Transformation invariante du problème des deux corps associée à l'excentricité

Dans un système d'axes fixes le problème gravitationnel des n. corps possède quatre groupes d'invariance (rectifications). Aucun de ces groupes ne peut échanger une solution non bornée et une solution bornée.Dans le cas du problème non circulaire et non rectilinéaire des deux corps, une transformation paramétrique peut-être définie, changeant seulement l'exentricité et l'horaire. Cette transformation est de type homographique et son expression anlytique dépend des valeurs de l'exentricité par rapport à l'unité. Par conséquent, une solution hyperbolique ou parabolique peut-être changée en une solution elliptique. Les applications et l'utilité d'une telle transformation concerne les captures des comètes. Finalement, une hypothétique extension est indiquée pour le problème des n. corps.

---

Invariant transformation of the two-body problem associated with eccentricity

In an absolute reference frame the gravitational n-body problem possesses four groups of invariant transformations (rectifications). But no one can change an unbounded solution into a bounded solution.For the non-circular two-body problem, having non-zero angular momentum a parametric transformation may be defined changing only the eccentricity and the time. This transformation is of homographic type, and it is an analytical expression depends on the value of the eccentricity with respect to unity. Therefore an hyperbolic or parabolic solution may be changed into an elliptic solution. The application and usefulness of this transformation is concerned with the capture of comets [5].Finally, an hypothetic extension is indicated to the n-body problem.

     

Parameter estimation for basin-scale ecosystem-linked population models of large pelagic predators: Application to skipjack tuna

A Spatial Ecosystem and Population Dynamic Model (SEAPODYM) is used in a data assimilation study aiming to estimate model parameters that describe dynamics of Pacific skipjack tuna population on ocean-based scale. The model based on advection–diffusion–reaction equations explicitly predicts spatial dynamics of large pelagic predators, while taking into account data on several mid-trophic level components, oceanic primary productivity and physical environment. In order to improve its quantitative ability, the model was parameterized through assimilation with commercial fisheries data, and optimization was carried out using maximum likelihood estimation approach. To address the optimization task we implemented an adjoint technique to obtain an exact, analytical evaluation of the likelihood gradient. We conducted a series of computer experiments in order to (i) determine model sensitivity with respect to variable parameters and, hence, investigate their observability; (ii) estimate observable parameters and their errors; and (iii) justify the reliability of the computed solution. Parameters describing recruitment, movement, habitat preferences, natural and fishing mortality of skipjack population were analysed and estimated. Results of the study suggest that SEAPODYM with achieved parameterization scheme can help to investigate the impact of fishing under various management scenarios, and also conduct forecasts of a given species stock and spatial dynamics in a context of environmental and climate changes.     

http://www.sciencedirect.com/science/article/pii/S1674987113001606

The paper reviews previous and recently obtained geological, stratigraphic and geochronological data on the Russian-Kazakh Altai orogen, which is located in the western Central Asian Orogenic Belt （CAOB）, between the Kazakhstan and Siberian continental blocks. The Russian-Kazakh Altai is a typical Pacific-type orogen, which represents a collage of oceanic, accretionary, fore-arc, island-arc and continental margin terranes of different ages separated by strike-slip faults and thrusts. Evidence for this comes from key indicative rock associations, such as boninite- and turbidite （graywacke）-bearing volcanogenic-sedimentary units, accreted pelagic chert, oceanic islands and plateaus, MORB-OIB-protolith blueschists. The three major tectonic domains of the Russian-Kazakh Altai are： （1） Altai-Mongolian terrane （AMT）; （2） subduction-accretionary （Rudny Altai, Gorny Altai） and collisional （Kalba-Narym） terranes; （3） Kurai, Charysh-Terekta, North-East, Irtysh and Char suture-shear zones （SSZ）. The evolution of this orogen proceeded in five major stages： （i） late Neoproterozoic-early Paleozoic subduction-accretion in the Paleo-Asian Ocean; （ii） Ordovician-Silurian passive margin; （iii） Devonian-Carboniferous active margin and collision of AMT with the Siberian conti- nent; （iv） late Paleozoic closure of the PAO and coeval collisional magmatism; （v） Mesozoic post-collisional deformation and anarogenic magmatism, which created the modern structural collage of the Russian- Kazakh Altai orogen. The major still unsolved problem of Altai geology is origin of the Altai-Mongolian terrane （continental versus active margin）, age of Altai basement, proportion of juvenile and recycled crust and origin of the middle Paleozoic units of the Gorny Altai and Rudny Altai terranes.     

