Gravitational Effects on the Vertical Observed by the Ottawa PZT

1973 ◽  
Vol 10 (3) ◽  
pp. 379-383
Author(s):  
E. G. Woolsey
Keyword(s):  
Confidence Level ◽  
The Sun ◽  
Gravitational Attraction ◽  
Confidence Limits ◽  
Love Number ◽  
Deflection Of The Vertical ◽  
Gravitational Effects ◽  
Coefficient Of Correlation

The deflection of the vertical due to the combined gravitational attraction of both the sun and moon appears in the observations made with the Ottawa PZT during the years 1962–1970. The values are very small, but the 95% confidence level shows they are real. The Love number (1 + k − l) was determined as 1.3 ± 0.9 from latitude readings, and 0.9 ± 0.8 from longitude, where the uncertainties quoted in both cases are the 95% confidence limits. The coefficient of correlation between observed and calculated residuals is 0.7 for longitude and for latitude readings.

scholarly journals The In-Plane Motion of a Geosynchronous Satellite Under the Gravitational Attraction of the Sun, the Moon and the Oblate Earth

1993 ◽  
Vol 132 ◽  
pp. 339-339
Author(s):  
K.B. Bhatnagar ◽  
Manjeet Kaur
Keyword(s):  
Low Frequency ◽  
Plane Motion ◽  
The Sun ◽  
Gravitational Attraction ◽  
The Moon ◽  
Gravitational Effects ◽  
Geosynchronous Satellite ◽  
Radial Deviation ◽  
Finite Quantity

AbstractThe in-plane motion of a Geosynchronous satellite under the gravitational effects of the sun, the moon and the oblate earth has been studied. The radial deviation (Δr) and the tangential deviation (rcΔθ) have been determined. Here rc represents the synchronous altitude. It has been seen that the sum of the oscillatory terms in Δr for different inclinations is a small finite quantity whereas the sum of oscillatory terms in rcΔθ for different inclinations is quite large due to the presence of the low-frequency terms in the denominator.

scholarly journals Galactic environment and cometary flux from the Oort cloud

2009 ◽  
Vol 5 (S263) ◽  
pp. 57-66 ◽  
Author(s):  
Marc Fouchard
Keyword(s):  
Solar System ◽  
Oort Cloud ◽  
The Sun ◽  
Gravitational Attraction ◽  
Solar System Formation ◽  
Gravitational Effects ◽  
Long Period ◽  
System Formation ◽  
The Galaxy ◽  
The Difference

AbstractThe Oort cloud, which corresponds to the furthest boundary of our Solar System, is considered as the main reservoir of long period comets. This cloud is likely a residual of the Solar System formation due to the gravitational effects of the young planets on the remaining planetesimals. Given that the cloud extends to large distances from the Sun (several times 10 000 AU), the bodies in this region have their trajectories affected by the Galactic environment of the Solar System. This environment is responsible for the re-injection of the Oort cloud comets into the planetary region of the Solar System. Such comets, also called “new comets”, are the best candidates to become Halley type or “old” long period comets under the influence of the planetary gravitational attractions. Consequently, the flux of new comets represents the first stage of the long trip from the Oort cloud to the observable populations of comets. This is why so many studies are still devoted to this flux.The different perturbers related to the Galactic environment of the Solar System, which have to be taken into account to explain the flux are reviewed. Special attention will be paid to the gravitational effects of stars passing close to the Sun and to the Galactic tides resulting from the difference of the gravitational attraction of the Galaxy on the Sun and on a comet. The synergy which takes place between these two perturbers is also described.

