The Use of Resonant Orbits in Satellite Geodesy: A Review

Dynamic resonance, arising from commensurate (orbital or rotational) periods of satellites or planets with each other, has been a strong force in the development of the solar system. The repetition of conditions over the commensurate periods can result in amplified long-term changes in the positions of the bodies involved. Such resonant phenomena driven by the commensurability between the mean motion of certain artificial Earth satellites and the Earth’s rotation originally contributed to the evaluation and assessment of the Stokes parameters (harmonic geopotential coefficients) that specify the Earth’s gravitational field. The technique constrains linear combinations of the harmonic coefficients that are of relevant resonant order (lumped coefficients). The attraction of the method eventually dwindled, but the very accurate orbits of CHAMP and GRACE have recently led to more general insights for commensurate orbits applied to satellite geodesy involving the best resolution for all coefficients, not just resonant ones. From the GRACE mission, we learnt how to explain and predict temporary decreases in the resolution and accuracy of derived geopotential parameters, due to passages through low-order commensurabilities, which lead to low-density ground-track patterns. For GOCE we suggest how to change a repeat orbit height slightly, to achieve the best feasible recovery of the field parameters derived from on-board gradiometric measurements by direct inversion from the measurements to the harmonic geopotential coefficients, not by the way of lumped coefficients. For orbiters of Mars, we have suggestions which orbits should be avoided. The slow rotation of Venus results in dense ground-tracks and excellent gravitational recovery for almost all orbiters.     

Trends in 1,4-Dioxane Analyses: Implications for Identification and Characterization of Contaminated Groundwater Sites

1,4-Dioxane is a contaminant of emerging concern, and there is significant uncertainty about how its environmental occurrence in groundwater is being assessed given the various analytical methods available. This study compiled public sampling records from 2000 to 2019 that included >106,000 analyses of 1,4-dioxane from 822 different U.S. sites. The 1,4-dioxane detection frequency in the entire dataset (including all methods) was 45%, and the median detected concentration was 10 μg/L, highlighting the dilute nature of 1,4-dioxane in environmental media and the importance of selecting methods with adequate sensitivity. The annual distribution of samples analyzed by each method type confirmed a shift towards methods designed for semi-volatile compounds (Method 8270 and Method 8270 SIM) that exhibited consistently lower reporting limits (median reporting limit for each year typically ≤1 μg/L). In contrast, the method designed for volatile compounds (Method 8260) exhibited less sensitivity for 1,4-dioxane (median reporting limit per year between 40 and 100 μg/L) and its use declined significantly over time with increasing use of the moderately sensitive Method 8260 SIM in later years. This shift contributed to an increase in the 1,4-dioxane detection frequency over time, with a strong correlation between the annual detection frequency and the median reporting limit. Sites where 1,4-dioxane was analyzed but not detected overwhelmingly used less-sensitive methods that may not have been adequate for the expected concentration levels. Given the sub-μg/L groundwater criteria issued for 1,4-dioxane by some regulatory agencies, more sensitive and accurate methods will be increasingly needed to assess compliance.     

Tidal variability in the water quality of an urbanized estuary

Tide and water quality data were collected concurrently in the Hackensack River estuary (HRE), a tidal tributary of the New York-new Jersey Harbor estuary. Harmonic analyses of tidal elevation data indicate that HRE tides are predominantly semidiurnal, though modulated by diurnal and fortnightly components. Nearly uniform tidal ranges (averaging approximately 1.6 m) were observed at three stations within the HRE. Periodogram estimates reveal significant tidal variability for the water quality parameter NH₄−N under dry-weather conditions. Lag correlation analyses associate NH₄−N concentration variations with water level fluctuations. Longitudinal profile plots for NH₄−N reveal a consistent pattern of tidal translations, with peak concentrations oscillating about a major wastewater discharger. These analyses suggest that the distribution of NH₄−N concentrations in the HRE is controlled primarily by major point source loadings and horizontal advection. A simplified, one-dimensional model is used to describe this distribution. Effects of tidal variability in masking water quality status and waak trends are also analyzed. These analyses highlight the potential importance of short-term water quality variability in tidal estuaries where concentration gradients are large.     

