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- W1963770888 abstract "A consideration of the processes of cosmogony demands an extensive knowledge of the behaviour of rotating astronomical matter. What knowledge we have is based upon the researches of Maclaurin, Jacobi, Poincare, and Darwin. These researches refer solely to matter which is perfectly homogeneous and incompressible, although it is, of course, known that the primordial astronomical matter must be far from homogeneous and probably highly compressible as well. The question of how far we are justified in attributing to real matter the behaviour which is found to be true for incompressible and homogeneous matter is obviously one of great importance. 2. There are à priori reasons for expecting that there will be wide differences between the two cases. Consider first a sphere of homogeneous incompressible matter devoid of rotation. This will be stable if every small displacement increases (or, at least, does not decrease) its potential energy. The sphere has a number of independent possible small displacements which can be measured by the number of harmonics which can be represented on its surface. The spherical configuration is known to be stable because it can be shown that every one of these displacements increases the potential energy." @default.
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- W1963770888 date "1914-01-01" @default.
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- W1963770888 title "XI. Gravitational instability and the nebular hypothesis" @default.
- W1963770888 doi "https://doi.org/10.1098/rsta.1914.0011" @default.
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