Application of particle dynamics to derive a general circulation in low latitudes

Summary In Section 1 are set out the reasons for the use of particle dynamics in this investigation. In Section 2 are solved the equations of motion for particles constrained to move along a horizontal surface under the action of a constant meridional pressure gradient force to obtain (a) velocities in spherical polar co-ordinates with naturally varying Coriolis terms, and (b) velocities and trajectories in plane cartesian co-ordinates in which the Coriolis parameter is assumed constant. Results obtained in each system are compared, showing that the plane co-ordinates as used are not significantly inaccurate, and trajectories of air particles obtained by application significantly inaccurate, and trajectories of air particles obtained by application of this system in steps of 5° of latitude are plotted to show the production of belts of convergence at some distance from the equator under the action of meridional pressure gradient forces.The approximation of these idealised particle trajectories to actual streamlines of the air flow are discussed in Section 3, and the concept of the production of belts of convergence is used to formulate a theory of formation and maintenance of the sub-tropical anticyclones. In Section 4 this theory is applied to observed average temperature data and the calculated results compared with observed average pressure data. A possible synoptic application of the theory is then indicated in Section 5.

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Zusammenfassung Im ersten Abschnitt werden Gründe für die Anwendung der Dynamik von Massenteilchen in der vorliegenden Arbeit dargelegt. Abschnitt 2 enthält die Lösungen der Gleichungen für die Bewegung von Massenteilchen auf horizontalen Flächen unter der Einwirkung eines konstanten meridionalen Druckgradienten. Die Lösungen ergeben a) die Geschwindigkeiten in sphärischen Polarkoordinaten mit variablem Coriolis-Term (entsprechend natürlichen Verhältnissen) und b) Geschwindigkeiten und Trajektorien in ebenen kartesischen Koodinaten in denen der Coriolis-Parameter als konstant angenommen wird. Die Ergebnisse für beide Koordinatensysteme werden verglichen und es zeigt sich, daß bei Verwendung der ebenen Koordinaten keine wesentlichen Ungenauigkeiten auftreten. Zeichnet man schrittweise von 5 zu 5° (Fig. 1) die Trajektorien der Luftteilchen, so ergeben sich als Folge der meridionalen Druckgradienten Konvergenzzonen in einigem Abstand vom Äquator.Die Annäherung dieser idealisierten Trajektorien an tatsächliche Stromlinien der Luft wird in Abschnitt3 diskutiert. An Hand der Vorstellungen von der Entstehung der Konvergenzzonen wird eine Theorie der Entstehung und Erhaltung subtropischer Antizyklonen gegeben. Im vierten Abschnitt wird diese Theorie auf beobachtete Mitteltemperaturen angewendet und die Ergebnisse der Berechnung werden mit beobachteten mittleren Luftdruckwerten verglichen. Auf eine mögliche synoptische Anwendung der vorliegenden Ergebnisse wird in Abschnitt 5 hingewiesen.

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Résumé La première partie contient les motifs de l'emploi de la dynamique de points pesants dans la présente étude. La deuxième partie donne les solutions des équations du mouvement de points pesants sur des surfaces horizontales sous l'effet d'un gradient méridien constant. Ces solutions fournissent les vitesses en coordonnées polaires sphériques avec un terme Coriolis variable, ainsi que les vitesses et les trajectoires en coordonnées cartésiennes planes en admettant un paramètre de Coriolis constant. On compare les résultats pour les deux systèmes de coordonnées et l'on constate que l'emploi des coordonnées planes n'introduit pas d'erreurs appréciables. Si l'on dessine les trajectoires de 5 en 5 degrés on voit apparaître des zones de convergence à quelque distance de l'équateur par suite des gradients méridiens.Dans la troisième partie on discute la similitude plus ou moins grande de ces trajectoires idéalisées avec les lignes de courant réelles. Parant de l'origine possible des zones de convergence, on établit une théorie de l'origine et du maintien des anticyclones subtropicaux. Dans la quatrième partie on applique cette théorie aux températures moyennes observées et l'on compare les résultats avec les valeurs moyennes observées de la pression. Dans la cinquième partie enfin on montre l'application possible des résultats obtenus à la synoptique.

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With 1 Figure.

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This paper is published with the permission of the Director of the meteorological Office.     

