1980/> The primary has been examined for an [[infrared excess|excess of infrared emission]] that would suggest the presence of circumstellar matter, but none was found.<ref name=apj653_1_675/>
 
==Etymology==
The title ''Kaffaljidhma'' was derived from [[Arabic language|Arabic]] '''الكف الجذماء''' ''Al Kaff al Jidhmah'', meaning "The cut-short hand".<ref name=allen/> According to the catalogue of stars in the ''Technical Memorandum 33-507 - A Reduced Star Catalog Containing 537 Named Stars'', ''Al Kaff al Jidhmah'' was originally the title for five stars: γ Cet as ''Kaffaljidhma'', [[Xi1 Ceti|ξ<sup>1</sup> Cet]] as ''Al Kaff al Jidhmah I'', [[Xi2 Ceti|ξ<sup>2</sup> Cet]] as ''Al Kaff al Jidhmah II'', [[Delta Ceti|δ Cet]] as ''Al Kaff al Jidhmah III'' and [[Mu Ceti|μ Cet]] as ''Al Kaff al Jidhmah IV'' (excluding [[Alpha Ceti|α Cet]] and [[Lambda Ceti|λ Cet]]).<ref name=rhoads1971/>
 
In [[Chinese language|Chinese]], {{lang|zh|天囷}} ({{lang|zh-Latn|Tiān Qūn}}), meaning ''[[Stomach (Chinese constellation)|Circular Celestial Granary]]'', refers to an asterism consisting of γ Ceti, [[Alpha Ceti|α Ceti]], [[Kappa1 Ceti|κ<sup>1</sup> Ceti]], [[Lambda Ceti|λ Ceti]], [[Mu Ceti|μ Ceti]], [[Xi1 Ceti|ξ<sup>1</sup> Ceti]], [[Xi2 Ceti|ξ<sup>2</sup> Ceti]], [[Nu Ceti|ν Ceti]], [[Delta Ceti|δ Ceti]], [[75 Ceti]], [[70 Ceti]], [[63 Ceti]] and [[66 Ceti]]. Consequently, γ Ceti itself is known as {{lang|zh|天囷八}} ({{lang|zh-Latn|Tiān Qūn bā}}, {{lang-en|the Eighth Star of Circular Celestial Granary}}.)<ref>{{zh icon}} [http://aeea.nmns.edu.tw/2006/0607/ap060711.html AEEA (Activities of Exhibition and Education in Astronomy) 天文教育資訊網 2006 年 7 月 11 日]</ref>
 
== References ==
{{reflist|refs=
 
<ref name=aaa474_2_653>{{citation | first=F. | last=van Leeuwen |date=November 2007 | title=Validation of the new Hipparcos reduction | journal=Astronomy and Astrophysics | volume=474 | issue=2 | pages=653–664 | bibcode=2007A&A...474..653V | doi=10.1051/0004-6361:20078357 |arxiv = 0708.1752 }}</ref>
 
<ref name=gcsrv>{{citation | last=Wilson | first=Ralph Elmer | year=1953 | title=General Catalogue of Stellar Radial Velocities | publisher=Carnegie Institution of Washington | location=Washington | bibcode=1953QB901.W495..... }}</ref>
 
<ref name=aaa463_2_671>{{citation | last1=Royer | first1=F. | last2=Zorec | first2=J. | last3=Gómez | first3=A. E. | title=Rotational velocities of A-type stars. III. Velocity distributions | journal=Astronomy and Astrophysics | volume=463 | issue=2 | pages=671–682 |date=February 2007 | doi=10.1051/0004-6361:20065224 | bibcode=2007A&A...463..671R |arxiv = astro-ph/0610785 }}</ref>
 
<ref name=clpl4_99>{{citation | display-authors=1 | last1=Johnson | first1=H. L. | last2=Iriarte | first2=B. | last3=Mitchell | first3=R. I. | last4=Wisniewskj | first4=W. Z. | title=UBVRIJKL photometry of the bright stars | journal=Communications of the Lunar and Planetary Laboratory | volume=4 | issue=99 | year=1966 | bibcode=1966CoLPL...4...99J }}</ref>
 
<ref name=mnras389_2_869>{{citation | last1=Eggleton | first1=P. P. | last2=Tokovinin | first2=A. A. | title=A catalogue of multiplicity among bright stellar systems | journal=Monthly Notices of the Royal Astronomical Society | volume=389 | issue=2 | pages=869–879 |date=September 2008 | doi=10.1111/j.1365-2966.2008.13596.x | bibcode=2008MNRAS.389..869E |arxiv = 0806.2878 }}</ref>
 
<ref name=SIMBAD>{{citation | title=LTT 10892 -- High proper-motion Star | work=SIMBAD Astronomical Object Database | publisher=Centre de Données astronomiques de Strasbourg | url=http://simbad.u-strasbg.fr/simbad/sim-id?Ident=Gamma+Ceti | accessdate=2012-03-04 }}</ref>
 
