Law of Dermott

The law of Dermott is an empirical formula concerning the Period of revolution of principal the satellite S orbits about it around the Planet S of the Solar system. It was established by the researcher in Celestial mechanics Stanley Dermott in the the Sixties.

Formulation

The law of Dermott takes the following form:

$T\; \backslash \; left\; (N\; \backslash \; right)\; =\; T\; \backslash \; left\; (0\; \backslash \; right)\; \backslash \; cdot\; C^n$

with T (N) the period of revolution of satellite, T (0) and C two constants relating to the planetary system.

Such relations, showing a geometric progression, can result from the models of gravitational Effondrement of gas clouds at the origin of the formation of the planetary systems and satellite — to see the Law of Titius-Bode. They can also rise from the commensurability S of Résonance in the various systems.

Applications

System jovien

The values bakers by Dermott for the system jovien are:

T (0) = 0,444 day

2,03

System saturnien

The values bakers by Dermott for the system jovien are:

T (0) = 0,462 day

1.59

System uranien

The values bakers by Dermott for the system jovien are:

T (0) = 0,488 day

2.24

See too

Related article

• Law of Titius-Bode

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