Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.100....1h&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 100, no. 1-2, March 1984, p. 1-11.
Astronomy and Astrophysics
Astrophysics
9
Astrophysics, Gravitational Effects, Particle Interactions, Submerged Bodies, Displacement, Gravitational Constant, Gravitational Fields, Particle Mass, Symmetry, Vacuum
Scientific paper
It is shown that Archimedes' principle can be generalized. For instance, a particle immersed in a homogeneous fluid at the centre of spherical symmetry of the fluid, or anywhere in an unbounded homogeneous fluid, experiences - in an external field - a force that it would experience in a vacuum if it had an apparent mass less than the actual one by the mass of displaced fluid. Inversely, if one immerses a particle into a symmetrically arranged homogeneous fluid apart from its centre of symmetry, the particle and the fluid produce, at the centre of symmetry of the fluid, a gravitational field that would be produced in vacuum by a particle of the same size and shape but having apparent mass. Laboratory experiments, suitable to verify this 'inverse' theorem, are described. On the other hand, the gravitational force between two particles in an infinite homogeneous fluid is reduced by a factor proportional to the product of their apparent masses. The results obtained imply corrections to vacuum of the gravitational constant.
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