86 citations · 1k across the 58 of their papers we have counts for
4 papers · 1 filter
Orbital solutions to the HD160691 (mu Arae) Doppler signal
Krzysztof Gozdziewski, Maciej Konacki, Andrzej J. Maciejewski
We perform a dynamical analysis of the recently updated set of the radial velocity (RV) measurements of the HD160691 (mu Arae). The kinematic, 2-Keplerian model of the measurements…
Group analysis of structure equations for stars in radiative and convective equilibrium
Marek Szydlowski, Andrzej J. Maciejewski
It is proposed to use the Lie group theory of symmetries of differential equations to investigate the system of equations describing a static star in a radiative and convective equ…
Darboux Polynomials and First Integrals of Natural Polynomial Hamiltonian Systems
Andrzej J. Maciejewski, Maria Przybylska
We show that for a natural polynomial Hamiltonian system the existence of a single Darboux polynomial (a partial polynomial first integral) is equivalent to the existence of an add…
Differential Galois Approach to the Non-integrability of the Heavy Top Problem
Andrzej J. Maciejewski, Maria Przybylska
We study integrability of the Euler-Poisson equations describing the motion of a rigid body with one fixed point in a constant gravity field. Using the Morales-Ramis theory and too…