problem_6 - AST 822: Electromagnetic Radiation Problem Set...

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

View Full Document Right Arrow Icon
AST 822: Electromagnetic Radiation Problem Set 6: due Wednesday, November 23 1) A highly relativistic electron initially has Lorentz factor γ 0 À 1. It is moving in a magnetic Feld of constant ±ux density ~ B with a pitch angle α . What is γ ( t ) as the electron radiates away its energy in the form of synchrotron radiation? What is t 1 / 2 , the time required for the electron to radiate away half its initial energy? If α = π/ 2 and B = 10 - 6 gauss (a typical interstellar value), for what values of γ 0 is t 1 / 2 10 Gyr (the approximate age of the Galaxy)? 2) A high energy cosmic ray proton is emitted at the center of the Galaxy, then starts to orbit in the Galaxy’s magnetic Feld, of strength B = 10 - 6 gauss. a) If the proton is on a circular orbit, what is the orbital radius as a function of the proton energy ² ? At what energy is the orbital radius equal to the distance of the Sun from the Galactic center? b) If the Galactic center emitted cosmic ray protons with energy
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/17/2008 for the course ASTRO 822 taught by Professor Ryden during the Fall '05 term at Ohio State.

Page1 / 2

problem_6 - AST 822: Electromagnetic Radiation Problem Set...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online