Subtle is the lord: On the difference between Newtonian (Lyapunov) stability analysis and geometrical stability analysis of gravitational orbits

L. P. Horwitz, A. Yahalom, M. Lewkowicz, J. Levitan

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים

2 ציטוטים ‏(Scopus)

תקציר

In this essay we discuss the geometrical embedding method (GEM) for the analysis of the stability of Hamiltonian systems using geometrical techniques familiar from general relativity. This method has proven to be very effective. In particular, we show that although the application of standard Lyapunov analysis predicts that completely integrable Kepler motion is unstable, this geometrical analysis predicts the observed stability. Moreover, we apply this approach to the three body problem in which the third body is restricted to move on a circle of large radius which induces an adiabatic time dependent potential on the second body. This causes the second body to move in a very intricate but periodic trajectory. The geometric approach predicts the correct stable motion in this case as well.

שפה מקוריתאנגלית
עמודים (מ-עד)2787-2793
מספר עמודים7
כתב עתInternational Journal of Modern Physics D
כרך20
מספר גיליון14
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 31 דצמ׳ 2011

טביעת אצבע

להלן מוצגים תחומי המחקר של הפרסום 'Subtle is the lord: On the difference between Newtonian (Lyapunov) stability analysis and geometrical stability analysis of gravitational orbits'. יחד הם יוצרים טביעת אצבע ייחודית.

פורמט ציטוט ביבליוגרפי