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The two-body Coulomb scattering problem is solved using the standard complex scaling method. The explicit enforcement of the scattering boundary condition is avoided. Splitting of the scattering wave function based on the Coulomb modified…

Atomic Physics · Physics 2015-06-03 I. Hornyak , A. T. Kruppa

In this work we revisit axial perturbations of spherically symmetric and non-rotating neutron stars. Although it has been object of many studies, it still offers new insights that are of potential interest for more realistic scenarios or in…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sebastian H. Völkel , Kostas D. Kokkotas

Variability observed in photometric lightcurves of late-type stars (on timescales longer than a day) is a dominant noise source in exoplanet surveys and results predominantly from surface manifestations of stellar magnetic activity, namely…

The depth of an exoplanetary transit in the light curve of a distant star is commonly approximated as the squared planet-to-star radius ratio, (R_p/R_s)^2. Stellar limb darkening, however, results in significantly deeper transits. Here we…

Earth and Planetary Astrophysics · Physics 2019-03-22 René Heller

We present a means of characterizing and removing internal reflections between the CCD and other optical surfaces in an astronomical camera. The stellar reflections appear as out-of-focus images and are not necessarily axisymmetric about…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Colin Slater , Paul Harding , Chris Mihos

The stellar population synthesis in unresolved composite objects is a very tricky problem. Indeed, it is a degenerate problem since many parameters affect the observables. The stellar population synthesis issue thus deserves a deep and…

Astrophysics · Physics 2009-11-10 J. Moultaka

The Colombo top is a basic model in the rotation dynamics of a celestial body moving on a precessing orbit and perturbed by a gravitational torque. The paper presents a detailed study of analytical solution to this problem. By solving…

Earth and Planetary Astrophysics · Physics 2020-05-06 J. Haponiak , S. Breiter , D. Vokrouhlicky

We present a fast algorithm to produce light curves of distant stars undergoing microlensing near critical curves. The need of these type of algorithms is motivated by recent observations of microlensing events of distant stars at high…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 J. M. Diego

The equations of general relativity in the form of timelike and null geodesics that describe motion of test particles and photons in Kerr spacetime are solved exactly including the contribution from the cosmological constant. We then…

General Relativity and Quantum Cosmology · Physics 2009-11-11 G. V. Kraniotis

Recently, we presented a general model for the light curves of chromospherically active stars, where the observed light curve is interference of two real constant period light curves of long-lived starspots. In this first paper, we make six…

Solar and Stellar Astrophysics · Physics 2018-09-21 L. Jetsu

Todays astrometry has reached the micro-arcsecond level in angular measurements of celestial objects. The next generations of astrometric facilities are aiming at the sub-micro-arcsecond scale. Sub-micro-arcsecond astrometry requires a…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Sven Zschocke

Co-rotating spots at different latitudes on the stellar surface generate periodic photometric variability and can be useful proxies to detect Differential Rotation (DR). DR is a major ingredient of the solar dynamo but observations of…

Solar and Stellar Astrophysics · Physics 2015-06-16 Timo Reinhold , Ansgar Reiners

A transiting extrasolar planet sequentially blocks off the light coming from the different parts of the disk of the host star in a time dependent manner. Due to the spin of the star, this produces an asymmetric distortion in the line…

Astrophysics · Physics 2009-11-10 Yasuhiro Ohta , Atsushi Taruya , Yasushi Suto

We introduce polystar bodies: compact starshaped sets whose gauge or radial functions are expressible by polynomials, enabling tractable computations, such as that of intersection bodies. We prove that polystar bodies are uniformly dense in…

Optimization and Control · Mathematics 2025-06-02 Chiara Meroni , Jared Miller , Mauricio Velasco

We consider the stationary Navier-Stokes equations in a three-dimensional curved thin domain around a given closed surface under the slip boundary conditions. Our aim is to show that a solution to the bulk equations is approximated by a…

Analysis of PDEs · Mathematics 2023-08-25 Tatsu-Hiko Miura

The physics of stars, their workings and their evolution, is a goldmine of problems in statistical mechanics and thermodynamics. We discuss many examples that illustrate the possibility of deepening student's knowledge of statistical…

Statistical Mechanics · Physics 2009-10-31 R. Balian , J. -P. Blaizot

Spectral energy distributions for models of arbitrarily rotating stars are computed using two dimensional rotating stellar models, NLTE plane parallel model atmospheres, and a code to integrate the appropriately weighted intensities over…

Astrophysics · Physics 2008-05-09 A. Gillich , R. Deupree , C. Lovekin , I. Short , N. Toque

[Abridged] Context. Stellar activity is an important source of systematic errors and uncertainties in the characterization of exoplanets. Most of the techniques used to correct for this activity focus on an ad hoc data reduction. Aims. We…

Earth and Planetary Astrophysics · Physics 2016-11-03 G. Bruno , M. Deleuil , J. -M. Almenara , S. C. C. Barros , A. F. Lanza , M. Montalto , I. Boisse , A. Santerne , A. -M. Lagrange , N. Meunier

We study the Rayleigh-Stokes problem for a generalized second-grade fluid which involves a Riemann-Liouville fractional derivative in time, and present an analysis of the problem in the continuous, space semidiscrete and fully discrete…

Numerical Analysis · Mathematics 2015-01-05 Emilia Bazhlekova , Bangti Jin , Raytcho Lazarov , Zhi Zhou

We obtain a new solution to the star-triangle relation for an Ising-type model with two kinds of spin variables at each lattice site, taking continuous real values and arbitrary integer values, respectively. The Boltzmann weights are…

Mathematical Physics · Physics 2014-01-21 Andrew. P. Kels
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