Remarkable progress in understanding the dynamics of the planets has been possible thanks to their relatively small masses and the overwhelming dominance of the Sun. The figure below shows the relative masses of the Sun, planets and some natural satellites, taking the mass of Earth to be unity.

## Archive for March, 2014

### Solar System Perturbations

Published March 27, 2014 Occasional Leave a CommentTags: Astronomy, Mechanics

### The Unity of Mathematics

Published March 20, 2014 Irish Times Leave a CommentTags: Algebra, Analysis, Geometry, Number Theory

This week, *That’s Maths* in *The Irish Times* ( TM041 ) is about an ambitious program to unify mathematics.

Mathematics expands! Results once proven to be true remain forever true. They are not displaced by subsequent results, but absorbed in an ever-growing theoretical web. Thus, it is increasingly difficult for any individual mathematician to have a comprehensive understanding of even a single field of mathematics: the web of knowledge grows so fast that no-one can master it all.

### The Langlands Program

Published March 13, 2014 Occasional Leave a CommentTags: Algebra, Analysis, Arithmetic, Group Theory, Number Theory

An ambitious programme to unify disparate areas of mathematics was set out some fifty years ago by Robert Langlands of the Institute for Advanced Study in Princeton. The “Langlands Program” (LP) is a set of deep conjectures that attempt to build bridges between certain algebraic and analytical objects.

### Simulating the Future Climate

Published March 6, 2014 Irish Times Leave a CommentTags: Computer Science, Geophysics, Numerical Analysis

The Earth’s climate is changing, and the consequences may be very grave. This week, *That’s Maths* in *The Irish Times* ( TM040 ) is about computer models for simulating and predicting the future climate.