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- Krzysztof Gozdziewski, ALEX WOLSZCZAN
- 2008

We study the long-term dynamics of the PSR 1257+12 planetary system. Using the recently determined accurate initial condition by Konacki & Wolszczan (2003) who derived the orbital inclinations and the absolute masses of the planets B and C, we investigate the system stability by long-term, 1 Gyr direct integrations. No secular changes of the semi-major… (More)

- Krzysztof Gozdziewski, S lawomir Breiter, Wojciech Borczyk
- 2007

We describe numerical tools for the stability analysis of extrasolar planetary systems. In particular, we consider the relative Poincaré variables and symplectic integration of the equations of motion. We apply the tangent map to derive a numerically efficient algorithm of the fast indicator Mean Exponential Growth factor of Nearby Orbits (MEGNO), a measure… (More)

Two nearby stars, HD 128311 and HD 82943, are believed to host pairs of Jupiter-like planets involved in a strong first order 2:1 mean motion resonance. In this work we reanalyze available radial velocity (RV) measurements and demonstrate that it is also possible to explain the observed RV variations of the parents stars as being induced by a pair of Trojan… (More)

The recent discovery of a three-planet extrasolar system of HR 8799 by Marois et al. is a breakthrough in the field of the direct imaging. This great achievement raises questions on the formation and dynamical stability of the HR 8799 system, because Keplerian fits to astrometric data are strongly unstable during ∼ 0.2 Myr. We search for stable,… (More)

We investigate the secular dynamics of a planetary system composed of the parent star and two massive planets in mutually inclined orbits. The dynamics are investigated in wide ranges of semi-major axes ratios (0.1–0.667), and planetary masses ratios (0.25–2) as well as in the whole permitted ranges of the energy and total angular momentum. The secular… (More)

We investigate the secular dynamics of a planetary system composed of the parent star and two massive planets in mutually inclined orbits. The dynamics are investigated in wide ranges of semi-major axes ratios (0.1–0.667), and planetary masses ratios (0.25–2) as well as in the whole permitted ranges of the energy and total angular momentum. The secular… (More)

Context. We re-analyze the precision radial velocity (RV) data of HD 208487, HD 190360, HD 188015 and HD 114729. These stars are supposed to host Jovian companions in long-period orbits. Aims. We test a hypothesis that the residuals of the 1-planet model of the RV or an irregular scatter of the measurements about the synthetic RV curve may be explained by… (More)

We present a secular theory of a coplanar N-planet system, in the absence of mean motion resonances between the planets. This theory relies on the averaging of a perturbation to the two-body problem over the mean longitudes. We expand the perturbing Hamiltonian in Taylor series with respect to the ratios of semi-major axes which are considered as small… (More)

In the field of the Solar system and planetary dynamics, extensive computational experiments became useful and well established, standard research tools. These experiments regard direct numerical integrations of complex equations of motion to study the long-term orbital evolution and stability of various N-body systems (e.g., [10]), an analysis of the… (More)

- Krzysztof Gozdziewski, Cezary Migaszewski, Arek Musieliński
- 2008

We present an analysis of high precision radial velocity (RV) observations of stars hosting multiplanet systems with Jovian companions. We use dynamical stability constraints and quasi-global methods of optimization. As an illustration, we present new results derived for the RV data of the Sun-like dwarfs HD 155358 and τ Gruis.