Analytical Solution of Magnetically Dominated Astrophysical Jets and Winds: Jet Launching, Acceleration, and Collimation

Understand

We present an analytical solution of a highly magnetized jet/wind flow.

• The left side of the general force-free jet/wind equation (the "pulsar" equation) is separated into a rotating and a nonrotating term.
• The two equations with either term can be solved analytically, and the two solutions match each other very well.
• Therefore, we obtain a general approximate solution of a magnetically dominated jet/wind, which covers from the nonrelativistic to relativistic regimes, with the drift velocity well matching the cold plasma velocity.