Geophysics, Lecture Notes- Physics - Prof Gavin Bell 8

# Geophysics, Lecture Notes- Physics - Prof Gavin Bell 8 -...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PX266 Geophysics (2010/11) Lecture 6 Handout – Gravity Due to Extended Bodies and Gravity Anomalies Dr. Gavin Bell Gravity due to a spherical shell Calculate gravitational potential at P – initially P is outside the shell. Area of strip = d b b sin 2 Mass of strip = d b t sin 2 2 Contribution to gravitational potential at P : l d b t G dV sin 2 2 Integrate to get V ( r ) (adding potential – scalar): 2 sin 2 ) ( l d b t G r V Cosine rule: cos 2 2 2 2 br b r l Differentiate cosine rule: br dl l d d br dl l sin sin 2 2 Plug this into the definite integral and change the limits carefully: b r b r b r b r l br b Gt br dl b Gt r V 2 2 2 2 ) ( b sin Spherical shell: thickness t , radius b, density P O b Circular strip, width = b d Q l |OP| = r d...
View Full Document

## This note was uploaded on 09/12/2011 for the course ECON 102 taught by Professor Gavinbell during the Spring '11 term at LSE.

### Page1 / 4

Geophysics, Lecture Notes- Physics - Prof Gavin Bell 8 -...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online