Gravitational Attraction of a Floating, Hollow, Rectangular Parallelopiped

1955 ◽  
Author(s):  
Andrew N. Smith
Keyword(s):  
Gravitational Attraction ◽  
Rectangular Parallelopiped

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.

Maclaurin on Occasionalism: A Reply to Ablondi

2016 ◽  
Vol 14 (1) ◽  
pp. 125-135
Author(s):  
Patrick J. Connolly
Keyword(s):  
Eighteenth Century ◽  
Recent Article ◽  
Gravitational Attraction ◽  
Matter Theory ◽  
Key Features ◽  
Short Essay ◽  
The Way

In a recent article Fred Ablondi compares the different approaches to occasionalism put forward by two eighteenth-century Newtonians, Colin Maclaurin and Andrew Baxter. The goal of this short essay is to respond to Ablondi by clarifying some key features of Maclaurin's views on occasionalism and the cause of gravitational attraction. In particular, I explore Maclaurin's matter theory, his views on the explanatory limits of mechanism, and his appeals to the authority of Newton. This leads to a clearer picture of the way in which Maclaurin understood gravitational attraction and the workings of nature.

THE GRAVITATIONAL ATTRACTION OF RECTANGULAR MASSES

Survey Review ◽  
1994 ◽  
Vol 32 (251) ◽  
pp. 273-278
Author(s):  
A. C. Ruffhead
Keyword(s):  
Gravitational Attraction

Non-axisymmetric Unstable Modes in a Thin Differentially Rotating Gaseous Disk

1991 ◽  
Vol 02 (01) ◽  
pp. 367-370
Author(s):  
M.H.M. HEEMSKERK ◽  
G.J. SAVONIJE
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Numerical Solutions ◽  
Gravitational Attraction ◽  
Rotating Disc ◽  
Central Mass ◽  
Reflecting Boundaries ◽  
Self Gravity ◽  
Axisymmetric Perturbations ◽  
Gaseous Disc

We consider the linear stability of a thin differentially rotating gaseous disc with reflecting boundaries against non-axisymmetric perturbations. We assume the unperturbed disc to be in centrifugal equilibrium with the gravitational attraction of a central mass M, and consider discs whose mass can be neglected relative to M. We discuss the relevant conservation laws for the energy and angular momentum of linear non-axisymmetric modes in a thin rotating disc without self-gravity and illustrate the basic mode amplification mechanisms with help of some of our numerical solutions [1].

scholarly journals On the possible ellipticity of Saturn's ring

1924 ◽  
Vol 106 (739) ◽  
pp. 526-552 ◽  
Keyword(s):  
Nineteenth Century ◽  
The Other ◽  
Gravitational Attraction ◽  
History Of Astronomy ◽  
Small Oscillations ◽  
First Approximation ◽  
Elliptical Ring ◽  
Single Ring ◽  
History Of ◽  
Concentric Circles

Clerk Maxwell’s investigation into the constitution and stability of Saturn’s Ring was based upon the fundamental supposition that the rings were composed of particles arranged in concentric circles. Although the particles could perform small oscillations about their mean positions, it is evident that the outline of the ring would be to all appearances circular. A line in Clerke’s ‘Popular History of Astronomy in the Nineteenth Century’ (page 299) suggests that some observers have regarded the outline of the ring as elliptical. It is therefore of interest to enquire under what conditions an elliptical ring could exist. The ellipse is a more general form than a circle. If, therefore, it can be shown that an elliptic ring is possible, any explanation of the origin of the rings must take account of this fact. In this paper a single ring of particles is examined. The actual Ring of Saturn probably consists of numerous rings, one within the other. By their gravitational attraction, each will affect the motions of the others. As a first approximation, however, it is sufficient to consider the case of a single ring.

Sign in / Sign up

Export Citation Format

Share Document