Clinical Evaluation of a Modified "Oxford T4-by-Column" Method for Serum Thyroxine

1972 ◽  
Vol 18 (5) ◽  
pp. 422-426 ◽  
Author(s):  
Marcia Lee ◽  
Norbert W Tietz ◽  
Charles J Martinez
Keyword(s):  
Clinical Evaluation ◽  
Confidence Limits ◽  
Normal Range ◽  
Serum Thyroxine ◽  
Coefficient Of Correlation ◽  
Hospital Employees ◽  
Standard Curve ◽  
Column Method ◽  
Normal Individuals

Abstract Three commercially available kits for determining serum thyroxine (T4) by column were evaluated. Results with all were less than satisfactory, but a series of changes in the Oxford method resulted in increased reproducibility, substantially improved recovery, and extended linearity of the standard curve. Results compared well with the thyrometabolic status of patients and normal individuals. The 95% confidence limits for 219 "normal" hospital employees were 2.9-6.2 µg/100 ml. The suggested normal range for 241 clinically euthyroid patients is 2.5-6.0 µg/100 ml. The coefficient of correlation between results of the proposed method and of the PBI method was 0.30; for the T4 by the Murphy—Pattee method it was 0.75.

Comparison of the 87 Rb → 87 Sr ages of the red granite of the Bushveld complex from measurements on the total rock and separated mineral fractions

1958 ◽  
Vol 245 (1240) ◽  
pp. 112-117 ◽  
Keyword(s):  
Confidence Level ◽  
Bushveld Complex ◽  
Crushed Rock ◽  
Confidence Limits ◽  
Single Determination ◽  
The Mean ◽  
Age Determinations

Age determinations on a portion of the total crushed rock, and on the felspar fraction of each of four widely separated samples of the red granite from the Bushveld complex are reported. A single determination from the separated biotite of one sample was made. These nine determinations lead to a mean age of 2.41 x 10 9 years [ t 1/2 = 6.3 x 10 10 years] or 1.92 x 10 9 years [ t 1/2 = 5.0 x 10 10 years]. There are no variations between individual determinations that are significant at the 99% confidence level. For the unweighted mean age the 99% confidence limits are ± 0.13 x 10 9 years. Despite the low enrichment of 87 Sr the ‘total rock ’ method shows 99% confidence limits of ± 0.22 x 10 9 years for the mean of four determinations.

MULTIVARIATE MODELS AND VARIABILITY INTERVALS: A LOCAL RANDOM SET APPROACH

2011 ◽  
Vol 19 (05) ◽  
pp. 799-823 ◽  
Author(s):  
THOMAS FETZ
Keyword(s):  
Confidence Level ◽  
Structural Mechanics ◽  
Random Sets ◽  
Confidence Limits ◽  
Random Set ◽  
Multivariate Functions ◽  
Multivariate Models ◽  
Multivariate Case ◽  
Fréchet Bounds

This article is devoted to the propagation of families of variability intervals through multivariate functions comprising the semantics of confidence limits. At fixed confidence level, local random sets are defined whose aggregation admits the calculation of upper probabilities of events. In the multivariate case, a number of ways of combination is highlighted to encompass independence and unknown interaction using random set independence and Fréchet bounds. For all cases we derive formulas for the corresponding upper probabilities and elaborate how they relate. An example from structural mechanics is used to exemplify the method.

On the application of confidence limits to biostratigraphy: an example from diatoms

2020 ◽  
Author(s):  
Cristina Lopes ◽  
João Velez
Keyword(s):  
Sedimentation Rate ◽  
Confidence Level ◽  
Confidence Limits ◽  
Confidence Levels ◽  
Expedition 346 ◽  
Age Model

<p>For years, diatom-based biostratigraphy has been settings bio-events based on a qualitatively approach. This means that the biostratigraphy would set an age based on the findings or not of a certain species. However, how many species are needed to consider a certain datum as certain? One, ten, 100? Moreover, each biostratigrapher sets its on limits. One might consider one as enough and another 10. Therefore, the scale more often used is the absent, rare, frequent, common, dominant or abundant with an explanation of what of these definitions mean. This is very common in, for example, IODP expeditions.</p><p>However, what would happen to these biostratigraphy levels if one would apply, for example, a concept of 95% confidence level? Moreover, what would happen to an age model if this concept would be applied to all the biostratigraphy microfossil?</p><p>Here we will show Expedition 346 age model differences with and without confidence levels applied to diatoms. The differences can be significant and even considering the existence of a hiatus can be reconsider if confidence limits are applied, turning a possible hiatus into a very slow sedimentation rate having serious implications to the initial paleoceanographic interpretations.</p>

