Talk:Geoid: Difference between revisions

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{{WikiProject Physics|class=C|importance=low}}
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==Misc==
==Misc==
*Gender specific pronouns*
*Gender specific pronouns*
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==Wrong character==
==Wrong character==
Hi, I think there's an error in the formula: you write "φ and λ are geocentric latitude and longitude respectively", but nowhere in the formula can I see any φ ...
Hi, I think there's an error in the formula: you write "φ and λ are geocentric latitude and longitude respectively", but nowhere in the formula can I see any φ ...


Laurence Vanhelsuwe
Laurence Vanhelsuwe
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How is this word pronounced? I always assumed (without really thinking about it) that it is pronounced "gee-oh-id". However, on reflection is seems more likely that it is "gee-oyd". To match ''ellipsoid''. Is this correct? [[User:Muraho|Muraho]] ([[User talk:Muraho|talk]]) 11:00, 18 August 2010 (UTC)
How is this word pronounced? I always assumed (without really thinking about it) that it is pronounced "gee-oh-id". However, on reflection is seems more likely that it is "gee-oyd". To match ''ellipsoid''. Is this correct? [[User:Muraho|Muraho]] ([[User talk:Muraho|talk]]) 11:00, 18 August 2010 (UTC)
:According to dictionaries it is {{pron-en|ˈdʒiɔɪd}}.  --[[User talk:Lambiam|Lambiam]] 08:42, 2 November 2010 (UTC)
:According to dictionaries it is {{IPA-en|ˈdʒiɔɪd}}.  --[[User talk:Lambiam|Lambiam]] 08:42, 2 November 2010 (UTC)


== Mathematical formulas ==
== Mathematical formulas ==

Revision as of 04:21, 23 January 2012

Misc

  • Gender specific pronouns*

The earth has no gender, so is it necessary to call it a she ?

I'll change the article over to using gender-neutral terms

Thanks for adding the link to Physical geodesy! Martin Vermeer

I had in fact for some time been missing some explanation of "Geoid". S.

The geoid seems also to be used, along with satellite data, for estimating the topography of the sea floor; see Exploring the Ocean Basins with Satellite Altimeter Data, especially under "3. Explanation of the Gravity Anomaly". There may be a better home for this, but even if the main information goes elsewhere a 'see also' might be appropriate. (The gravitational anomoly is mentioned technically in Physical geodesy, but without discussion of use.) Mark

The second diagram shows the geoid as being above the ellipsoid where there is land but below it where there is an ocean. The first picture doesn't show this picture at all. Why this difference?194.241.59.190 (talk) 16:04, 20 February 2010 (UTC)[reply]

Wrong character

Hi, I think there's an error in the formula: you write "φ and λ are geocentric latitude and longitude respectively", but nowhere in the formula can I see any φ ...

Laurence Vanhelsuwe

The problem is that Wikipedia:TeX markup permits simple TeX characters to be displayed as HTML characters, thus in a different font, which here appears to change the character, even though both are phi. Thus I changed <math>\phi</math> to <math>\phi\ </math> by adding the math text space '\ ' immediately after the math character, which forces it to be rendered as a PNG character, just like those in the formula. — Joe Kress 07:16, Apr 17, 2005 (UTC)

Counting Coefficients

Greetings!

When you count the geopotential coefficients at the end, you get 130,317. You should probably mention what maximum degree (n) you used and why you chose that value. After all, in principle, n is infinite.

Oh, and if you're interested, here's a quick and visual definition from the project I work on (GRACE): http://www.csr.utexas.edu/grace/gravity/gravity_definition.html

Take care! Jennifer Bonin

I'll try to clarify this. After all, there are new models in the works with degree=order=2160 (over 4 million coefficients), good to 1/6 degree. MFago 14:46, 5 April 2006 (UTC)[reply]

References and Intro

Was it a good idea to split the top into the short intro and a new "description" section? More closely follows other Wikipedia articles, so I made this change. Also, this article could really use more citations. Unfortunately, I haven't quite figured out the "cite" template... MFago 15:43, 5 April 2006 (UTC)[reply]

Centrifugal Force

Hi, I can't find the answer to this anywhere!

Does the geoid take into account centrifugal force from the Earth's rotation? If so, would it be incorrect to refer to it as a mathematical figure of the gravity field alone? And if not, would it be incorrect to say that the mean sea level assumes the shape of the geoid?

Or is all of this too miniscule to make any difference?