A mathematical programming approach for scheduling equipment in a surface coal mining operation

Summary A mathematical programming model for scheduling open pit mining was developed and validated using data from a surface mining operation. A two-phase solution procedure was used involving repeated evaluations of an integer scheduling model and a simple transportation model.     

The attenuation of acoustic-gravity waves in a slightly dissipative atmosphere

This paper is concerned with computation of the attenuation coefficient of internal acoustic-gravity waves in a slightly dissipative horizontally stratified atmosphere. Two models are generally used in deriving this attenuation coefficient. In one model, the nonlinear hydrodynamic equations are analyzed by using a Stokes expansion and the WKB solutions to the linearized perturbations are sought by using the coupled mode formulation. In the second model, the attenuation is viewed as the dissipation of pseudoenergy. We show in this paper that in a slightly dissipative atmosphere, these two models give identical results as far as computation of the attenuation coefficient is concerned, although in a highly dissipative atmosphere the results are known to be different.     

Diabatic wind and temperature profiles obtained from a 100 m tower: A statistical comparison of model performances

More than 8000 10-min profiles of wind and temperature obtained during an extensive field experiment have been analyzed. The study was carried out in the environs of Valladolid (Spain) where a 100-m and a 6-m meteorological tower are located. Less than 20% of data were discarded due to equipment failure. Because of its exceptional flatness, the site is almost ideal for model performance comparisons.Predicted profiles of wind speed and potential temperature at 12, 26, 51, and 100 m heights were obtained using the methods proposed by Berkowicz and Prahm (1982) and San José (1983) based on values observed on a 6 m tower. Statistical t, F, and R tests were used to determine bias, scatter and correlation. The data were classified according to atmospheric stratification and height above ground. Finally, a determination was made of the predicted wind speeds and potential temperatures that fell within the 1 and 20% confidence ranges centered at the measured value. San José's method performed better than did that of Berkowicz and Prahm for the temperature profiles in both unstable and stable conditions. However, no significant differences were found for the wind speed profiles.     

Mapping of suspended sediments using site specific seasonal algorithms

This article reports a preliminary work in which two site specific seasonal algorithms have been proposed for estimating the suspended sediments concentration (SSC) from the digital numbers recorded on Indian Remote sensing Satellite, IRS-P4 Ocean Colour Monitor (OCM) sensor. For estimation of SSC, the proposed algorithms utilize dark pixel deduction atmospheric correction technique. The computations are performed with respect to north east monsoon phase situations of Palk Strait coastal stretch. The algorithms performance was satisfactory during the north east monsoon period. Although the results obtained cannot be generalized, we suggest that the authority of proposed algorithms can be extended to other seasons with the addition of more temporal experimental validation data sets and with numeric constants adjusted to present existing conditions. (As this area was severely affected by Tsunami, it may have dissimilar conditions at present).     

Collision tectonics in the Canadian Shield?

Major late Aphebian faults cutting the margin of the western Superior craton and exhibiting large dextral offsets are considered to be a direct result of collision between suturing Superior and Churchill plates. Following initial collision in northern Quebec (Cape Smith belt) and in Ontario (west of James Bay), the Winisk River fault developed and suturing continued along the Fox River belt of the circum-Superior suture. Development of the Kenyon structure, another major shear zone, and subsequent faults, permitted further plate convergence to accommodate the stepped form of the edge of the Churchill plate. In this way the Superior craton was progressively sliced as suturing proceeded from east to southwest. The fault directions were controlled by pre-existing transform faults linking segments of a consuming trench system at the edge of the Churchill plate. Final stages of convergence and collision resulted in thickening of the Churchill plate and major sinistral motion along the Thompson-Owl River shear zone.