9 papers
A Magic Electromagnetic Field
Donald Lynden-Bell
An electromagnetic field of simple algebraic structure is simply derived. It turns out to be the G=0 limit of the charged rotating Kerr-Newman metrics. These all have gyromagnetic…
Why Do Disks Form Jets?
D Lynden-Bell
It is argued that jet modelers have given insufficient study to the natural magneto-static configurations of field wound up in the presence of a confining general pressure. Such fi…
One Mass-Radius relation for Planets, White Dwarfs and Neutron Stars
D. Lynden-Bell, J. P. O'Dwyer
We produce the simple formula for the radius R of a cold body of mass M, (4 pi rho/3)^{1/3} R = I.M^{1/3} / [1+ (M/Mp)^{2/3}], where I is one for white dwarfs with non-relativistic…
Wandering Among Newton Wonders
Donald Lynden-Bell
In the electromagnetic fields t^2 B = b(r/t), E = r x B/t trajectories of non-relativistic charged particles conserve (r-vt)^2. The transformation r'=r/t t'=1/t maps such trajector…
The Newton Wonder in Mechanics
Donald Lynden-Bell
Application of Newton's ideas from "Principia" gives many new results in mechanics. Here we explore the question ``What form of extra force will maintain the magnitude of a vector…
Rotation, Statistical Dynamics and Kinematics of Globular Clusters
Donald Lynden-Bell
Evolution with mass segregation and the evolution of the rotation of cores are both discussed for self-similar core collapse. Evolution with angular velocity proportional to the sq…