Modelling the impact of climate change on Pacific skipjack tuna population and fisheries

IPCC-type climate models have produced simulations of the oceanic environment that can be used to drive models of upper trophic levels to explore the impact of climate change on marine resources. We use the Spatial Ecosystem And Population Dynamics Model (SEAPODYM) to investigate the potential impact of Climate change under IPCC A2 scenario on Pacific skipjack tuna (Katsuwonus pelamis). IPCC-type models are still coarse in resolution and can produce significant anomalies, e.g., in water temperature. These limitations have direct and strong effects when modeling the dynamics of marine species. Therefore, parameter estimation experiments based on assimilation of historical fishing data are necessary to calibrate the model to these conditions before exploring the future scenarios. A new simulation based on corrected temperature fields of the A2 simulation from one climate model (IPSL-CM4) is presented. The corrected fields led to a new parameterization close to the one achieved with more realistic environment from an ocean reanalysis and satellite-derived primary production. Projected changes in skipjack population under simple fishing effort scenarios are presented. The skipjack catch and biomass is predicted to slightly increase in the Western Central Pacific Ocean until 2050 then the biomass stabilizes and starts to decrease after 2060 while the catch reaches a plateau. Both feeding and spawning habitat become progressively more favourable in the eastern Pacific Ocean and also extend to higher latitudes, while the western equatorial warm pool is predicted to become less favorable for skipjack spawning.     

Rectifications régularisantes du problème des deux corps

Résumé Cet article concerne deux familles de transformations échangeant deux solutions du pioblème des deux corps d'excentricité différente. (Rectifications). L'une d'elle a été décrite dans [5]. Elle peut associer deux orbites non bornée, et bornée, de moment angulaire non nul, régularisant ainsi l'infini. Elle est étendue, ici, au cas non circulaire. Définie pour des solutions non rectilignes, elle ne peut régulariser les collisions. Pour cela, une autre famille de rectifications, comportant une affinité orthogonale, est considerée. Elle peut régulariser la collision, mais pas l'infini. La composition de ces deux sortes de rectifications, dont l'expression analytique dépend des valeurs des excentricités par rapport a l'unité regularise les deux singularités. Certaines de ces transformations sont liées a l'intègrale de Laplace. Dans le cas de n corps, si elles existent, elles pourraient étre associées à un invariant integral d'ordre deux, par l'intermédiaire du plan invariable de Laplace.

---

Regularizing rectifications of the two-body problem

This paper is concerned with several rectifications (invariant transformations) involving two solutions of the two-body problem of any eccentricity. Such a transform, which can change an unbounded orbit into a bounded orbit has been described in [5]. Each having no zero angular momentum. This may be a regularization for infinity. Here, it is extended to the circular case. As it concerns only non rectilinear solution, it is not a regularization of the collision. For that purpose, another family of rectifications is considered. By involving an orthogonal affinity these transformations may regularise the collision but not infinity. By the product of these two sorts of rectifications, whose analytical expressions depend on the values of the eccentricities with respect to unity, in the two cases the problem becomes regular. Some of these transformations seem to be associated with the Laplace integral and for the n body problem, if they exist, perhaps with an integral invariant of order two, by way of the invariable plane of Laplace.

     

On Conditions of Phytoplankton Blooms in the Coastal Waters of the North-Western East/Japan Sea

Seasonal changes of abundance of the main phytoplankton groups of species (diatoms, dinoflagellates, chrysophytes, small flagellates and cryptophytes) and a set of environmental parameters were investigated in coastal and preestuarine waters of Peter the Great Bay (East/Japan Sea) in May-October of 1998 and 1999. Three periods of mass development were revealed: spring, summer and autumn blooms, with successive change of species. The conditions favourable for each group of species were determined. Driving mechanisms of the succession include nutrients transport through seasonal pycnocline by turbulent mixing, terrestrial nutrients supply by monsoon floods, nutrients supply by upwellings, and light control by the thickness of upper mixed layer. Summer succession could be explained by a simple SST-MLD diagram similar to Pingree S-kh diagram with sea surface temperature as indicator of stratification (S) and mixed layer depth as indicator of light availability (kh).     

An analytical interpretation of liquid injection induced microseismicity in porous reservoirs

The paper presents a rigorously derived analytical method to describe and interpret the low-magnitude earthquakes caused by injection of the borehole fluids into surrounding porous reservoirs. Microseismicity is induced due to changes in the pore pressure, which, in turn, is influenced mainly by the low-frequency slow Biot (P2) wave. The classical Biot model is used to obtain the distribution of pore pressure in a reservoir. The constructed solution to the Biot system of equations and the spatio-temporal cloud of microseismic events allow one to assess the critical value of the pore pressure, sufficient for the generation of a microearthquake, and the values of hydromechanical parameters (e.g. permeability) of a saturated porous rock.     

April sea ice extent in the Barents Sea, 1850–2001

Three observational data sets are used to construct a continuous record (1850-2001) of April ice edge position in the Barents Sea: two sets of Norwegian ice charts (one from 1850 to 1949 and the other from 1966 to 2001) and Soviet aircraft reconnaissance ice extent charts from 1950 to 1966. The 152-year April ice extent series is subdivided into three sub-periods: 1850-1899, 1900-1949 and 1950-2001. For each of these study sub-periods, a mean April ice edge and a set of anomalies (differences in position between a given April and the mean April ice edge) are computed. The calculations show the mean ice edge position retreated north-eastward over the 152-year period, with the greater retreat seen in the changes from the 1850-1899 sub-period to the 1900-1949 sub-period. The distribution of the standard deviation of the ice edge anomaly over the linear distance along the mean ice edge shows no substantial difference between any of the three periods of the study. Within each study period, the maximum variation is observed in the sector bounded by the 25°E and 49° E meridians, which covers the main pathway of the warmer water flow from the Norwegian Sea.