“Dermott's law”的意思、由来-开放百科全书

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Dermott's law

释义

References

Dermott's law is an empirical formula for the orbital period of major satellites orbiting planets in the Solar System. It was identified by the celestial mechanics researcher Stanley Dermott in the 1960s and takes the form:

for

Where T(n) is the orbital period of the n^th satellite, T(0) is of the order of days and C is a constant of the satellite system in question. Specific values are:

Jovian system: T(0) = 0.444 d, C = 2.03
Saturnian system: T(0)=0.462 d, C = 1.59
Uranian system: T(0) = 0.760 d, C = 1.80

Such power-laws may be a consequence of collapsing-cloud models of planetary and satellite systems possessing various symmetries; see Titius-Bode law. They may also reflect the effect of resonance-driven commensurabilities in the various systems.

References

{{cite journal |title=On the origin of commensurabilities in the solar system - I: The tidal hypothesis |first=S. F. |last=Dermott |journal=Mon. Not. R. Astron. Soc. |volume=141 |issue=3 |pages=349 |date=1968 |doi=10.1093/mnras/141.3.349 |doi-access=free |bibcode=1968MNRAS.141..349D |bibcode-access=free }}
{{cite journal |title=On the origin of commensurabilities in the solar system - II: The orbital period relation |first=S. F. |last=Dermott |journal=Mon. Not. R. Astron. Soc. |volume=141 |issue=3 |pages=363–376 |date=1968 |doi=10.1093/mnras/141.3.363 |doi-access=free |bibcode=1968MNRAS.141..363D |bibcode-access=free }}
{{cite journal |title=On the origin of commensurabilities in the solar system - III: The resonant structure of the solar system |first=S. F. |last=Dermott |journal=Mon. Not. R. Astron. Soc. |volume=142 |issue=2 |pages=143–149 |date=1969 |doi=10.1093/mnras/142.2.143 |doi-access=free |bibcode=1969MNRAS.142..143D |bibcode-access=free }}

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