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{| class="infobox bordered" style="font-size: 100%" cellpadding=3
== Likewise Vibram Trainers ==
|-
! Body
! ''μ'' (km<sup>3</sup>s<sup>−2</sup>)
|-
| [[Sun]]
| {{val|132712440018|(9)}}<ref name="Astrodynamic Constants" />
|-
| [[Mercury (planet)|Mercury]]
| {{val|22032}}
|-
| [[Venus]]
| {{val|324859}}
|-
| [[Earth]]
| {{val|398600.4418|(9)}}
|-
| [[Moon]]
| {{val|4902.8000}}
|-
| [[Mars]]
| {{val|42828}}
|-
| [[1 Ceres|Ceres]]
| {{val|63.1|(3)}}<ref name="Pitjeva2005" /><ref name="Britt2002" />
|-
| [[Jupiter]]
| {{val|126686534}}
|-
| [[Saturn]]
| {{val|37931187}}
|-
| [[Uranus]]
| {{val|5793939|(13)}}<ref name="Jacobson1992" />
|-
| [[Neptune]]
| {{val|6836529}}
|-
| [[Pluto]]
| {{val|871|(5)}}<ref name="Buie06" />
|-
| [[Eris (dwarf planet)|Eris]]
| {{val|1108|(13)}}<ref name="Brown Schaller 2007" />
|}


In [[celestial mechanics]], the '''standard gravitational parameter''' ''μ'' of a [[celestial body]] is the product of the [[gravitational constant]] ''G'' and the mass ''M'' of the body.
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:<math>\mu=GM \ </math>
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For several objects in the solar system, the value of ''μ'' is known to greater accuracy than ''G'' or ''M.'' The [[SI]] units of the standard gravitational parameter are [[Kilometre|km]]<sup>3</sup>[[second|s]]<sup>−2</sup>.
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== Small body orbiting a central body ==
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{{Properties_of_mass}}
Under standard assumptions in astrodynamics we have:
: <math>m \ll M \ </math>
where ''m'' is the mass of the [[orbiting body]], ''M'' is the mass of the [[central body]].


For all [[circular orbit]]s around a given central body:
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: <math>\mu = rv^2 = r^3\omega^2 = 4\pi^2r^3/T^2 \ </math>
 
where ''r'' is the orbit [[radius]], ''v'' is the [[orbital speed]], ''ω'' is the [[angular speed]], and ''T'' is the [[orbital period]].
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The last equation has a very simple generalization to [[elliptic orbit]]s:
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: <math>\mu=4\pi^2a^3/T^2 \ </math>
where ''a'' is the [[semi-major axis]]. (See [[Kepler's laws of planetary motion#Kepler's third law|Kepler's third law]]).


For all [[parabolic trajectory|parabolic trajectories]] ''rv''<sup>2</sup> is constant and equal to 2''μ''. For elliptic and hyperbolic orbits ''μ''&nbsp;=&nbsp;2''a''|''ε''|, where ''ε'' is the [[specific orbital energy]].
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== Two bodies orbiting each other == <!-- This section is linked from [[Alpha Centauri]] -->
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In the more general case where the bodies need not be a large one and a small one (the [[two-body problem]]), we define:
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* the vector '''r''' is the position of one body relative to the other
 
* ''r'', ''v'', and in the case of an [[elliptic orbit]], the [[semi-major axis]] ''a'', are defined accordingly (hence ''r'' is the distance)
  <li>[http://website.242000.com/news/html/?23662.html http://website.242000.com/news/html/?23662.html]</li>
* ''μ'' = ''Gm''<sub>1</sub> + ''Gm''<sub>2</sub> = ''μ''<sub>1</sub> + ''μ''<sub>2</sub>, where ''m''<sub>1</sub> and ''m''<sub>2</sub> are the masses of the two bodies.
 
