Saturn’s Rings at True Opposition

Localization at prime ideals in bounded rings

In this paper we investigate the sufficiency criteria which guarantee the classical localization of a bounded ring at its prime ideals.

Metastable Black Saturns Combining Everything (1) Becomes

Black Saturns have multiple horizons and so offer a testing ground for the ideas of black hole thermodynamics. In this note, we numerically scan for phases that are in equilibrium by extremizing total entropy in the 2-dimensional moduli space of stationary, singly rotating black Saturns with fixed total mass and angular momentum. On top of the known TH = TR, ΩH = ΩR configurations, we find phas...

The opposition effect in Saturn’s rings seen by Cassini/ISS: I. Morphology of phase curves

1 The Cassini cameras have captured the opposition effect in Saturn’s rings with a high 2 radial resolution at phase angles down to 0.01 in the entire main ring system. We de3 rive phase functions from 0.01 to 25 of phase angle in the Wide-Angle Camera clear 4 filters with a central wavelength λcl=0.611 μm and phase functions from 0.001 o to 25 of 5 phase angle in the Narrow-Angle and Wide-Angl...

Rings of functions with integer derivatives at x=1

Phase light curves for extrasolar Jupiters and Saturns

We predict how a remote observer would see the brightness variations of giant planets similar to those in our Solar System as they orbit their central stars. We model the geometry of Jupiter, Saturn and Saturn’s rings for varying orbital and viewing parameters. Scattering properties for the planets and rings at wavelenghts 0.6-0.7 microns are assumed to follow these observed by Pioneer and Voya...