Abstract: The invention incorporates an eccentric conformance module that determines time and position for a satellite. The eccentric conformance module eliminates the necessity of computing an eccentric anomaly for non-circular orbits by relying on a comparison of a circular orbit and application of a general power equation. The eccentric conformance module produces coordinates in a reference frame relating to an eccentric conformance model. The invention resolves these coordinates through transformation to a common reference frame by computing the transformation between the conformance displacement angle and the true anomaly. Calculations derived from the eccentric conformance module are applicable for ground-based and space-based systems. Applications include determination of line-of-sight pointing for antennas and predictions of satellite positions for intercept or rendezvous transfers and for safe orbit trajectories. All such computations are simplified with the use of the eccentric conformance method.

Abstract: A process is described herein for regeneration of spent, coke contaminated fluidized cracking catalyst by burning coke therefrom with a molecular oxygen containing regeneration gas in a fluidized dense phase bed, and for burning substantially all carbon monoxide formed to carbon dioxide. A method is provided for supplying additional oxygen to a dilute phase above the dense phase bed for combustion of carbon monoxide. Additionally, a method is provided for transferring heat from the dilute phase back to the bottom of the fluidized dense phase bed.

Abstract: Apparatus for regeneration of spent, coke contaminated fluidized cracking catalyst by burning coke therefrom with a molecular oxygen containing regeneration gas in a fluidized dense phase bed, and for burning substantially all carbon monoxide to carbon dioxide. Means are provided for transferring heat from the top to the bottom of the regeneration apparatus, employing catalyst as the transfer medium. Also, conical standpipe means is provided for deaerating regenerated catalyst.