Martian craters from earth

Martian craters were evidently observed and described by E. E. Barnard in 1892–1893 and by John E. Mellish in 1915.     

An analytical iterative algorithm for the prediction of special satellite orbit points with the Brouwer orbit theory

Employing a direct recursive algorithm in relation with analytical theories will yield a considerable saving in computer time, as opposed to simulating a point by point integration through repeated evaluations of the orbit theory. As a case in point, we shall compute the set of osculating orbiting elements corresponding to special events within the revolution of an artificial satellite.     

Temperature minimum heating in solar flares by resistive dissipation of Alfvén waves

We examine the possibility that the strong heating produced at temperature-minimum levels during solar flares is due to resistive dissipation of Alfvén waves generated by the primary energy release process in the corona. It is shown how, for suitable parameters, these waves can carry their energy essentially undamped into the temperature-minimum layers and can then produce a degree of heating consistent with observations.Also Department of Applied Physics, Stanford University.     

Impact of Climate, Moisture Regime, and Nutrient Regime on the Productivity of Douglas-Fir in Coastal British Columbia, Canada

Future climate change is expected to have many impacts on forest ecosystems. It is important to have some understanding of these impacts in order to make informed forest management decisions. A major consideration in making forest management decisions is the productivity of a site, as measured by site index. In this study, I relate Douglas-fir site index to accumulated growing degree-days greater than 5^°C (DD5), as well as to soil moisture and nutrient regime. This allows the impact of climate change on forest productivity to be estimated. A two step approach was followed. The first step derived models to estimate various climate variables to latitude, longitude, and elevation using data from climate stations. Then, these climate variables were used along with soil moisture and nutrient data to predict site index for the site index plots. A two step approach was taken because climatic data were not available for the site index plots. The trend was for site index to increase with both increasing soil moisture and nutrients, although the site index decreased on the wetter sites. Site index also increased with DD5 at the rate of 1.2 m for every increase of 100 units in DD5. These models can be used together to evaluate the impact of various climate change scenarios on site index.     

Transformations of mercury, iron, and sulfur during the reductive dissolution of iron oxyhydroxide by sulfide

Methylmercury can accumulate in fish to concentrations unhealthy for humans and other predatory mammals. Most sources of mercury (Hg) emit inorganic species to the environment. Therefore, ecological harm occurs when inorganic Hg is converted to methylmercury. Sulfate- and iron-reducing bacteria (SRB and FeRB) methylate Hg, but the effects of processes involving oxidized and reduced forms of sulfur and iron on the reactivity of Hg, including the propensity of inorganic Hg to be methylated, are poorly understood. Under abiotic conditions, using a laboratory flow reactor, bisulfide (HS⁻) was added at 40 to 250 μM h⁻¹ to 5 g L⁻¹ goethite (α-FeOOH) suspensions to which Hg(II) was adsorbed (30-100 nmol m⁻²) at pH 7.5. Dissolved Hg initially decreased from 10³ or 10⁴ nM (depending on initial conditions) to 10⁻¹ nM, during which the concentration of Hg(II) adsorbed to goethite decreased by 80% and metacinnabar (β-HgS_(s)) formed, based on identification using Hg L_III-edge extended X-ray absorption fine structure (EXAFS) spectroscopic analysis. The apparent coordination of oxygens surrounding Hg(II), measured with EXAFS spectroscopy, increased during one flow experiment, suggesting desorption of monodentate-bound Hg(II) while bidentate-bound Hg(II) persisted on the goethite surface. Further sulfidation increased dissolved Hg concentrations by one to two orders of magnitude (0.5 to 10 nM or 30 nM), suggesting that byproducts of bisulfide oxidation and Fe(III) reduction, primarily polysulfide and potentially Fe(II), enhanced the dissolution of β-HgS_(s) and/or desorption of Hg(II). Rapid accumulation of Fe(II) in the solid phase (up to 40 μmol g⁻¹) coincided with faster elevation of dissolved Hg concentrations. Fe(II) served as a proxy for elemental sulfur [S(0)], as S(0) was the dominant bisulfide oxidation product coupled to Fe(III) reduction, based on sulfur K-edge X-ray absorption near edge structure (XANES) spectroscopy. In one experiment, dissolved Hg concentrations tracked those of all sulfide species [S(-II)]. These results suggest that S(-II) reacted with S(0) to form polysulfide, which then caused the dissolution of β-HgS_(s). A secondary Fe-bearing phase resembling poorly formed green rust was observed in sulfidized solids with scanning electron microscopy, although there was no clear evidence that either surface-bound or mineralized Fe(II) strongly affected Hg speciation. Examination of interrelated processes involving S(-II) and Fe(III) revealed new modes of Hg solubilization previously not considered in Hg reactivity models.     

