Global Gravity Field Modeling from Satellite-to-Satellite by Majid Naeimi, Jakob Flury

By Majid Naeimi, Jakob Flury

This booklet presents a legitimate theoretical foundation for the the several gravity box restoration equipment and the numerics of satellite-to-satellite monitoring facts. It represents lectures given on the ‘Wilhelm and Else Heraeus Autumn tuition’ in undesirable Honnef, Germany, October 4-9, 2015. The emphasis of the varsity used to be on delivering a valid theoretical foundation for the various gravity box restoration tools and the numerics of knowledge research. The methods coated listed here are the variational equations (classical approach), the acceleration method and the power stability strategy, all of that are used for international gravity box restoration at the foundation of satellite tv for pc observations. the idea of parameter estimation in satellite tv for pc gravimetry and ideas for orbit selection also are integrated. The ebook courses readers via a large variety of themes in satellite tv for pc gravimetry, supplemented by means of the mandatory theoretical history and numerical examples. whereas it presents a finished assessment for these readers who're already accustomed to satellite tv for pc gravity info processing, it additionally deals a vital reference advisor for graduate and undergraduate scholars drawn to this field.

Show description

Read or Download Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data PDF

Best natural resources books

Empire Forestry and the Origins of Environmentalism

Environmentalism all started with the institution of the 1st empire wooded area in 1855 in British India. in the course of the moment 1/2 the 19th century, over ten in step with cent of the land floor of the earth grew to become secure as a public belief. The empire forestry flow unfold via India, Africa, Australia, New Zealand, Canada, the U.

Fluid Flow and Solute Movement in Sandstones: the Onshore UK Permo-Triassic Red Bed Sequence (Geological Society Special Publication No. 263)

Sandstone aquifers are universal around the globe: they comprise an important share of the Earth's clean water provides. despite the fact that, as a result of their textural complexity and the widespread incidence of either matrix and fracture stream, prediction of stream and pollutant migration continues to be a substantial problem.

Participation in Fisheries Governance (Reviews: Methods and Technologies in Fish Biology and Fisheries)

The imperative message of the ebook is that stakeholder participation within the governance of fisheries is useful, yet confers tasks in addition to rights: all stakeholders have a public responsibility to behave as stewards of the marine surroundings. With chapters by means of major students and members in fisheries governance, this booklet recounts modern concepts of public participation, and develops a brand new proposal of environmental stewardship as a kind of fisheries governance.

Energy Efficiency: Benefits for Environment and Society

This ebook discusses how power potency merits the worldwide atmosphere, nationwide strength safety, neighborhood toxins mitigation, average source conservation, and software invoice relief. moreover, this publication offers many hands-on talents and data to spot and advance strength potency initiatives.

Additional info for Global Gravity Field Modeling from Satellite-to-Satellite Tracking Data

Example text

It is the model which has been considered when we discussed partitioning into global and local parameters with ⎡ (l) ⎤ ⎡ (l) (c) ⎤ x1 A1 0 . . ⎥ E(y) = E ⎣. ⎦ = ⎣ . . . . . . ⎦ ⎢ (l) ⎦ ⎣ x k yk 0 . . 32) ⎡ ⎤ ⎡ 2 −1 ⎤ y1 σ1 P1 ⎦. ··· D(y) = D ⎣. ⎦ = ⎣ −1 2 yk σk Pk In other words, next to x we seek σ = (σ12 , . . , σk2 )T . It is clear that this is a difficult problem. For example, the estimates for σ have to be strictly positive. It is further not obvious under which circumstances the problem has full rank.

MATLAB functions: function [Pnm] = calculatePnm(theta, nmax ) Calculation of normalized Legendre Functions using stable recursion formulas. Input • theta: co-latitude at which the Legendre Functions are computed. The dimension is 1 × 1. [rad] • nmax : maximum degree up to which the Legendre Functions are computed. The dimension is 1 × 1. Output • Pnm: n max × n max matrix containing the normalized Legendre functions. function [cnm , snm ] = sortCoefficients(x, nmax ) Divides the parameter vector x into two triangular matrix for cosine spherical harmonic coefficients cnm and sine spherical harmonic coefficients snm .

Output • 2D-plot of the normal equation matrix. function showParameters(x,nmax ,titleString) Visualization of the estimated parameters in a triangular plot. , sn max ,n max . The dimension n is the number of the parameters. • nmax : maximum degree up to which the parameters are estimated. The dimension is 1 × 1. Output • 2D-plot of the spherical harmonic coefficients. function showSqrtDegreeVariances(x,nmax ,titleString) Computation and visualization of the square root of the degree variances from degree 3 to degree n max .

Download PDF sample

Rated 4.80 of 5 – based on 10 votes