<ref name=allen>{{citation | url=http://penelope.uchicago.edu/Thayer/E/Gazetteer/Topics/astronomy/_Texts/secondary/ALLSTA/Cetus*.html | title=Star Names: Their Lore and Meaning | first1=Richard Hinckley | last1=Allen | page=160 | edition=Dover | year=1963 | publisher=University of Chicago }}</ref>
 
<ref name=rhoads1971>{{citation | url=http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720005197_1972005197.pdf | first1=Jack W. | last1=Rhoads | title=Technical Memorandum 33-507-A Reduced Star Catalog Containing 537 Named Stars | publisher=Jet Propulsion Laboratory, California Institute of Technology | date=November 15, 1971 }}</ref>
 
<ref name=aaa475_2_677>{{citation | last1=Schröder | first1=C. | last2=Schmitt | first2=J. H. M. M. | title=X-ray emission from A-type stars | journal=Astronomy and Astrophysics | volume=475 | issue=2 | pages=677–684 |date=November 2007 | doi=10.1051/0004-6361:20077429 | bibcode=2007A&A...475..677S }}</ref>
 
<ref name=apj653_1_675>{{citation | display-authors=1 | last1=Su | first1=K. Y. L. | last2=Rieke | first2=G. H. | last3=Stansberry | first3=J. A. | last4=Bryden | first4=G. | last5=Stapelfeldt | first5=K. R. | last6=Trilling | first6=D. E. | last7=Muzerolle | first7=J. | last8=Beichman | first8=C. A. | last9=Moro-Martin | first9=A. | title=Debris Disk Evolution around A Stars | journal=The Astrophysical Journal | volume=653 | issue=1 | pages=675–689 |date=December 2006 | doi=10.1086/508649 | bibcode=2006ApJ...653..675S |arxiv = astro-ph/0608563 }}</ref>
 
<ref name=aaa431_773>{{citation | last1=Richichi | pages=A. | last2=Percheron | first2=I. | last3=Khristoforova | first3=M. | title=CHARM2: An updated Catalog of High Angular Resolution Measurements | journal=Astronomy and Astrophysics | volume=431 | pages=773–777 |date=February 2005 | doi=10.1051/0004-6361:20042039 | bibcode=2005A&A...431..773R }}</ref>
 
<ref name=lang2006>{{citation | first1=Kenneth R. | last1=Lang | title=Astrophysical formulae | volume=1 | series=Astronomy and astrophysics library | edition=3 | publisher=Birkhäuser | year=2006 | isbn=3-540-29692-1 | url=http://books.google.com/books?id=OvTjLcQ4MCQC&pg=PA41 }}. The radius (R<sub>*</sub>) is given by:
:<math>\begin{align} 2\cdot R_*
& = \frac{(24.4\cdot 0.74\cdot 10^{-3})\ \text{AU}}{0.0046491\ \text{AU}/R_{\bigodot}} \\
& \approx 3.88\cdot R_{\bigodot}
\end{align}</math></ref>
 
<ref name=aj125_4_1980>{{citation | display-authors=1 | last1=King | first1=Jeremy R. | last1=Villarreal | first1=Adam R. | last1=Soderblom | first1=David R. | last1=Gulliver | first1=Austin F. | last1=Adelman | first1=Saul J. | title=Stellar Kinematic Groups. II. A Reexamination of the Membership, Activity, and Age of the Ursa Major Group | journal=The Astronomical Journal | volume=125 | issue=4 | pages=1980–2017 |date=April 2003 | doi=10.1086/368241 | bibcode=2003AJ....125.1980K }}</ref>
 
<ref name=mollise2006>{{citation | first1=Rod | last1=Mollise | title=The urban astronomer's guide: a walking tour of the cosmos for city sky watchers | series=Patrick Moore's practical astronomy series | publisher=Springer | year=2006 | isbn=1-84628-216-0 | page=200 | url=http://books.google.com/books?id=Z0mvZk0s_TMC&pg=PA200 }}</ref>
 
}}
 
==External links==
*{{citation | first1=James B. | last1=Kaler | title=KAFFALJIDHMA (Gamma Ceti) | work=Stars | publisher=University of Illinois | url=http://stars.astro.illinois.edu/sow/kaffaljidhma.html | accessdate=2012-03-04 }}
 
{{Stars of Cetus}}
 
[[Category:Cetus (constellation)]]
[[Category:Bayer objects|Ceti, Gamma]]
[[Category:Stars with proper names]]

Revision as of 23:16, 28 February 2014

Greetings! I am Myrtle Shroyer. He is really fond of performing ceramics but he is having difficulties to find time for it. South Dakota is her birth location but she needs to transfer simply because of her family members. Supervising is my profession.

Feel free to surf to my web blog :: home std test