Geophysics lecture chapter 2 the earths gravitational field

... (2. 48) g(λ) = = = = GM sin2 λ − (1 + 2f sin2 λ) − 3J2 − m(1 − sin2 λ) a 2 GM (1 + J2 − m) + 2f − J2 + m sin2 λ a 2 2f − (9 /2) J2 + m GM (1 + J2 − m) + sin2 λ a2 + (3 /2) J2 − m GM (2. 53) (1 + J2 ... sin2 λ g = GM 3GJ2 M a2 − a2 (1 − f sin2 λ )2 a4 (1 − f sin2 λ)4 − aω (1 − f sin2 λ) cos2 λ sin2 λ − 2 (2. 52) 2. 2 GRAVITATIONAL POTENTIAL DUE TO NEARLY SPHERICAL BODY49 or, with th...

Ngày tải lên: 04/12/2015, 00:25

... all of opposite sign than those of the main field This indicates a weakening of the dipole field From the numbers in CHAPTER THE MAGNETIC FIELD OF THE EARTH 98 Table 7.1 of Stacey and eq (3. 43) ... solution of the vector diffusion equation is z z H = H0 e− δ ei(ωt− δ ) (3. 65) CHAPTER THE MAGNETIC FIELD OF THE EARTH 104 with δ= ωσµ0 (3. 66) the sk...

Ngày tải lên: 04/12/2015, 00:25

... Pb 204 Pb � = 4.46 (1. 36) 16 CHAPTER THE EARTH IN THE SOLAR SYSTEM The age information is contained in the slope, M , using only isotopes of Pb The value of 235 U/238 U is 1/ 137.88, and this ratio ... (1. 1) in terms of the mass of the sun and doing so yields L = mr2 ω = (GMs )1/ 2 mr1/2 (1. 6) By integrating (1. 6) over all the planets we find that while the...

Ngày tải lên: 04/12/2015, 00:25

... 1 2 1 9 99 9 7 7 1 2 1 9 9 7 7 2 Number of circulations = values of matrix K 2 2 2 8 8 2 2 8 8 1 8 8 1 8 88 1 8 8 8 Ordinal index of point XYZ 2 2 Values of matrix NB Fig 2. 2.3a: Computation of ... Minimum curvature method 23 Fig 2. 4.2c: Interpolation of the SHAPE data set using the Kriging method Fig 2. 4.2d: Interpolation of the SHAPE data set usi...

Ngày tải lên: 21/01/2014, 07:20

... follows the scheme “A.Bcccc[-ddd]-X” version “y.z” where “A” is a letter that represents the name of the 18 CHAPTER THE HISTORY OF THE IMS STANDARDIZATION TSG that delivers the document, “B” can be ... versions of the IMS: the 3GPP IMS and the IMS as extended by OMA Having a single organization managing and maintaining the specifications of the IMS...

Ngày tải lên: 01/08/2014, 17:21

... using Eq 4. 49 and Eq 4. 38, Eq 4. 50 (the equation of motion) becomes : ω2Φ = ω Ψ = −α2 ∇ · u −β ∇ × u We thus easily get : (4. 51) (4. 52) CHAPTER SEISMOLOGY 152 (A) (B) Figure by MIT OCW Figure 4. 3: ... rotational component of the displacement field by comparing Eq 4. 36 and 4. 42 It is often much easier to solve the wave equations (4. 41) and (4. 43) than to solve the equation o...

Ngày tải lên: 04/12/2015, 00:25

... change in volume dρ (5. 53) Substitution of (5. 52) and (5. 53) in (5. 51) and using (5. 48) gives the AdamsWilliamson equation: dρ =− dr � ρ κS � ρGm(r) ρGm(r) =− r2 Φr2 (5. 54) 5. 6 THE UPPER MANTLE ... −k (5. 14) with ∂ erf(η) ∂η = ∂ √ ∂η π �η ∂ √ π ∂η �η e−u du = 2 e−u du = √ e−η π (5. 15) so that q = −k (Tm − Ts ) −η2 √ e πκt (5. 16) 204 CHAPTER Age (Ma) GEODYNAMICS 100 Depth (km) 3...

Ngày tải lên: 04/12/2015, 00:25

... Lecture Notes: Introduction to Finite Element Method Chapter Introduction Row and Column Vectors v = [1 v v2 v3 ]  w1    w = w  w   3 ... system of equations is to found the inverse of the coefficient matrix © 1998 Yijun Liu, University of Cincinnati 11 Lecture Notes: Introduction to Finite Element Method Chapter Introduction Solution ... det   =...

Ngày tải lên: 17/10/2013, 11:15

... interleaved on the network – Second, segmentation can increase the reliability of network communications H c vi n m ng Bách khoa - Website: www.bkacad.com Communicating the Messages • • The downside ... www.bkacad.com Components of the Network • Services and processes H c vi n m ng Bách khoa - Website: www.bkacad.com End Devices and their Role on the Network • T...

Ngày tải lên: 12/12/2013, 14:15

... silk stockings on!" whispered Jessie, bending over her geography also "And what little feet! I never saw such little feet." "Oh," sniffed Lavinia, spitefully, "that is the way her slippers are ... to like this odd little girl who had such an intelligent small face and such perfect manners She had taken care of children before who were not so polite Sara was a very fine little person,...

Ngày tải lên: 14/12/2013, 21:15

... sorts of delicious expeditions, and they would make a world of fun of him for having to work - the very thought of it burnt him like fire He got out his worldly wealth and examined it bits of ... an exchange of work, maybe, but not half enough to buy so much as half an hour of pure freedom So he returned his straitened means to his pocket, and gave up the idea of trying -29 -...

Ngày tải lên: 15/12/2013, 07:15

... the garden fence, and by and by fetched up on the steep top of the hill the other side of the house Tom said he slipped Jim's hat off of his head and it on a limb right over him, and Jim stirred ... out of his own head He said, some of it, but the rest was out of pirate-books and robber-books, and every gang that was high-toned had it Some thought it would be good to kill the FAMI...

Ngày tải lên: 15/12/2013, 09:15

... The Insider’s Guide to PR: Chapter ARE YOU CUT OUT TO BE A PR CONSULTANT? Imagine you re working in a PR consultancy Do the following light-hearted quiz to determine whether you have the ... ideas, it means that you don’t want to work for him anyway s Page The Insider’s Guide to PR: Chapter During the presentation you get a little nervous How yo...

Ngày tải lên: 23/12/2013, 00:15

... "-//OASIS//DTD DocBook V3.1//EN"> This declaration indicates that the root element, which is the first element in the hierarchical structure of the document, will be and that the DTD used will be the ... "chap2.sgm"> ]> These declarations form what is known as the internal subset The declarations stored in the file referenced by the public or system identifier in the...

Ngày tải lên: 21/01/2014, 06:20

... example, the browser is given the following URL: http://hypothetical.ora.com/ The browser interprets the URL as follows: http:// In the first part of the URL, you told the browser to use HTTP, the ... beginning with the string User-Agent, the client identifies itself as Mozilla (Netscape) version 3.0, running on Windows NT The fourth line tells the server what the...

Ngày tải lên: 26/01/2014, 07:20