A note on Lemaître´s model for third order resonance

Title:

A note on Lemaître´s model for third order resonance

Creator:

Pauwels, Thierry

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e7615f50-c9db-4d5f-ad22-99369a760137
uuid:e7615f50-c9db-4d5f-ad22-99369a760137

Subject:

space research and third order resonance

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In recent papers Henrard and Lemaître have studied what they call "The Second Fundamental Model for Resonance" and higher order generalizations of it. The action integral ("area index") was computed analytically, but the phase space and the action integral as a function of the parameter δ were only plotted on scale by a computer. By using properties of quartic equations, however, the mathematically special values of δ were found. For third order resonances, one of these turned out to correspond to a minimum in the value of the "area index" A2, but since it is very shallow and very close to the starting point of the function, this feature was invisible in Lemaître's plots, This has some theoretical implications for the process of capture into a third order resonance, although numerically the effect will be small due to the shallowness of the minimum. A similar exercise on first and second order resonances revealed no new features.

Language:

Czech

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

39-41

Source:

Publications of the Astronomical Institute of the Academy of Sciences of the Czech Republic | 1987 Volume:63-70 | Number:68

Harvested from:

CDK

Metadata only:

false