 
  <li>[http://metransparent.nfrance.com/~k1001/spip.php?article8359&lang=ar&id_forum=8701/ http://metransparent.nfrance.com/~k1001/spip.php?article8359&lang=ar&id_forum=8701/]</li>
Then:
 
* for [[circular orbit]]s, ''rv''<sup>2</sup> = ''r''<sup>3</sup>''ω''<sup>2</sup> = 4π<sup>2</sup>''r''<sup>3</sup>/''T''<sup>2</sup> = ''μ''
  <li>[http://coalition.movementcamp.org/circle/content/tim-rayners-shout-out-invite-movementcamp#comment-17656942 http://coalition.movementcamp.org/circle/content/tim-rayners-shout-out-invite-movementcamp#comment-17656942]</li>
* for [[elliptic orbit]]s, 4π<sup>2</sup>''a''<sup>3</sup>/''T''<sup>2</sup> = ''μ'' (with ''a'' expressed in AU; ''T'' in seconds and ''M'' the total mass relative to that of the Sun, we get ''a''<sup>3</sup>/''T''<sup>2</sup> = ''M'')
 
* for [[parabolic trajectory|parabolic trajectories]], ''rv''<sup>2</sup> is constant and equal to 2''μ''
  <li>[http://exalted.rp-nexus.com/wiki/User:Tqrmqeso#.22All_the_players_we_have_Mont_Blanc_Pens http://exalted.rp-nexus.com/wiki/User:Tqrmqeso#.22All_the_players_we_have_Mont_Blanc_Pens]</li>
* for elliptic and hyperbolic orbits, ''μ'' is twice the semi-major axis times the absolute value of the [[specific orbital energy]], where the latter is defined as the total energy of the system divided by the [[reduced mass]].
 
 
</ul>
== Terminology and accuracy ==
 
Note that the [[reduced mass]] is also denoted by <math>\mu.\!\,</math>.
 
The value for the [[Earth]] is called the '''geocentric gravitational constant''' and equals {{val|398600.4418|0.0008|u=km<sup>3</sup>s<sup>−2</sup>}}. Thus the uncertainty is 1 to {{val|500000000}}, much smaller than the uncertainties in ''G'' and ''M'' separately (1 to {{val|7000}} each).
 
The value for the [[Sun]] is called the '''heliocentric gravitational constant''' or
''geopotential of the sun'' and equals {{val|1.32712440018|e=20|u=m<sup>3</sup>s<sup>−2</sup>}}.
 
== References ==
 
{{reflist
| refs =
 
<ref name="Astrodynamic Constants">
{{cite web
| title = Astrodynamic Constants
| date = 27 February 2009
| publisher = [[NASA]]/[[Jet Propulsion Laboratory|JPL]]
| url = http://ssd.jpl.nasa.gov/?constants
| accessdate = 27 July 2009
}}
</ref>
 
<ref name="Pitjeva2005">
{{cite journal
| doi = 10.1007/s11208-005-0033-2
| author = E.V. Pitjeva
| year = 2005
| title = High-Precision Ephemerides of Planets&nbsp;— EPM and Determination of Some Astronomical Constants
| url = http://iau-comm4.jpl.nasa.gov/EPM2004.pdf
| journal = [[Solar System Research]]
| volume = 39
| issue=3
| pages=176
| bibcode = 2005SoSyR..39..176P
}}
</ref>
 
<ref name="Britt2002">
{{cite book
| author = D. T. Britt, D. Yeomans, K. Housen, G. Consolmagno
| year = 2002
| chapter = Asteroid density, porosity, and structure
| title = [http://www.lpi.usra.edu/books/AsteroidsIII/download.html Asteroids III]
| editor = W. Bottke, A. Cellino, P. Paolicchi, R.P. Binzel
| page = 488
| publisher = [[University of Arizona Press]]
| url = http://www.lpi.usra.edu/books/AsteroidsIII/pdf/3022.pdf
}}
</ref>
 
<ref name="Jacobson1992">
{{cite journal
| doi = 10.1086/116211
| author = R.A. Jacobson, J.K. Campbell, A.H. Taylor, S.P. Synnott
| year = 1992
| title = The masses of Uranus and its major satellites from Voyager tracking data and Earth-based Uranian satellite data
| journal = [[Astronomical Journal]]
| volume = 103
| issue = 6
| pages = 2068–2078
| bibcode = 1992AJ....103.2068J
}}
</ref>
 
<ref name="Buie06">
{{cite journal
| doi = 10.1086/504422
| author = M.W. Buie, W.M. Grundy, E.F. Young, L.A. Young, S.A. Stern
| year = 2006
| title = Orbits and photometry of Pluto's satellites: Charon, S/2005 P1, and S/2005 P2
| journal = [[Astronomical Journal]]
| volume = 132
| pages = 290
| bibcode = 2006AJ....132..290B
| arxiv = astro-ph/0512491
}}
</ref>
 
