Structure and evolutionary history of the solar system,IV

In this fourth and last part of our analysis, the first section (14) contains a study of the chemical composition of the planets and satellites. A sharp distinction is made between the large quantity of speculations about the interiors of the bodies and the rather meagerfacts known with a reasonable degree of certainty. It is shown, however, that the latter are sufficient todisprove the old concept of a Laplacian disc of homogeneous chemical composition. There is asystematic variations in the chemical composition of planets (and probably also of satellites) so that heavy elements are more abundant in the outermost and in the innermost regions of the systems. Section 15 containsa study of meteorites. These have earlier been interpreted in terms of ‘exploded planets’ and condensation processes in thermodynamic equilibrium. It is shown that such models are irreconcilable with the laws of physics and also with the meteoritic observations. These instead are found toprovide abundant information on the processes in jet streams and on early fractionation and condensation. Further work along these lines supplemented with other solar system materials studies may lead to a detailed reconstruction of important events in the evolution of the solar system. Section 16 demonstrates that the location of the different groups of secondary bodies is a result of a plasma phenomenon occurring at the critical velocity limit. These have recently been studied in detail in the laboratory but have not yet been fully applied to astrophysics.Groups of bodies in the planetary and the satellite systems related by the critical velocity shouldhave the same gravitational potential. There are large chemical differences between groups of different gravitational potential. This is reconcilable with the chemical differentiation found in Section 14. Finally, Section 17 deals with thestructure of the different groups of bodies and shows that the mass distributionis a function of the spin of the central body. Summarizing the properties and distribution of bodies in the solar system against this background, it is shown that there isno need for ‘missing planets’ or to explode hypothetical large bodies. Nor is there any justification for involvingdrastic ad hoc changes in the orbits of existing bodies. The scheme is complete in the sense that in all places where groups of bodies are expected, such bodies are actually found. All of the existing bodies are accounted for (with the exception of the small Martian satellites!). The general conclusion is that already with the empirical material now availableit is possible to suggest a series of basic processes leading to the present structure of planet and satellite systems in an internally consistent way. With the expected flow of data from space research the evolution of the solar system may eventually be described with about the same confidence and accuracy as the geological evolution of the Earth.     

Aggregation of grains in space

Persistent electrostatic charge is a characteristic feature in lunar soil and results in cohesion forces between the grains ranging in the order of 10² dyn. We suggest that this phenomenon is responsible for the initial aggregation of grains in the formative era of the solar system. The effect would become important when the relative velocity between particles at grazing incidence or collision has been reduced to order of 10² m s^–1. The electrostatic adhesion mechanism would also explain the suggestion from optical polarization measurements that small asteroids accumulate silicate dust.Electrostatic accretion and bonding would consequently appear to be a process of basic importance in the solar system, both in the formative era and today.Paper dedicated to Prof. Harold C. Urey on the occasion of his 80th birthday on 29 April 1973.     

Accretion of Moon and Earth and the emergence of life.

The discrepancy between the impact records on the Earth and Moon in the time period, 4.0-3.5 Ga calls for a re-evaluation of the cause and localization of the late lunar bombardment. As one possible explanation, we propose that the time coverage in the ancient rock record is sufficiently fragmentary, so that the effects of giant, sterilizing impacts throughout the inner solar system, caused by marauding asteroids, could have escaped detection in terrestrial and Martian records. Alternatively, the lunar impact record may reflect collisions of the receding Moon with a series of small, original satellites of the Earth and their debris in the time period about 4.0-3.5 Ga. The effects on Earth of such encounters could have been comparatively small. The location of these tellurian moonlets has been estimated to have been in the region around 40 Earth radii. Calculations presented here, indicate that this is the region that the Moon would traverse at 4.0-3.5 Ga, when the heavy and declining lunar bombardment took place. The ultimate time limit for the emergence of life on Earth is determined by the effects of planetary accretion--existing models offer a variety of scenarios, ranging from low average surface temperature at slow accretion of the mantle, to complete melting of the planet followed by protracted cooling. The choice of accretion model affects the habitability of the planet by dictating the early evolution of the atmosphere and hydrosphere. Further exploration of the sedimentary record on Earth and Mars, and of the chemical composition of impact-generated ejecta on the Moon, may determine the choice between the different interpretations of the late lunar bombardment and cast additional light on the time and conditions for the emergence of life.     

Band structure of the solar system: An objective test of the grouping of planets and satellites

Alfvén in his early work on the origin of the solar system (1942–1946) noted a pronounced band structure in the gravitational potential distribution of secondary bodies, and suggested this feature to be directly related to the formation process. When the critical velocity phenomenon was later discovered, a close agreement was found between the planet-satellite bands on one hand, and the critical velocity limits of the major compound elements in the interstellar medium on the other, suggesting a specific emplacement mechanism for the dusty plasma which presumably constituted the solar nebula.Since the originally perceived band structure was outlined in a qualitative fashion, an attempt is made here to analyze the distribution by a statistical technique, testing the significance of clustering of the observational data in the bands. The results show that, with proper scaling of the parameters, such a band structure indeed appears, with features closely similar to those originally conceived. Some deviations are indicated by the cluster analysis, however; their significance is discussed in terms of process involved in the formation of the solar system.Paper dedicated to Professor Hannes Alfvén on the occasion of his 80th birthday, 30 May 1988.     

Crystal structures of synthetic 7 angstrom and 10 angstrom manganates substituted by mono- and divalent cations

The crystal structures of synthetic 7 angstrom and 10 angstrom manganates, synthetic birnessite and buserite, substituted by mono- and divalent cations were investigated by X-ray and electron diffractions. The monoclinic unit cell parameters of the subcell of lithium 7 angstrom manganate, which is one of the best ordered manganates, were obtained by computing the X-ray powder diffraction data: a = 5.152 angstroms, b = 2.845 angstroms, c = 7.196 angstroms, beta = 103.08 degrees. On the basis of the indices obtained by computing the X-ray diffraction data of Li 7 angstrom manganate, monovalent Na, K and Cs and divalent Be, Sr and Ba 7 angstrom manganates were interpreted as the same monoclinic structure with beta = 100-103 degrees as that of Li 7 angstrom manganate, from their X-ray diffraction data. In addition, divalent Mg, Ca and Ni 10 angstrom manganates were also interpreted as the same monoclinic crystal system with beta=90-94 degrees. The unit cell parameters, especially a, c and beta change possibly with the type of substituent cation probably because of the different ionic radius, hydration energy and molar ratio of substituent cation to manganese. However, these diffraction data, except for those of Sr and Ba 7 angstrom and Ca and Ni 10 angstrom manganates, reveal only some parts of the host manganese structure with the edge-shared [MnO6] octahedral layer. On the other hand, one of the superlattice reflections observed in the electron diffractions was found in the X-ray diffraction lines for heavier divalent cations Sr and Ba 7 angstrom and Ca and Ni 10 angtrom manganates. The reflection presumably results from the substituent cation position in the interlayer which is associated with the vacancies in the edge-shared [MnO6] layer and indicates that the essential vacancies are linearly arranged parallel to the b-axis. Furthermore, the characteristic superlattice reflection patterns for several cations, Li, Mg, Ca, Sr, Ba and Ni, manganates were interpreted that the substituent cations are regularly distributed in the interlayer according to the exchange percentage of substituent cation to Na+. In contrast, the streaking in the a-direction observed strongly in the electron diffractions for heavier monovalent cations, K and Cs, manganates probably results from the disordering of their cations in the a-direction in the interlayer.