Statistical Considerations for Determining Extent of Piping Inspections for RBI or API-570 Driven Inspections

2002 ◽  
Author(s):  
D. Hobbs ◽  
A. P.-D. Ku
Keyword(s):  
Random Field ◽  
Confidence Level ◽  
Confidence Limits ◽  
Damage State ◽  
Statistical Tools ◽  
Process Piping ◽  
Piping Systems ◽  
Inspection Data ◽  
Engineering Practices

This paper outlines a method for calculating the number of inspection locations for process piping inspections. The method determines the number of piping inspection locations required for an inspection to detect a particular damage state within the confidence limits of the premised inspection’s reliability. It is intended to be used for piping inspections per API-570, “Piping Inspection Code” and in the application of risk-based inspection concepts presented in AP1-581, “Risk Based Inspection, Base Resource Document”. This method combines recognized inspection and piping engineering practices and random-field statistical tools to calculate the number of inspection locations in piping systems with probabilistic confidence level. This method has provisions for future applications when inspection data is known, or there is greater uncertainty in the distribution of the degradation or the reliability of the inspection data is different than those premised in this paper.

Exact confidence limits for prevalence of a disease with an imperfect diagnostic test

2010 ◽  
Vol 138 (11) ◽  
pp. 1674-1678 ◽  
Author(s):  
J. REICZIGEL ◽  
J. FÖLDI ◽  
L. ÓZSVÁRI
Keyword(s):  
Confidence Intervals ◽  
Diagnostic Test ◽  
Sensitivity And Specificity ◽  
Simulation Study ◽  
Confidence Level ◽  
Asymptotic Methods ◽  
Real Life ◽  
Disease Status ◽  
Confidence Limits ◽  
Extensive Simulation

SUMMARYEstimation of prevalence of disease, including construction of confidence intervals, is essential in surveys for screening as well as in monitoring disease status. In most analyses of survey data it is implicitly assumed that the diagnostic test has a sensitivity and specificity of 100%. However, this assumption is invalid in most cases. Furthermore, asymptotic methods using the normal distribution as an approximation of the true sampling distribution may not preserve the desired nominal confidence level. Here we proposed exact two-sided confidence intervals for the prevalence of disease, taking into account sensitivity and specificity of the diagnostic test. We illustrated the advantage of the methods with results of an extensive simulation study and real-life examples.

On: “THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM,” BY DEZSÖ NAGY (GEOPHYSICS, APRIL, 1966, PP. 362–371)

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 987-987 ◽  
Author(s):  
Charles E. Corbató
Keyword(s):  
Vertical Component ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Gravitational Effects ◽  
Rectangular Parallelopiped

You might be interested to note that the results obtained by Nagy (1966) and published in Geophysics concerning the vertical component of the gravitational attraction of a right rectangular prism not only had been published previously by Sorokin and Haáz but also were derived and published (in English) 136 years ago by Everest (1830, p. 94–97). Everest calculated closed expressions which are equivalent to that of Nagy for the horizontal and vertical gravitational effects of a rectangular parallelopiped and used these equations to estimate the topographic deflection of the plumb bob due to the Satpura Range in India.

scholarly journals A Study on Tidal Potential and Tide Generating Force

2018 ◽  
Vol 37 ◽  
pp. 29-37
Author(s):  
M Mizanur Rahman ◽  
Gour Chandra Paul ◽  
Ashabul Hoque
Keyword(s):  
The Sun ◽  
Gravitational Attraction ◽  
The Moon ◽  
Tidal Potential

This study deals with the derivation of tidal potential and tide generating forces. Tidal potential is derived from the gravitational attraction of masses of the moon and the sun and from this potential tide generating forces are derived taking its horizontal gradients.GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 29-37

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