<ref name="Brown Schaller 2007">
{{cite journal
| doi = 10.1126/science.1139415
| author = M.E. Brown, E.L. Schaller
| year = 2007
| title = The Mass of Dwarf Planet Eris
| journal = [[Science (journal)|Science]]
| volume = 316
| issue = 5831
| pages = 1586
| bibcode = :2007Sci...316.1585B
}}
</ref>
 
<!--
<ref name="Lunar Constants and Models Document">
{{cite web
| title = Lunar Constants and Models Document
| date = 23 September 2005
| publisher = [[NASA]]/[[Jet Propulsion Laboratory|JPL]]
| url = http://www.hq.nasa.gov/alsj/lunar_cmd_2005_jpl_d32296.pdf
| accessdate = 1 April 2013
}}
</ref>-->
 
}}
 
== See also ==
 
* [[Astronomical system of units]]
* [[Planetary mass]]
 
{{orbits}}
 
[[Category:Orbits]]

Revision as of 12:55, 26 February 2014

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the 1080p screen is great, viewing tiny textual content on a non mobile seo'ed site was Louis Vuitton Auckland amazingly sharpened. The same text on my Take note 2 was slightly pixelated, even though I could see much more of the site on the watch's screen.

the screen wasn't as dazzling as I expected it to be. Set at max brightness, it did not seem very bright on hand, and not as bright because the Note 2 screen at less than max brightness. Still a lot more than sufficient however.

build quality has been nice, but didn't get the wow factor I expected. Individually I thought the iPhone 5 felt more premium the rubbery lines on the back vs. the graceful iPhone aluminum back seemed to be markedly different. However, nonetheless the class of the field for Android, but not the visceral feeling of wow I expected. My partner (who is stuck on Apple company and has the 5), laughed indicating this company was copying Apple inc so hard.

still not a fan with the viewable screen size to phone size. The actual amount of screen real estate where content would seem in a browser was meh excessive wasted space between the frame, black borders around the display, and button row. Believed worse than the S3, which is more intense than the Note 2, which in turn looks to be worse as opposed to S4 (and I assume the Note 3).

Darragh Donnelly Nike Free 5.0 Nz

THE LATE Con Houlihan generally wrote about the gremlins at work when something didn turn out as he had planned. I am afraid that the gremlins had been at work last week when my personal column failed to make it to their destination.

I sent them by e mail on Weekend morning, or at least I thought that left my computer, although somewhere in the cyber space among Athlone and Boyle it went missing out on. Sorry about that. Maybe it was equally efficiently. While I gave St. Brigid any hesitatnt vote to beat the Galway winners Salthill Knocknacarra, you could read between the traces that I wasn Nike Free 5.0 Nz all that confident. It seemed like they would struggle against a properly rated Galway city side. Also me of little faith.

St. Brigid produced a brilliant screen to win by a persuading 0 15 to 1 8 margin in Pearse Ground on Sunday last. There was no doubting the Kiltoom men efficiency. It was always going to be a hard ask for the Roscommon champions. A seaside club has only won 3 Galway senior championships, but about the last two occasions, 1990 and also 2005, they went on to be able to win the provincial title along with contested the All Ireland final on each occasion.

In 2005, not only did they win the Connacht title, they went on to win the All Ireland title as well. They were confident of getting it it a third time period lucky by adding another provincial title to the county title acquired a few weeks ago.

I proposed that St. Brigid wouldn need to have a very first 20 minutes like they had towards Melvin Gaels. For the first 20 minutes of the game, the champions appeared anything but comfortable. The support was all over the place against some sort of forward line that had just one Vibram Kso Uk single real quality forward, Emlyn Mulligan. The actual mental approach in Pearse Arena was totally different. It was apparent from the throw in that the Kiltoom adult men meant business.

The level of the St. Brigid tackling appeared to be something that the Galway champions couldn deal with. The losers were made to line out without past Roscommon star Gary Cox and lost corner forward Seamie Crowe who appeared to go over on his foot and had to retire injured after only six minutes.

The outlet exchanges were very besides the sides level on a few occasions in the first 10-20 minutes. Then St. Brigid began Vibram Five Fingers Uk to hop on top at midfield where Karol Mannion ended up being having one of his best games ever in the green and red jersey. With Senan Kil bride and also Frankie Dolan finding the range from frees, E. Brigid added five points prior to half time to lead by 4 8 to 0 Five at the break.

