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.

THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM

Geophysics ◽  
1966 ◽  
Vol 31 (2) ◽  
pp. 362-371 ◽  
Author(s):  
Dezsö Nagy
Keyword(s):  
Gravity Field ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Vertical Component ◽  
Gravitational Effect ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Closed Expression ◽  
Building Element ◽  
Terrain Corrections

The derivation of a closed expression is presented to calculate the vertical component of the gravitational attraction of a right rectangular prism, with sides parallel to the coordinate axis. As any configuration can be expressed as the sum of prisms of various sizes and densities, the computation of the total gravitational effect of bodies of arbitrary shapes at any point outside of or on the boundary of the bodies is straightforward. To calculate the gravitational effect of the “unit” building element a subroutine called Prism has been developed, tested, and incorporated, in one program to calculate terrain corrections, and in another program for three‐dimensional analysis of a gravity field.

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.

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):  
J. Cl. De Bremaecker
Keyword(s):  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Simple Method ◽  
Coordinate Axis

The recent paper by Dezsö Nagy, “The gravitational attraction of a right rectangular prism,” is certainly of great interest. It might be pointed out, however, that in his textbook published in 1930, MacMillan already gave a formula for computing the potential of this body, as well as an extremely simple method to compute the derivatives along a coordinate axis. The Dover reprint is widely available.

GRAVITATIONAL ATTRACTION OF A CIRCULAR DISC

Geophysics ◽  
1977 ◽  
Vol 42 (1) ◽  
pp. 111-113 ◽  
Author(s):  
Shri Krishna Singh
Keyword(s):  
Cross Sections ◽  
Solid Angle ◽  
Vertical Component ◽  
Circular Disk ◽  
Circular Disc ◽  
Gravitational Attraction ◽  
Exploration Seismology ◽  
Solid Angles ◽  
The Cross

The vertical component of gravitational attraction [Formula: see text] of a circular disk is of some interest in geophysics since it can be used to obtain attraction of 3-D bodies whose parallel sections are circular and also since the solid angle Ω subtended by a disc at any point is proportional to [Formula: see text] at the same point (Ramsey, 1940, p. 36). Solid angles may be needed in some diffraction calculations in exploration seismology (see, e.g., Hilterman, 1975). It is clear, however, that in calculation of attraction from 3-D bodies, approximation of the cross‐sections by a polygon (Talwani and Ewing, 1960) has wider application.

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 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.

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