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In celestial mechanics, the mean anomaly is a parameter that defines the position of a body that is moving in a Kepler orbit. It is defined as the time since the last periapsis (closest approach to the central body) times 2π / T, where T is the duration of a full orbit. The mean anomaly increases uniformly from 0 to 2π radians during each orbit. However, it does not have any simple interpretation as a geometric angle; it is merely time measured in radians. Due to Kepler's second law, however, the mean anomaly is proportional to the area swept by the focus-to-body line since the last periapsis. The mean anomaly is usually denoted by the letter M, and is also given by the formula
where a is the length of the orbit's semi-major axis and μ is the standard gravitational parameter. The mean anomaly is one of three angular parameters ("anomalies") that define a position along an orbit; the other two being the eccentric anomaly and the true anomaly. FormulasThe mean anomaly M can be computed from the eccentric anomaly E by the formula
To find the position of the object in an elliptic Kepler orbit at a given time t, the corresponding mean anomaly is determined with (1) and then the corresponding eccentric anomaly is found by solving (2) numerically, e.g. with the Newton-Raphson algorithm. From Wikipedia under the
GNU Free Documentation License  nsidc.org 250px x 450px | 47.90kB [source page] Notes Time series of nascence days left and anomalies relative to the 1982 2001 mean right for regional subsets red squares in the images The  hadobs.metoffice.com 621px x 462px | 206.30kB [source page] Regionally averaged monthly mean anomaly q RH and T timeseries for the Globe Northern Hemisphere Tropics and Southern Hemisphere RH green and q blue timeseries are from HadCRUH and the T red timeseries is from HadCRUT3 Units are in g kg and C respectively The T data have been re normalised to From Yahoo Image Search: "Mean anomaly"  jenab6.livejournal.com jenab6 hu, 09 Jul 2009 00:52:42 GM The . mean anomaly. , m, of the object in the orbit at time = t. m = u e sin u Note: u must be entered in radians, and m will return in radians. The period of the orbit, P, days. P = ( / 43200) sqrt[ a / (GM) ] The . mean. motion, , ...  articlesandtexticles.co.uk michael hu, 17 Sep 2009 23:23:15 GM Apart from its unusual shape and size, and its very modern looking curves, there was a striking and arresting . anomaly. :- The bamboo broom clamped onto the side looked just like the besom that Kiki rides in Kiki's Delivery Service . ...  tamino.wordpress.com tamino hu, 10 Sep 2009 02:28:55 GM Purely because the auto-zoom is decreasing the axis since it doesn't diverge as much from the . mean. . And temperature . anomaly. is just how much different from a reference point is this and so the raw temps can be done against the same ... From Google Blog Search: "Mean anomaly"  news.google.com Telegraph.co.uk The change was proposed to end what the Government considered an anomaly , whereby senior members of the judiciary also sat in the legislature. ... and more » news.google.com Washington Daily News But, like Curtis and Williams, Barnes was reluctant to view Floyd as an isolated anomaly . As an example of what hurricanes can do, Barnes pointed to the ... and more » news.google.com SYS-CON Media (press release) The analysis is based on pixel pattern recognition algorithms, the 2.31um (micron) hydrocarbon absorption anomaly , stressed vegetation analysis, ... and more » From Google News Search: "Mean anomaly" What are some words that begin with the letter A that mean thought-provoking, exception, or unique? Q. Not aberrant, anomaly, anomalous, or atypical, something else... Asked by bob - Sun Jan 18 01:00:10 2009 - - 2 Answers - 0 Comments A. absorbing arresting awesome astonishing amazing . Answered by Butterfly - Sun Jan 18 01:06:38 2009 My Dr. did 2 blood and urine tests on me this month, and found LOW carbon monoxide levels--what can this mean? Q. She said it could be an anomaly, but may be related to stress or depression. Short of sucking on a tailpipe for a spell, what should I know about this? Asked by bigheadbride - Tue Jun 13 23:42:11 2006 - - 4 Answers - 0 Comments A. Carbon monoxide is not a routine test, certainly not the type performed in a doctor's office. When it is measured, what is actually measured is the CO bound to hemoglobin (the protein that carries oxygen from your lungs to all the cells in your body.) Your doctor may have performed a CO2 (carbon dioxide) level, but even this test by itself is not diagnostic of much. I would not worry unless you feel bad physically. In which case see a doctor and find out why. Answered by John W - Wed Jun 14 00:00:16 2006 OK let me ask this another way - how did all the MWP evidence happen?
Q. If it wasn't warmer during the MWP, how can you explain the 'multifarious evidence from around the world' that Lamb wrote about and that has surfaced since? If the MWP didn't happen or was a 'regional anomaly' --- Why were tree lines higher in mountain ranges from the Sierra Nevadas to the Alps? Why was the US Southwest stricken with drought similar to what is predicted to occur over the next 100 years? How did crop yields and grazing plants (grasses) grow in increased abundance inside the Arctic Circle? How did the Vikings farm Iceland and parts of Greenland? How did the Brits grow the wine grapes grown in Provence today? How did the Germans grow fig and olive trees? Why did North Atlantic shipping, despite better ships, decline… [cont.] Asked by truthwillnotbesilenced - Tue May 29 12:33:12 2007 - - 4 Answers - 1 Comments A. Everyone knows that there have been warming periods in Earth's past. Which has NOTHING to do with what is happening now. Don't try this in any college class, bubba--the professor will give you an "F." Its called a "straw man" arguement--not relevant and not valid. Answered by crabby_blindguy - Tue May 29 13:08:13 2007 From Yahoo Answer Search: "Mean anomaly" |
