Point Mass Models and the Anomalous Gravitational Field,

1981 ◽  
Author(s):  
Hans Suenkel
Keyword(s):  
Gravitational Field ◽  
Point Mass

Reply to I. R. Qureshi by the Authors

Geophysics ◽  
1977 ◽  
Vol 42 (3) ◽  
pp. 663-663
Author(s):  
B. K. Bhattacharyya ◽  
M. E. Navolio
Keyword(s):  
Magnetic Field ◽  
General Practice ◽  
Gravitational Field ◽  
Potential Field ◽  
Gravity Anomalies ◽  
The Body ◽  
Point Mass ◽  
Convolution Approach ◽  
Magnetic And Gravity Anomalies

In order to determine expressions for magnetic and gravity anomalies generated by a body of known shape, it is the general practice to integrate the dipolar magnetic field or the gravitational field due to a point mass over the volume occupied by the body. The digital convolution approach, as discussed in the above paper, makes it unnecessary to perform the integration analytically and to use a complicated expression for computing the anomalous potential field.

UNCERTAINTY PRINCIPLE AND THE QUANTUM FLUCTUATIONS OF THE SCHWARZSCHILD LIGHT CONES

1986 ◽  
Vol 01 (02) ◽  
pp. 491-498 ◽  
Author(s):  
T. PADMANABHAN ◽  
T.R. SESHADRI ◽  
T.P. SINGH
Keyword(s):  
Gravitational Field ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Light Cone ◽  
Uncertainty Relation ◽  
Quantum Fluctuations ◽  
Point Mass ◽  
Conjugate Momentum

We consider the gravitational field of a point mass and show that the application of the uncertainty principle leads to (i) an uncertainty relation for the metric and its conjugate momentum and (ii) finite fluctuations of the light-cone at the event horizon.

Discussion on “Digital Convolution of Computing Gravity and Magnetic Anomalies Due to Arbitrary Bodies,” by B. K. Bhattacharyya and M. E. Navolio (GEOPHYSICS, December 1975, p. 981–992)

Geophysics ◽  
1977 ◽  
Vol 42 (3) ◽  
pp. 663-663
Author(s):  
I. R. Qureshi
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Numerical Integration ◽  
Magnetic Anomalies ◽  
Point Mass ◽  
Mathematical Approach ◽  
Gravity And Magnetic ◽  
Small Side

I congratulate the authors on their elegant mathematical approach to the computation of gravity and magnetic anomalies due to arbitrary bodies. But I consider their concluding remark, “In this approach, it is not necessary to perform integration of the dipolar magnetic field or the gravitational field due to a point mass,” to be inaccurate and misleading. The method proposed by the authors represents, in effect, the division of arbitrary bodies into cubes of a small side and numerical integration [their equations (20) and (25)] of the effects of “equivalent” dipoles or point masses located at the centers of these cubes. Hence, the smaller the side of the cube, the better the accuracy of the method.

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