Monthly Archives: May 2017

Spinning Top – Space Odity

Posted on 2017/05/28 by arkajad

I start with quoting from Wikipedia: Peggy Annette Whitson (born February 9, 1960) is an American biochemistry researcher, NASA astronaut, and former NASA Chief Astronaut. Her first space mission was in 2002, with an extended stay aboard the International Space … Continue reading →

Posted in Uncategorized | 3 Comments

Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws

Posted on 2017/05/26 by arkajad

In the last post, Geodesics of left invariant metrics on matrix Lie groups – Part 1,we have derived Arnold’s equation – that is a half of the problem of finding geodesics on a Lie group endowed with left-invariant metric. Suppose … Continue reading →

Posted in Euler's equations, Geometry | 2 Comments

Geodesics of left invariant metrics on matrix Lie groups – Part 1

Posted on 2017/05/24 by arkajad

An elegant derivation of geodesic equations for left invariant metrics has been given by B. Kolev in his paper “Lie groups and mechanics. An introduction”. Here we will derive these equations using simple tools of matrix algebra and differential geometry, … Continue reading →

Posted in Geometry | 7 Comments