There is not actually "a" geoid, but rather many different variations depending on whether or not one accounts for tides, etc. I do believe that it usually does account for rotation. Note that the equation given in the article is not for the geoid itself, but for the (non-rotational part of the) potential. Computing the geoid is rather more involved. I'll see if I can relocate my reference on this (at NIMA or a related site), and perhaps add more detail to the article. Also see Physical geodesy and Geodesy. The reference text the end of Geodesy is excellent and covers most of the details. MFago 23:21, 1 June 2006 (UTC)[reply]
Link added to above reference: No such thing as "The" EGM96 geoid, and tried to clarify a bit. Really needs more detail -- it's a complex subject, and I'm not entirely fluent. MFago 23:33, 1 June 2006 (UTC)[reply]

I was just wondering about this myself. The reason being that International Atomic Time is based on the rate of ticking of a clock sitting on the geoid. This definition removes any ambiguity due to gravitational time dilation, but i can't work out if it accounts for the dilation due to greater speed of movement of points on the equator compared to those at high latitudes. If the geoid doesn't include a centrifugal term, then it definitely doesn't. If it does, and is thus about equipotential from the point of view of a co-moving observer (as a geoid based on actual local measurements would pretty much have to be), then possibly it does, what with the equivalence principle and all that. Although i'm not at all sure about that - is there any particular reason to think time moves at the same rate at all points on an equipotential surface? No, probably not. And i don't even know what kind of geoid IAT uses. Oh god, this is confusing. I should not have to do general relativity to work out what bloody time it is! —Preceding unsigned comment added by 62.56.106.202 (talk) 18:54, 3 November 2008 (UTC)[reply]

Broken Links

I just saw that all of the NGA links are broken. I cannot locate any of this data on the new "enhanced" site -- it appears to be unavailable? MFago 23:52, 1 June 2006 (UTC)[reply]

Fixed. They simply changed all *.htm to *.html, and their search engine was of no help. MFago 00:04, 2 June 2006 (UTC)[reply]

Geoid Picture

Unfortunately the picture of the Geoid (actually the geoid undulation) that used to be on this page was evidently taken from the GRACE website without proper permission. Anyone have access to another similar graphic that would be useable here? The raw data for the EGM96 geoid (less detailed than GRACE, but still illustrative) is available at: NGA EGM96 data (labeled as "Geoid Height File"). Matlab can easily make a similar plot from this data, but I do not have access to this software. Anyone able to help, or have another idea?MFago 14:36, 2 June 2006 (UTC)[reply]

Possible image error

Shouldn't the local plumb lines in the image in the Description section be orthogonal to the geoid? Shinobu (talk) 12:42, 1 February 2008 (UTC)[reply]

Unclear grammar

In the first paragraph, 2nd sentence "Although the former " it's unclear what it refers to. --maye (talk) 15:35, 6 May 2009 (UTC)[reply]

Erm... help for beginners :)

"If that perfect sphere were then covered in water, the water would not be the same height everywhere. Instead, the water level would be higher or lower depending on the particular strength of gravity in that location." - so does that mean that more gravity pulls the water-level down or does it mean that more gravity collects more water above it pushing the water level up? It may seem obvious to you, but it's not to some of us here :) Clarification would be appreciated :) Malick78 (talk) 21:37, 28 June 2010 (UTC)[reply]

I agree with Malick. Could someone who understands this properly state something like "A greater height on the geoid corresponds to a stronger local gravitational field" or vice versa? I've seen online discussions about the map from Goce in which lay-people interpret the map both ways, even after reading this Wikipedia article. BruceMcAdam (talk) 12:27, 29 June 2010 (UTC)[reply]

Seems no one understands this page... ;) Malick78 (talk) 23:43, 1 July 2010 (UTC)[reply]

I'm not an expert on this, but my guess is that the level of the water joins all points of equal gravitational potential. Thus in areas where gravity is stronger, you have to go up to a greater height to achieve the same gravitational potential as a point where the gravity is weaker. Thus the water would be higher there. Muraho (talk) 10:59, 18 August 2010 (UTC)[reply]
I've removed that whole section. There is no direct relationship between the water level and the local strength of gravity. When traveling in a geodesic along the surface, the rate of change in the direction of the force of gravity determines whether the water surface locally follows a concave or convex curvature. When a heavy lump is ahead, the gravity vector moves a bit forward (compared to pointing to the centre of the Earth) and the water surface will curve up. Past the heavy lump, the vector will point a bit backward, and the water surface curves down.  --Lambiam 09:08, 2 November 2010 (UTC)[reply]

Pronunciation

How is this word pronounced? I always assumed (without really thinking about it) that it is pronounced "gee-oh-id". However, on reflection is seems more likely that it is "gee-oyd". To match ellipsoid. Is this correct? Muraho (talk) 11:00, 18 August 2010 (UTC)[reply]

According to dictionaries it is /ˈdʒiɔɪd/.  --Lambiam 08:42, 2 November 2010 (UTC)[reply]

Mathematical formulas

Does the inclusion of mathematical formulas in the section Spherical harmonics representation serve a purpose? Without giving the numerical values of the coefficients, they do not supply any actually useful information. Even if this could somehow be argued to serve some purpose, the right place for such detail would be the EGM96 article.  --Lambiam 09:29, 2 November 2010 (UTC)[reply]

New data from Goce satellite

Scientists use a geoid model to illustrate the force of gravity on Earth from data from the Goce satellite. (BBC). Can a knowledgeable editor update this article? Dr.enh (talk) 02:41, 2 April 2011 (UTC)[reply]