Three Body Dynamics and Its Applications to Exoplanets by Zdzislaw Musielak & Billy Quarles

Author:Zdzislaw Musielak & Billy Quarles
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

An alternate and more widely used technique for the detection of chaos is the use of the Mean Exponential Growth of Nearby Orbits (MEGNO) which describes in general the maximum Lyapunov exponent in a slightly different manner. This method was developed as a general tool in probing the chaos of Hamiltonian systems (Cincotta and Simó 1999, 2000). Since that time, it has been used to probe the dynamics of many different astrophysical systems (Goździewski et al. 2001, 2002b; Goździewski 2002; Laughlin et al. 2002; Pilat-Lohinger et al. 2003). For more in depth examples of the broad use of the MEGNO method and other chaos indicator methods, there are many works that demonstrate the details (Pavlov and Maciejewski 2003; Kotoulas and Voyatzis 2004; Barnes and Greenberg 2006; Funk et al. 2009; Dvorak et al. 2010; Hinse et al. 2010; Satyal et al. 2013).

The MEGNO method employs the integral form of determining the maximum Lyapunov exponent. In this sense, we can interpret this as a measurement of the time-average mean value of the finite time Lyapunov exponent with the following definition (Hinse et al. 2010),

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.