A co-accretional model of satellite formation
Identifieur interne : 002B88 ( Main/Exploration ); précédent : 002B87; suivant : 002B89A co-accretional model of satellite formation
Auteurs : A. W. Harris [États-Unis] ; W. M. Kaula [États-Unis]Source :
- Icarus [ 0019-1035 ] ; 1975.
English descriptors
- Teeft :
- Accreting planet, Accretion, Accretion process, Angular momentum, Circular orbit, Circumplanetary cloud, Critical value, Embryo, Embryo satellite, Embryo satellites, Energy loss, Final mass, Final mass ratio, Gravitational instability, Harrisand kaula, Initial coagulation, Integral expression, Kaula, Larger body, Lower limit, Lunar origin, Mass gain, Mass ratio, Mutual collisions, Negligible effect, Numerical integrations, Orbit motion, Orbit path, Orbit radius, Other hand, Outer planet satellite systems, Outer planets, Planet embryo, Planet mass, Planet radii, Planetary rotation, Planetesimal, Planetesimal cloud, Random motion, Random velocity, Ring particles, Ring thickness, Roche limit, Safronov, Satellite, Satellite embryo, Satellite formation, Satellite radius, Satellite systems, Semimajor axis, Similar expression, Small number, Solar distance, Solar nebula, Solar system, Specific dissipation function, Such satellites, Surface density, Terminal stage, Terrestrial planet, Terrestrial planets, Thin disk, Tidal, Tidal evolution, Tidal friction, Upper limit.
Abstract
Abstract: Numerical calculation of a simple accretion model including the effects of tidal friction indicate that coformation is tenable only if the planet's Q is less than about 103. The parameter which most strongly affects the final mass ratio of the pair is the time at which the secondary embryo is introduced. Our model yields the proper Moon-Earth mass ratio if the Moon embryo is introduced when the Earth is only about 1 10 of its final mass. The lunar orbit remains at about 10 Earth radii throughout most of the growth. This model of satellite formation overcomes two difficulties of the “circumterrestrial cloud” model of Ruskol (1960, 1963, 1972): (1) The difficulty of accumulating a mass as great as the entire Moon before gravitational instability reduces the cloud to a small number of moonlets is removed. (2) The differences between terrestrial and outer planet satellite systems is easily understood in terms of the differences in Q between these planets. The high Q of the outer planets does not allow a satellite embryo to survive a significant portion of the accretion process, thus only small bodies which formed very late in the accumulation of the planet remain as satellites. The low Q of the terrestrial planets allows satellite embryos of these planets to survive during accretion, thus massive satellites such as the Earth's Moon are expected. The present lack of such satellites of the other terrestrial planets may be the result of tidal evolution, either infall following primary despinning (Burns, 1973) or escape due to increase in orbit eccentricity.
Url:
DOI: 10.1016/0019-1035(75)90071-8
Affiliations:
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Le document en format XML
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<term>Circular orbit</term>
<term>Circumplanetary cloud</term>
<term>Critical value</term>
<term>Embryo</term>
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<term>Embryo satellites</term>
<term>Energy loss</term>
<term>Final mass</term>
<term>Final mass ratio</term>
<term>Gravitational instability</term>
<term>Harrisand kaula</term>
<term>Initial coagulation</term>
<term>Integral expression</term>
<term>Kaula</term>
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<term>Lower limit</term>
<term>Lunar origin</term>
<term>Mass gain</term>
<term>Mass ratio</term>
<term>Mutual collisions</term>
<term>Negligible effect</term>
<term>Numerical integrations</term>
<term>Orbit motion</term>
<term>Orbit path</term>
<term>Orbit radius</term>
<term>Other hand</term>
<term>Outer planet satellite systems</term>
<term>Outer planets</term>
<term>Planet embryo</term>
<term>Planet mass</term>
<term>Planet radii</term>
<term>Planetary rotation</term>
<term>Planetesimal</term>
<term>Planetesimal cloud</term>
<term>Random motion</term>
<term>Random velocity</term>
<term>Ring particles</term>
<term>Ring thickness</term>
<term>Roche limit</term>
<term>Safronov</term>
<term>Satellite</term>
<term>Satellite embryo</term>
<term>Satellite formation</term>
<term>Satellite radius</term>
<term>Satellite systems</term>
<term>Semimajor axis</term>
<term>Similar expression</term>
<term>Small number</term>
<term>Solar distance</term>
<term>Solar nebula</term>
<term>Solar system</term>
<term>Specific dissipation function</term>
<term>Such satellites</term>
<term>Surface density</term>
<term>Terminal stage</term>
<term>Terrestrial planet</term>
<term>Terrestrial planets</term>
<term>Thin disk</term>
<term>Tidal</term>
<term>Tidal evolution</term>
<term>Tidal friction</term>
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<front><div type="abstract" xml:lang="en">Abstract: Numerical calculation of a simple accretion model including the effects of tidal friction indicate that coformation is tenable only if the planet's Q is less than about 103. The parameter which most strongly affects the final mass ratio of the pair is the time at which the secondary embryo is introduced. Our model yields the proper Moon-Earth mass ratio if the Moon embryo is introduced when the Earth is only about 1 10 of its final mass. The lunar orbit remains at about 10 Earth radii throughout most of the growth. This model of satellite formation overcomes two difficulties of the “circumterrestrial cloud” model of Ruskol (1960, 1963, 1972): (1) The difficulty of accumulating a mass as great as the entire Moon before gravitational instability reduces the cloud to a small number of moonlets is removed. (2) The differences between terrestrial and outer planet satellite systems is easily understood in terms of the differences in Q between these planets. The high Q of the outer planets does not allow a satellite embryo to survive a significant portion of the accretion process, thus only small bodies which formed very late in the accumulation of the planet remain as satellites. The low Q of the terrestrial planets allows satellite embryos of these planets to survive during accretion, thus massive satellites such as the Earth's Moon are expected. The present lack of such satellites of the other terrestrial planets may be the result of tidal evolution, either infall following primary despinning (Burns, 1973) or escape due to increase in orbit eccentricity.</div>
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