A modified Newton-Raphson analysis of flight measurements of the trailing vortices of a heavy jet transport

A modified Newton-Raphson method has been used to determine the parameters in equations describing the vortex flow to obtain a best match with flight measurements of the flow behind the C-5A airplane. The flight measurements were made using a specially instrumented T-33 airplane which passed as closely as possible to the centers of the trailing vortices at several distances behind the C-5A airplane. The flight measurements were transformed to flow velocity relative to an inertial frame of reference. The assumed form of the flow consisted of the superposition of two counterrotating, finite core vortices. The positions of the vortex centers, their total circulation, the effective eddy viscosity and measurement bias were the parameters adjusted. The assumed form of vortex flow fit well the measured velocities for the numerous sets of data, both flaps up and down for the C-5A airplane. The resulting values of total circulation, however, were about two-thirds that expected of a wing with an elliptical loading. A partial explanation of the less than expected circulation is a dip in the spanwise lift distribution at the airplane's center line. The distance between the trailing vortices at the smallest times encountered is somewhat less than that expected for an elliptical wing loading

Can They Do That?: The Limits of Governmental Power Over Medical Treatment

The government’s power over health care is strongest when health care treatments and precautions to protect the public welfare, such as quarantines and vaccinations, are at issue. Governmental power over health care decisions weakens when an individual’s health care decisions are in question. When health care decisions would only affect the individual making them, the government’s power is even less. This article argues that government agents must be cautious in making health care determinations for others and that they should aim to protect an individual’s right to self-determination so long as those choices do not pose a threat to the health and well-being of others