R. A. Lyttleton
University of Cambridge
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Mathematical Proceedings of the Cambridge Philosophical Society | 1939
F. Hoyle; R. A. Lyttleton
The effect of interstellar matter on the suns radiation is considered with a view to explaining changes in terrestrial climate. It appears that a star in passing through a nebulous cloud will capture an amount of material which by the energy of its fall to the solar surface can bring about considerable changes in the quantity of radiation emitted. The quantity of matter gathered in by the star depends directly on the density of the cloud and inversely on the cube of its velocity relative to the cloud. Thus vastly different effects on the solar radiation can be brought about under fairly narrow ranges of density and relative velocity (ranges that are in accordance with astronomical evidence). In this way the process is able to explain the small changes in the solar radiation that are necessary to produce an ice age and, under conditions less likely to have taken place frequently, the high increase in radiation required for the Carboniferous Epoch. Despite the large effects that the mechanism can bring about, it is shown that the mass of the sun does not undergo appreciable change and hence reverts to its former luminosity once the cloud has been traversed.
Mathematical Proceedings of the Cambridge Philosophical Society | 1939
F. Hoyle; R. A. Lyttleton
Difficulties associated with the evolution of stars by radiation alone are briefly discussed. It is clear that some other process is also affecting the stars and it is shown that the stars are capable of adding to their mass by the process of accretion of the cosmical cloud. The gravitation of a moving star causes additional collisions of the atoms of the interstellar matter and the motions become randomized to such an extent that the star probably captures all material passing within the distance at which the velocity of the star relative to the cloud is the parabolic velocity. This rate of accretion of mass of a star is 4πγ 2 ρ M 2 /ν 3 , and is accordingly of great importance for stars of low velocity. Stars of high velocity are least affected by accretion and therefore in general remain of low mass, while stars of low velocity must attain great mass. The periods of time involved in bringing about appreciable changes in the mass of a star are of the order of 5 × 10 10 years and are in agreement with independent estimates of the time scale, as deduced, for example, from the companion of Sirius. The evolution of the components and orbits of binary stars are consequences of the accretion process. The more massive component increases in mass more rapidly than the less massive component in the case of wide pairs, and may therefore in general continue to emit more ergs per gram. The orbit evolves in such a way that the total angular momentum remains constant. For equal masses the separation is proportional to the inverse cube of the mass, and the period to the inverse fifth power, so that great changes of separation and period occur. The evolution of the stars is governed almost entirely by their velocities relative to the cosmical cloud. In the case of double stars the evolution takes the form of decreasing period and decreasing separation. Such features as galactic concentration and the correlation between spectral type and velocity are direct results of accretion.
Nature | 1940
R. A. Lyttleton; F. Hoyle
Drs. Hoyle and Lyttleton have raised1 some objections to the results of the application of nuclear physics to the problems of stellar evolution as discussed in my recent articles on this subject2.
Monthly Notices of the Royal Astronomical Society | 1941
F. Hoyle; R. A. Lyttleton
Nature | 1983
R. A. Lyttleton
Mathematical Proceedings of the Cambridge Philosophical Society | 1940
F. Hoyle; R. A. Lyttleton
Monthly Notices of the Royal Astronomical Society | 1947
Hermann Bondi; F. Hoyle; R. A. Lyttleton
Monthly Notices of the Royal Astronomical Society | 1942
F. Hoyle; R. A. Lyttleton
Monthly Notices of the Royal Astronomical Society | 1942
F. Hoyle; R. A. Lyttleton
Monthly Notices of the Royal Astronomical Society | 1946
F. Hoyle; R. A. Lyttleton