A theory of power-law distributions in financial market fluctuations

X Gabaix, P Gopikrishnan, V Plerou, HE Stanley - Nature, 2003 - nature.com
Insights into the dynamics of a complex system are often gained by focusing on large
fluctuations. For the financial system, huge databases now exist that facilitate the analysis of …

Stable satellites around extrasolar giant planets

RC Domingos, OC Winter… - Monthly Notices of the …, 2006 - academic.oup.com
In this work, we study the stability of hypothetical satellites of extrasolar planets. Through
numerical simulations of the restricted elliptic three-body problem we found the borders of …

Chaos-assisted capture of irregular moons

SA Astakhov, AD Burbanks, S Wiggins, D Farrelly - Nature, 2003 - nature.com
It has been thought,, that the capture of irregular moons—with non-circular orbits—by giant
planets occurs by a process in which they are first temporarily trapped by gravity inside the …

Stability of prograde and retrograde planets in circular binary systems

MHM Morais, CA Giuppone - Monthly Notices of the Royal …, 2012 - academic.oup.com
We investigate the stability of prograde versus retrograde planets in circular binary systems
using numerical simulations. We show that retrograde planets are stable up to distances …

Escape from planetary neighbourhoods

H Waalkens, A Burbanks… - Monthly Notices of the …, 2005 - academic.oup.com
In this paper we use recently developed phase-space transport theory coupled with a so-
called classical spectral theorem to develop a dynamically exact and computationally …

Long-term dust dynamics in Didymos and Dimorphos system: Production, stability, and transport

G Madeira, S Charnoz, N Rambaux, P Robutel - Icarus, 2024 - Elsevier
Target of NASA's DART mission, the system of Didymos and Dimorphos will once again be
visited by a space mission—ESA's Hera mission, scheduled to be launch in 2024. Hera will …

Effects of resonances on the stability of retrograde satellites

C Douskos, V Kalantonis, P Markellos - Astrophysics and Space Science, 2007 - Springer
The stability evolution of family f of the planar circular restricted three-body problem in the
Earth–Moon case is explored numerically using the Poincaré surface of section. It is shown …

Stable regions around Pluto

SM Giuliatti Winter, OC Winter… - Monthly Notices of the …, 2013 - academic.oup.com
In a previous work, Giuliatti Winter et al. found several stable regions for test particles in orbit
around Pluto associated with families of periodic orbits obtained in the circular, restricted …

Exploring S-type orbits in the Pluto–Charon binary system

SMG Winter, OC Winter… - Monthly Notices of the …, 2010 - academic.oup.com
This work generates, through a sample of numerical simulations of the restricted three-body
problem, diagrams of semimajor axis and eccentricity which defines stable and unstable …

Distant stable direct orbits around the Moon

OC Winter, EV Neto - Astronomy & Astrophysics, 2002 - aanda.org
In the present work we explore regions of distant direct stable orbits around the Moon. First,
the location and size of apparently stable regions are searched for numerically, adopting the …