The relative motion of the core and mantle of a planet in the gravitational field of a point mass

2006 ◽  
Vol 70 (4) ◽  
pp. 560-572
Author(s):  
V.G. Vil’ke
Keyword(s):  
Gravitational Field ◽  
Relative Motion ◽  
Point Mass ◽  
The Core

scholarly journals The Split Comets: Gravitational Interaction Between the Fragments

1979 ◽  
Vol 81 ◽  
pp. 311-314
Author(s):  
Z. Sekanina
Keyword(s):  
Gravitational Field ◽  
Computer Program ◽  
Numerical Integration ◽  
Relative Motion ◽  
Gravitational Interaction ◽  
Parent Nucleus ◽  
The Other ◽  
Comet Nucleus

The n-body computer program by Schubart and Stumpff (1966) has been slightly modified to study the gravitational interaction between two fragments of a split comet nucleus in the sun's gravitational field. All calculations refer to the orbit of Comet West (1976 VI), the velocity of separation of the fragments is assumed to be equal in magnitude to the velocity of escape from the parent nucleus, and the numerical integration of the relative motion of one fragment (called the companion) with respect to the other (principal fragment) is carried over the period of 200 days from separation.

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.

scholarly journals A scalar geodesic deviation equation and a phase theorem

1983 ◽  
Vol 6 (4) ◽  
pp. 795-802 ◽  
Author(s):  
P. Choudhury ◽  
P. Dolan ◽  
N. S. Swaminarayan
Keyword(s):  
Gravitational Field ◽  
Phase Shift ◽  
Relative Motion ◽  
Plane Waves ◽  
Relative Energy ◽  
Positive Definite ◽  
Geodesic Deviation ◽  
Deviation Equation ◽  
Test Particles ◽  
Geodesic Deviation Equation

A scalar equation is derived forη, the distance between two structureless test particles falling freely in a gravitational field:η¨+(K−Ω2)η=0. An amplitude, frequency and a phase are defined for the relative motion. The phases are classed as elliptic, hyperbolic and parabolic according asK−Ω2>0,<0,=0.In elliptic phases we deduce a positive definite relative energyEand a phase-shift theorem. The relevance of the phase-shift theorem to gravitational plane waves is discussed.

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.

scholarly journals Probing Quantum Gravity Through Strong Gravitational Lensing

2017 ◽  
Author(s):  
Stuart Marongwe
Keyword(s):  
Dark Matter ◽  
Gravitational Field ◽  
Quantum Gravity ◽  
Gravitational Lensing ◽  
Cold Dark Matter ◽  
Space Time ◽  
Radius Of Curvature ◽  
Space Telescope ◽  
Strong Gravitational Lensing ◽  
The Core

We report the use of Einstein rings to reveal the quantized and dynamical states of space-time in a region of impressed gravitational field as predicted by the Nexus Paradigm of quantum gravity. This in turn reveals the orbital speeds of objects found therein and the radius of curvature of the quantized space-time. Similarities between the Nexus graviton and the singular isothermal sphere (SIS) in the Cold Dark Matter (CDM) paradigm are highlighted. However unlike the singular isothermal sphere, the Nexus graviton does not contain singularities or divergent integrals. This solves the core cusp problem. In this work, data from a sample of fifteen Einstein rings published on the Cfa-Arizona Space Telescope Lens Survey (CASTLES) website is used to probe the quantized properties of space-time.

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