Bending waves in Saturn's rings

We investigate certain brightness variations seen in Saturn's A ring and find them to be due to vertical corrugations of the local ring plane caused by a spiral bending wave. This wave is resonantly excited by Mimas and propagates inward via the collective gravity of the ring particles. B. A. Smith et al. [Science212, 163–191 (1981)] had previously associated vertical relief with this feature due to its observed azimuthal variations and its proximity to an inclination resonance with Mimas. We develop the theory of forced bending waves, some aspects of which have been treated in the galactic context by C. Hunter and A. Toomre [Astrophys. J.155, 747–776 (1969)] and by G. Bertin and J.W.-K. Mark [Astron. Astrophys.88, 289–297 (1980)]. Our theory is in good agreement with the observations. In particular, the presence of these bending waves may resolve the conflict between ground-based estimates of 1–2 km for the global ring thickness [e.g., A. Brahic and B. Sicardy, Nature289, 447–450 (1981)] and Voyager stellar occultation measurements of <200 m for the local ring thickness [A. L. Lane et al., Science215, 537–543 (1982); E. A. Marouf and G. L. Tyler, Science217, 243–245 (1982)].     

Characteristics and Frequency of Weak Stellar Impulses of the Oort Cloud

We have developed a model of the response of the outer Oort cloud of comets to simultaneous tidal perturbations of the adiabatic galactic force and a stellar impulse. The six-dimensional phase space of near-parabolic comet orbital elements has been subdivided into cells. A mapping of the evolution of these elements from beyond the loss cylinder boundary into the inner planetary region over the course of a single orbit is possible. This is done by treating each perturbation separately, and in combination, during a time interval of 5 Myr. We then obtain the time dependence of a wide range of observable comet flux characteristics, which provides a fingerprint of the dynamics. These include the flux distributions of energy, perihelion distance, major axis orientation, and angular momentum orientation. Correlations between these variables are also determined. We show that substantive errors occur if one superposes the separately obtained flux results of the galactic tide and the stellar impulse rather than superposing the tidal and impulsive perturbations in a single analysis. Detailed illustrations are given for an example case where the stellar mass and relative velocity have the ratio M∗/V_rel=0.043 M⊙/km s⁻¹ and the solar impact parameter is 45,000 AU. This case has features similar to the impending Gliese 710 impulse with the impact parameter selected to be close to the low end of the predicted range. We find that the peak in the observable comet flux exceeds that due to the galactic tide alone by ≈41%. We also present results for the time dependence of the flux enhancements and for the mean encounter frequency of weak stellar impulse events as functions of M∗/V_rel and solar impact parameter.     

Analysis of the origins and implications of the18O content of stratospheric water vapor

Factors influencing the¹⁸O content of stratospheric H₂O are reviewed in order to provide a theoretical framework for the interpretation of measurements of this quantity, which are now becoming available. Depletions in¹⁸O of 5–10% in stratospheric H₂O are expected based on the known correlation between that of D and¹⁸O in tropospheric H₂O and observed measurements of large (typically 50%) depletions of D in stratospheric H₂O. H₂O formed in the stratosphere as a result of oxidation of CH₄ can be expected to reflect primarily the¹⁸O content of stratospheric O₂, which is the same as that of tropospheric O₂ (slightly enhanced with respect to standard mean ocean water). Thus, a reduction in the¹⁸O depletion is expected with increasing altitude, but not a large enhancement in¹⁸O in upper stratospheric H₂O as found in recent far infrared measurements. The observed large enhancement of¹⁸O in stratospheric O₃ is not expected to be reflected in stratospheric H₂O. Necessary laboratory data for the improved quantification of these effects are reviewed.     

Effect of magnetic fields on leveling

Normally, the establishment of national leveling networks was for the purpose of supporting national mapping programs of engineering projects. They are also used as a base on which to establish national gravity networks. During recent years, much study and investigation have been done concerning the characteristics and capabilities of these networks to provide data for determining height velocity changes due to crustal movements.

In the early 1960's the use of automatic (compensator) leveling instruments became common for establishing precise geodetic leveling networks. In 1981, at FIG, Montreux, Professor W.E. Rumpt and Mr. H. Meurisch reported the influence of DC-AC magnetic fields on the line of sight of compensator instruments. As a result, several manufacturers modified their automatic leveling instruments to minimize the AC-DC magnetic effect. Wild Heerbrugg, whose unmodified NA-2 level was least affected by magnetic fields, further reduced the effect by shielding it's compensator.

At the very least, the impact of this discovery will cause national geodetic agencies to modify their existing automatic leveling equipment and possibly embark on a releveling or reanalysis of their existing network. When studying micro/macro earth crustal movements, the geodesist must take this new factor into account in analysing data.     

Parameterization of subsurface heating for soil and concrete using net radiation data

The variability of surface sensible heat flux depends strongly on the heating rate of the material beneath the surface. This variability is expected to be large in urban areas where the surfaces are layered with a variety of man-made materials. Parameterization of the ground heat storage as a function of surface materials is presented based on analyses of data obtained during the U.S. Environmental Protection Agency's Regional Air Pollution Study conducted in St. Louis, Missouri. Ground heat flux data are derived from observations of surface and subsurface temperatures for a soil layer and for concrete slabs resting on soil. The data show that the presence of the concrete slabs increases the ground storage term relative to that for soil alone. The ground storage and sensible heat flux terms for a blackened concrete slab are larger than for an unpainted concrete slab. For the concrete surfaces, the ratio of ground storage to net radiation is >1 at night and <1 during the day. This ratio is discontinuous at sunrise and sunset transition periods. For soil, the ratio shows similar temporal behavior except that on average, there is a smoother transition at sunrise. Simple mathematical expressions giving the ratio of ground heat storage to net radiation as a function of time are presented.Now with Enviroplan, Incorporated, West Orange, NJ 07052, U.S.A.On assignment from the National Oceanic and Atmospheric Administration, U.S. Department of Commerce.