The opening min's of the second half were going to be vital as Saint. Brigid faced the wind. Frankie, Senan and also Damien Kelleher hit points to stretch control and set the Kiltoom men on the way to victory. The winners competed some brilliant football because the second half progressed and the screen was adorned by some enjoyable points from frees by way of Frankie Dolan.

Overall, it was a very good enough display and St. Brigid is now able to look forward to a final against Ballaghaderreen. There was clearly some outstanding displays out of Ronan Stack, Peter Domican, Darragh Donnelly, Damien Kelleher, Karol Mannion, Garvan Dolan, Niall Grehan, Frankie Dolan and Dude of the Match Senan Kilbride. The final really should revive memories for Senan daddy, Sen, as he played for Ballaghaderreen for a variety of years before returning to enjoy Roscommon.

I don drink alcohol having said that i tend to be very accident subject. I suffer from serious vertigo, which will doesn always make it easy to continue in an upright position.

As I left the top row of seats in Pearse Stadium after previous Sunday game, I had missed a step and landed to the broad of my rear between two rows regarding seats. I wasn injured even so was badly shaken.

I really understand the concern of those who witnessed the fall and who rushed to be able to my assistance. One gentleman was particulary kind when he offered to walk back to my motor vehicle with me. If I didn thank the pup sufficiently at the time it is because I was still shaken after the fall. In case he is reading this I want to provide him that I really liked his kindness.

Maybe it will take a tumble at times to aid us realise how type people are and how much true goodness there is out there.

The time has come of the year when some players are considering whether to call occasion on their playing careers or even to continue for another season at the least. It is not an easy decision for any player to make but time waits for no one.

A fortnight ago, Tyrone Ryan Mc Menamin chosen to call time on her playing days with the Red-colored Hand. as he was acknowledged, was a tough, uncompromising defender that often crossed the line for a few occasions and observed more than one straight red unit card in his time. In a 14 year career with Tyrone, he / she won three All Eire medals and an All Superstar award in 2005. This individual owes nothing to the game or to Tyrone. He may continue to play with his membership Dromore.

His retirement means that simply Sen Cavanagh, John Devine, Conor Gormley and Owen Mulligan remain on the team that brought the primary All Ireland title on the county in 2003. Mickey Harte with his fantastic selectors will have to start team building again but they have plenty of young skills in the county.

Cork celebrated dual star Sen g hAilpn has also thought i would quit the intercounty scene. In 35, he has given the all to the Cork cause particulary inside hurling. Born in Figi of your Figian mother and a Fermanagh father (or hurling strongholds as the legendary Michel Muircheartaig as soon as famously said), he earned three All Ireland throwing medals with Cork in 2004, 2004 and 2005. Actually is well liked played in the All Ireland in europe football final of 2007. He was named of the year in 2004. He is some sort of fluent Irish speaker and he sent a memorable victory speech while Gaeilge when accepting the Liam McCarthy Cup as captain in 2006. This is his second time for it to retire, but this time he says it for good. The game will miss him. He appeared to be one of the great characters within Irish sport.

Dublin Toms Quinn is another player who may have decided to hang up the boots immediately after ten years playing for Dublin. I often felt that the talented St. Vincent forward never actually realised his full likely with Dublin. A brilliant free taker, they didn always star in wide open play but on his or her day he could be very exciting to watch. His Dublin team mate Robert Casey also called time on her intercounty career during the week. Cheap Ray Bans Galway Person Bergin is another player who has made a decision to call it a day. He gave sterling prefer to Galway down through the years but some injuries in recent years have constrained his influence somewhat. Are experts in missed by Galway.

After a lengthy silence that was beginning to thwart followers of the game during the entire county, there was smoke upon Thursday last when the scheduled appointment of John Evans was proclaimed.

The Killorglin native becomes the first ever Kerry man to manage some sort of Roscommon team. The last Kerryman to manage a new Connacht team was Jack U when he managed Mayo with 1992 and believe you can find widespread welcome for the visit of John Evans. He is excited about the game and had a fair deal of success with Tipperary. He brought about the Premier County for you to back to back league titles in 2008 and and actually brought them to Division Two. He previously had previously led his golf club Laune Rangers to All Ireland pub success in 1996.

He was involved in an advisory capacity together with the Tipperary minor team that gained the All Ireland a year ago and, ironically, beat Roscommon from the semi final. He warrants the support of everyone inside the county.