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Related papers: A Consistent Orbital Stability Analysis for the GJ…

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We present a new precision radial velocity dataset that reveals a multi-planet system orbiting the G0V star HD 34445. Our 18-year span consists of 333 precision radial velocity observations, 56 of which were previously published, and 277…

Many features of the outer solar system are replicated in numerical simulations if the giant planets undergo an orbital instability that ejects one or more ice giants. During this instability, Jupiter and Saturn's orbits diverge, crossing…

Earth and Planetary Astrophysics · Physics 2015-12-09 Nathan A. Kaib , John E. Chambers

In this work we study the orbital stability/instability in the energy space of a specific family of periodic wave solutions of the general $\phi^{4n}$-model for all $n\in\mathbb{N}$. This family of periodic solutions are orbiting around the…

Analysis of PDEs · Mathematics 2020-08-12 Gong Chen , José M. Palacios

In the last few years, a number of planets have been proposed to orbit several post main-sequence binary star systems on the basis of observed variations in the timing of eclipses between the binary components. A common feature of these…

Earth and Planetary Astrophysics · Physics 2014-01-28 Jonathan Horner , Robert Wittenmyer , Tobias Hinse , Jonathan Marshall , Alex Mustill

?In this work, we study the orbital stability of stationary solutions to the relativistic Vlasov-Manev system. This system is a kinetic model describing the evolution of a stellar system subject to its own gravity with some relativistic…

Analysis of PDEs · Mathematics 2013-03-26 Cyril Rigault

We investigate the radial velocity variation of GJ 581 based on measurements from the HARPS and Keck HIRES spectrographs. A Fourier pre-whitening procedure is able to extract four planetary signals in the HARPS data and two from the Keck…

Solar and Stellar Astrophysics · Physics 2015-06-16 Artie P. Hatzes

High precision, high cadence radial velocity monitoring over the past 8 years at the W. M. Keck Observatory reveals evidence for a third planet orbiting the nearby (4.69 pc) dM4 star GJ 876. The residuals of three-body Newtonian fits, which…

The final orbital configuration of a planetary system is shaped by both its early star-disk environment and late-stage gravitational interactions. Assessing the relative importance of each of these factors is not straightforward due to the…

Earth and Planetary Astrophysics · Physics 2022-11-14 Jassyr Salas , Frank Bautista , Germán Chaparro

We have performed a series of high resolution N-body experiments on a Connection Machine CM-5 in order to study the stability of collisionless self-gravitating spherical systems. We interpret our results in the framework of symplectic…

Astrophysics · Physics 2015-06-24 J. Perez , J-M Alimi , J-J Aly , H. Scholl

We present an updated study of the planets known to orbit 55 Cancri A using 1,418 high-precision radial velocity observations from four observatories (Lick, Keck, Hobby-Eberly Telescope, Harlan J. Smith Telescope) and transit time/durations…

If an orbit is fitted from combined RV and astrometric data, the orbit should be physically consistent with both data sets. The Keplerian orbit of a planet is a highly nonlinear function of seven parameters. The astrometric orbit problem…

Earth and Planetary Astrophysics · Physics 2010-08-23 Joseph H. Catanzarite

Here we present an initial look at the dynamics and stability of 178 multiplanetary systems which are already confirmed and listed in the NASA Exoplanet Archive. To distinguish between the chaotic and regular nature of a system, the value…

Earth and Planetary Astrophysics · Physics 2022-12-02 Pavol Gajdoš , Martin Vaňko

We present a test for spin-orbit alignment for the host stars of 25 candidate planetary systems detected by the {\it Kepler} spacecraft. The inclination angle of each star's rotation axis was estimated from its rotation period, rotational…

Earth and Planetary Astrophysics · Physics 2015-06-18 Teruyuki Hirano , Roberto Sanchis-Ojeda , Yoichi Takeda , Joshua N. Winn , Norio Narita , Yasuhiro H. Takahashi

We investigated the underlying architecture of planetary systems by deriving the distribution of planet multiplicity (number of planets) and the distribution of orbital inclinations based on the sample of planet candidates discovered by the…

Earth and Planetary Astrophysics · Physics 2015-06-05 Julia Fang , Jean-Luc Margot

We give a self-contained modern linear stability analysis of a system of n equal mass bodies in circular orbit about a single more massive body. Starting with the mathematical description of the dynamics of the system, we form the linear…

Astrophysics · Physics 2009-11-11 Robert J. Vanderbei , Egemen Kolemen

The presence of A/F-type {\it Kepler} hybrid stars extending across the entire $\delta$ Sct-$\gamma$ Dor instability strips and beyond remains largely unexplained. In order to better understand these particular stars, we performed a…

Solar and Stellar Astrophysics · Physics 2021-03-31 P. Lampens , L. Vermeylen , Y. Frémat , Á. Sódor , M. Skarka , A. Samadi-Ghadim , Zs. Bognár , H. Lehmann , P. De Cat , A. Goswami , L. Dumortier

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,…

Astrophysics · Physics 2007-05-23 Krzysztof Gozdziewski , Maciej Konacki , Alex Wolszczan

We present the results of a Herschel survey of 21 late-type stars that host planets discovered by the radial velocity technique. The aims were to discover new disks in these systems and to search for any correlation between planet presence…

Determining the orbital eccentricity of an extrasolar planet is critically important for understanding the system's dynamical environment and history. However, eccentricity is often poorly determined or entirely mischaracterized due to poor…

The nonlinear stability domain of Lagrange's celebrated 1772 solution of a three-body problem is obtained numerically as a function of the masses of the bodies and the common eccentricity of their Keplerian orbits. This domain shows that…

Astrophysics · Physics 2007-05-23 Michael Nauenberg