AH2914 Physical Geodesy, 7.5c
Spring semester
2011
Physical geodesy concerns studies of the gravity field of the earth and in
particular the geoid which serves as a reference surface for height
determination. Precise information on the geoid is needed to transform
GPSdetermined ellipsoidal heights into heights above the mean sea level (the
geoid). Knowledge on the earth's gravity field is also important for accurate
determination of satellite orbits.
As a natural science, physical geodesy is directly associated with
studies of the whole earth system including the solid earth, the oceans and
the atmosphere. For instance, precise geoid information can be used to model
global ocean circulations so that one can better understand the process and
mechanism of global climate change as a part of the general global changes.
This course
in physical geodesy consists of 9 lectures and 8 practical exercises (including one
field exercise on gravity measurements). Course participants are assumed to know basic surveying
techniques and be familiar with at least one programming language (e.g. C++,
Java, Matlab, Pascal or Fortran).
A complete
description of the course's aim, contents, requirements, etc, can be found at
KTH:s online Study
handbook.
1. Course Literature
Required
literature:
Fan, H. (2010). Theoretical Geodesy. KTH
Fan, H. (2010). Exercise Problems in Physical Geodesy. KTH.
Other optional literature:
Heiskanen and Moritz. (1967). Physical Geodesy.
Moritz. (1980). Advanced Physical Geodesy.
Sjöberg (2003) A general model of modifying Stokes’s formula and its least
squares solution. J Geod 77:459464.
2. Requirements
To pass the
course, students must pass one written examination (TEN1: 4,5c) and
complete all exercises (LAB1: 3c). If interested, students
may check old exam questions from 2006
and 2007.
3. Time Schedule ( L = lecture, E
= exercise, TEN = Written exam)
L

E

Date

Day

Time

Room

Topics

Chapters

L1


110321

Mon

1315

L31

Introduction. Gravity field and gravity measurements

3.2.1, 3.2.2


E1

110325

Fri

1317

L31

Gravity measurements

3.2.1, 3.2.2

L2


110328

Mon

1012

L31

Gravitation fields of simple mass distributions

3.1.1


E2



1317

GEO

Gravitation fields of simple mass distributions

3.1.1

L3


110404

Mon

0912

L31

Laplace's equation and spherical harmonics

3.1.4, 3.1.5


E3



1317

GEO

Numerical computation of Legendre functions

3.1.4, 3.1.5

L4


110408

Fri

1012

L31

Normal gravity field and anomalous gravity field

3.2.3,3.2.5


E4



1317

GEO

Gravity field, normal field and anomalous field

3.2.3,3.2.5

L5


110426

Tues

1012

L44

Global gravity field in harmonic expansions

3.3


E5

110429

Fri

1317

GEO

Geoid computation using a global gravitational model

3.3
*

L6


110502

Mon

1517

L31

Poisson's integral, Stokes' and Vening Meinesz'
formula.

3.4


E6

110503

Tue

0912

GEO

Geoid computation using Stokes' formula

3.4

L7


110505

Thur

1012

L31

Gravity reduction

3.4.7


E7



1316

GEO

Gravity reduction. Computation of terrain corrections

3.4.7

L8


110512

Thur

1012

L31

Truncation errors of Stokes' formula

3.4.6, 3.5.4


E8



1316

GEO

Computation of truncation errors.
Geoid computation using a combination method

3.4.6, 3.5.4

L9


110518

Wedn

0810

L31

KTH's
modification method. Additive corrections.


L10


110519

Thur

1012

L31

Molodenskii's theory. Bjerhammar's method.
Collocation

3.5.13

TEN1


110527

Fri

0913

M31

Written examination

3

TEN1


august

2011



Reexamination

3

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programme's curriculum page
Last updated by Huaan Fan 20110322.
