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In this paper, two models of interest for Celestial Mechanics are presented and analysed, using both analytic and numerical techniques, from the point of view of the possible presence of regular and/or chaotic motion, as well as the…

Earth and Planetary Astrophysics · Physics 2024-02-02 Irene De Blasi

We present new equilibrium component distribution functions that depend on three analytic integrals in a Stackel potential, and that can be used to model stellar discs of galaxies. These components are generalizations of two-integral ones…

Astrophysics · Physics 2008-11-26 B. Famaey , K. Van Caelenberg , H. Dejonghe

Correlations between stellar chemistry and kinematics have long been used to gain insight into the evolution of the Milky Way Galaxy. Orbital angular momentum is a key physical parameter and it is often estimated from three-dimensional…

Several scenarios have been suggested to explain the phase-space distribution of the Milky Way (MW) satellite galaxies in a disc of satellites (DoS). To quantitatively compare these different possibilities, a new method analysing angular…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 M. S. Pawlowski , P. Kroupa , G. Angus , K. S. de Boer , B. Famaey , G. Hensler

We attempt to constrain the kinematics of the thin and thick disks using the Besancon population synthesis model together with RAVE DR4 and Gaia first data release (TGAS). The RAVE fields were simulated by applying a detailed target…

Astrophysics of Galaxies · Physics 2017-08-30 Annie C. Robin , Olivier Bienaymé , José G. Fernández-Trincado , Céline Reylé

A three-component Stackel model of the Galaxy, including the bulge, disk, and halo, is constructed. Parameter estimates of the potential are obtained as a result of fitting the model rotation curve to azimuthal velocities found from data on…

Astrophysics of Galaxies · Physics 2021-11-03 A. O. Gromov , I. I. Nikiforov

Fast and precise propagation of satellite orbits is required for mission design, orbit determination and payload data analysis. We present a method to improve the computational performance of numerical propagators and simultaneously…

Earth and Planetary Astrophysics · Physics 2021-04-06 Roberto Flores , Burhani Makame Burhani , Elena Fantino

We propose a method to outer bound forward reachable sets on finite horizons for uncertain nonlinear systems with polynomial dynamics. This method makes use of time-dependent polynomial storage functions that satisfy appropriate dissipation…

Systems and Control · Electrical Eng. & Systems 2020-05-18 He Yin , Andrew Packard , Murat Arcak , Peter Seiler

We carry out a set of self-consistent N-body calculations to investigate how important the velocity anisotropy in non-spherical dark-matter haloes is for dynamical friction. For this purpose we allow satellite galaxies to orbit within…

Astrophysics · Physics 2009-11-10 Jorge Penarrubia , Andreas Just , Pavel Kroupa

The full phase space information on the kinematics of a huge number of stars provided by the Gaia third Data Release raises the demand for a better understanding of the 3D stellar dynamics. In this paper, we investigate the possible regimes…

Astrophysics of Galaxies · Physics 2023-08-29 Tatiana A. Michtchenko , Douglas A. Barros

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Robotics · Computer Science 2022-05-27 Naman Shah , Siddharth Srivastava

We present dynamical distribution functions for evolved stars in the inner galactic plane. We use an axisymmetric, two-component Stackel potential that satisfies recent constraints on the galactic potential, amongst others a slightly…

Astrophysics · Physics 2007-05-23 M. Sevenster , H. Dejonghe , K. Van Caelenberg , H. J. Habing

The observed velocities of the gas in barred galaxies are a combination of the azimuthally-averaged circular velocity and non-circular motions, primarily caused by gas streaming along the bar. These non-circular flows must be accounted for…

Astrophysics of Galaxies · Physics 2015-10-28 Toky Randriamampandry , Francoise Combes , Claude Carignan , Nathan Deg

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

Astrophysics · Physics 2009-10-31 G. Bernstein , B. Khushalani

This paper shows how a self-consistent dynamical model can be obtained by fitting the gravitational potential of the Milky Way to the stellar kinematics and densities from Gaia data. Using the Besancon Galaxy Model we derive a potential and…

Observations of the lengthy tidal streams produced by the destruction of the Sagittarius dwarf spheroidal (Sgr dSph) are capable of providing strong constraints on the shape of the Galactic gravitational potential. However, previous work,…

Astrophysics of Galaxies · Physics 2015-05-14 David R. Law , Steven R. Majewski , Kathryn V. Johnston

We present a method that can be used to recover the spectrum of turbulence from observations of optically thin emission lines formed in astrophysical disks. Within this method we analyze how line intensity fluctuations depend on the angular…

Instrumentation and Methods for Astrophysics · Physics 2016-03-23 D. V. Bisikalo , E. P. Kurbatov , Ya. N. Pavlyuchenkov , A. G. Zhilkin , P. V. Kaygorodov

We explore the possibility of detecting and characterizing the warp of the stellar disc of our Galaxy using synthetic Gaia data. The availability of proper motions and, for the brightest stars radial velocities, adds a new dimension to this…

Astrophysics of Galaxies · Physics 2015-06-19 H. Abedi , C. Mateu , L. A. Aguilar , F. Figueras , M. Romero-Gomez

Building and maintaining a space object catalog is necessary for space situational awareness. To realize this, one great challenge is uncooperative spacecraft maneuver detection because unknown maneuver events can lead to deviated orbital…

Optimization and Control · Mathematics 2025-06-16 Xuejian Mao , Pei Liu , Pei Chen

In this paper, we propose a proximal gradient method and an accelerated proximal gradient method for solving composite optimization problems, where the objective function is the sum of a smooth and a convex, possibly nonsmooth, function. We…

Optimization and Control · Mathematics 2025-07-22 Raghu Bollapragada , Shagun Gupta