The three-body problem

ZE Musielak, B Quarles - Reports on Progress in Physics, 2014 - iopscience.iop.org
The three-body problem, which describes three masses interacting through Newtonian
gravity without any restrictions imposed on the initial positions and velocities of these …

Patient-specific seizure detection method using hybrid classifier with optimized electrodes

RS Selvakumari, M Mahalakshmi… - Journal of medical …, 2019 - Springer
In this paper the EEG signal is analyzed by reconstructing the time series EEG signal in High
dimensional Phase Space. The computational complexity in higher dimension is reduced by …

Earth–Moon Quasi-Halo Orbit Family: Characteristics and Manifold Applications

D Lujan, DJ Scheeres - Journal of Guidance, Control, and Dynamics, 2022 - arc.aiaa.org
Quasi-halo orbits in the circular restricted three-body problem are quasi-periodic orbits that
exist about the periodic halo orbits. A quasi-periodic orbit is an orbit diffeomorphic to a quasi …

Fully numerical methods for continuing families of quasi-periodic invariant tori in astrodynamics

N Baresi, ZP Olikara, DJ Scheeres - The Journal of the astronautical …, 2018 - Springer
Quasi-periodic invariant tori are of great interest in astrodynamics because of their capability
to further expand the design space of satellite missions. However, there is no general …

Computation of quasi-periodic tori and heteroclinic connections in astrodynamics using collocation techniques

ZP Olikara - 2016 - search.proquest.com
Many astrodynamical systems exhibit both ordered and chaotic motion. The invariant
manifold structure organizes these behaviors and is a valuable tool for the design of …

Quasi-terminator orbits near primitive bodies

SB Broschart, G Lantoine, DJ Grebow - Celestial Mechanics and …, 2014 - Springer
Quasi-terminator orbits are introduced as a class of quasi-periodic trajectories in the solar
radiation pressure (SRP) perturbed Hill dynamics. These orbits offer significant …

Rapid trajectory design in the Earth–Moon ephemeris system via an interactive catalog of periodic and quasi-periodic orbits

D Guzzetti, N Bosanac, A Haapala, KC Howell… - Acta Astronautica, 2016 - Elsevier
Upcoming missions and prospective design concepts in the Earth–Moon system extensively
leverage multi-body dynamics that may facilitate access to strategic locations or reduce …

Lissajous and Halo orbits in the restricted three-body problem

A Celletti, G Pucacco, D Stella - Journal of Nonlinear Science, 2015 - Springer
We study the dynamics near the collinear Lagrangian points of the spatial, circular, restricted
three-body problem. Following a standard procedure, we reduce the system to the center …

Natural motion around the Martian moon Phobos: the dynamical substitutes of the Libration Point Orbits in an elliptic three-body problem with gravity harmonics

M Zamaro, JD Biggs - Celestial Mechanics and Dynamical Astronomy, 2015 - Springer
Abstract The Martian moon Phobos is becoming an appealing destination for future scientific
missions. The orbital dynamics around this planetary satellite is particularly complex due to …

Spacecraft formation flight on quasi-periodic invariant tori

N Baresi - 2017 - search.proquest.com
Since the successful rendezvous of the Gemini VI and VII spacecraft in 1965, spacecraft
formation flying has attracted the interest of many researchers in the field. Yet, existing …