The kinematics of the ionized gas in the Circinus galaxy

The TAURUS-2 Fabry–Perot interferometer, mounted on the 3.9-m Anglo-Australian Telescope, has been used to observe the Circinus galaxy. We have mapped the intensity and velocity distribution of the ionized hydrogen in the galaxy using the Balmer series Hα spectral line.
The semiresolved core (observed with a seeing disc of 30 pc) appears amorphous in shape, which is commonly observed in Seyfert 2 galaxies. Its peak coincides with the core position measured in the radio continuum, suggesting that ionized gas surrounds a non-thermal source.
A circumnuclear ring or spiral of radius 220 pc and a rotational velocity of 350 km s⁻¹ (assuming circular motions) surrounds the core. The inclination angle of this feature, i =40°±10°, is less than that of the previously observed radio continuum disc. The velocity channel maps obtained for the Hα ring show that the kinematics resemble those of a rotating ring and the intensity displays a complex structure indicative of several, unresolved, H II regions. We believe the ring to represent a circumnuclear starburst.
Our Hα data also show the presence of the previously detected [O III ] ionization cone to the north-west of the core, measuring more than 400 pc in length. We suggest that the ionization cone lies in a different plane from that of the starburst ring and is directed away from us. Several kinematic components of the core are derived and we calculate an outflow velocity in excess of 150–200 km s⁻¹ for gas above the core of Circinus. We also present evidence for inflowing ionized gas at the centre of Circinus.
The correlation of the Hα and radio continuum features is discussed, as well as the possible presence of a starburst-driven superwind in the Circinus galaxy.     

Geochemistry of high-grade eclogites and metarodingites from the Central Alps

Analyses for major, minor, and trace element contents of metamorphosed, variably rodingitized mafic rocks demonstrate substantial removal of Na and as much as three-fold gains in Ca as a consequence of rodingitization. Modest declines in Si and Fe can be explained in terms of dilution effects. Losses in K and Ba do not correlate with Ca% and may have been caused by an alteration process not related to the rodingitization. The Ca-metasomatism was not accompanied by a gain in Sr. The relative contents of Ti, Zr, Hf, Y, Co, Sc, and heavy REE show no readily detectable changes, despite the rodingitization (±other alteration) and subsequent metamorphisms, namely, eclogite facies (T800° C, P 20kbar) followed by amphibolite facies, sillimanite zone. Protoliths were tholeiitic basalt or diabase, and gabbro, with trace element contents indicative of a spreading center origin. Trace element and REE patterns indicate low-pressure fractionation of this magma, with plagioclase stable. This petrogenesis is consistent with prior conclusions on the shallow crustal origin of the protolith of the eclogite-metarodingite-garnet lherzolite suite in the Cima Lunga-Adula nappe, Central Alps. Based on their bulk chemical composition, the mafic rocks in this suite could be the equivalent of Mesozoic ophiolitic rocks in the more external parts of the Alps.     

Plate kinematics and the gravity field

Both the system of plate motions and the global gravity field or the geoid are now so precisely known that it seems worthwhile to look for quantitative relationships. Some aspects, such as the general occurrence of positive gravity and geoid anomalies in regions of plate convergence, have long been known. Our aim is to describe the gravitational field in terms of plate-kinematic parameters and we present a preliminary step in this direction: for four plates (Pacific, Nazca, Indian, American) we have computed the correlation of the Gem 8 geoid heights (with reference to an ellipsoid of 1/298.255 ellipticity) with distance from the poles of motion and distance from the axes in an “absolute” frame. The geoid tends first to drop from the ridge axes to at least 10° distance and then to rise toward the convergence zones. This trend is strongest for the Indian plate in collision with Eurasia, is smaller, but very clear for the oceanic Pacific and Nazca plates, and is not developed for the American plate which does not subduct. We did not find a consistent relationship for the geoid with distance from the pivots. A possible interpretation of the results is the return flow of the large-scale mantle circulation.