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The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each other: the draconitic, anomalistic and sidereal periods. They all coincide in the Keplerian…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Lorenzo Iorio

In an effort to measure the masses of planets discovered by the NASA {\it K2} mission, we have conducted precise Doppler observations of five stars with transiting planets. We present the results of a joint analysis of these new data and…

The observation data for artificial celestial body 43096, which had been obtained during 2006-2012 within the framework of international project "The Scientific Network of Optical Instruments for Astrometric and Photometric Observations" -…

Earth and Planetary Astrophysics · Physics 2014-04-18 A. A. Bazyey , N. V. Bazyey , V. I. Kashuba , S. G. Kashuba , V. V. Kouprianov , I. E. Molotov , Z. N. Khutorovsky , L. G Tsybizova

In previous papers, we developed a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular. We considered systems with well separated components and different initial…

Earth and Planetary Astrophysics · Physics 2014-08-28 Nikolaos Georgakarakos

(Abridged) We investigate the dynamical evolution of coplanar hierarchical two-planet systems where the ratio of the orbital semimajor axes alpha=a_1/a_2 is small. The orbital parameters obtained from a multiple Kepler fit to the radial…

Astrophysics · Physics 2009-11-07 Man Hoi Lee , S. J. Peale

We derive octupole-level secular perturbation equations for hierarchical triple systems, using classical Hamiltonian perturbation techniques. By extending previous work done to leading (quadrupole) order to octupole level (i.e., including…

Astrophysics · Physics 2009-10-31 Eric B. Ford , Boris Kozinsky , Frederic A. Rasio

At the second post-Newtonian (2PN) order, the secular pericentre precession $\dot\omega^\mathrm{2PN}$ of either a full two-body system made of well detached non-rotating monopole masses of comparable size and a restricted two-body system…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Lorenzo Iorio

The Kepler space mission has detected a large number of exoplanets in multiple transiting planet systems. Previous studies found that these Kepler multiple planet systems exhibit an intra-system uniformity, namely planets in the same system…

Earth and Planetary Astrophysics · Physics 2020-09-30 Chao-Feng Jiang , Ji-Wei Xie , Ji-Lin Zhou

Binary systems comprise approximately 15 per cent of the near-Earth asteroid population, yet thermal-infrared data are often interpreted for these bodies as if they are single objects. Thermal-IR light curves of binary asteroids (3905)…

Earth and Planetary Astrophysics · Physics 2024-09-20 Samuel L. Jackson , Benjamin Rozitis

With the advent of adaptive optics on the W. M. Keck 10 m telescope, two significant steps forward have been taken in building the case for a supermassive black hole at the center of the Milky Way and understanding the black hole's effect…

Astrophysics · Physics 2009-11-07 A. M. Ghez , E. Becklin , G. Duchene , S. Hornstein , M. Morris , S. Salim , A. Tanner

High-multiplicity Kepler systems (referred to as Kepler multis) are often tightly packed and may be on the verge of instability. Many systems of this type could have experienced past instabilities, where the compact orbits and often low…

Earth and Planetary Astrophysics · Physics 2017-08-02 Jason A. Hwang , Jason H. Steffen , James C. Lombardi , Frederic A. Rasio

Light curve modulations in the sample of Kepler planet candidates allows the disentangling of the nature of the transiting object by photometrically measuring its mass. This is possible by detecting the effects of the gravitational pull of…

Earth and Planetary Astrophysics · Physics 2016-07-20 J. Lillo-Box , A. Ribas , D. Barrado , B. Merín , H. Bouy

In an effort to determine accurate orbital and physical properties of a large number of bright stars, a method was developed to fit simultaneously stellar parameters (masses, luminosities, effective temperatures), distance, and orbits to…

Solar and Stellar Astrophysics · Physics 2024-10-21 Dinko Nazor , Andrei Tokovinin

We report the detection of stellar eclipses in the LP 661-13 system. We present the discovery and characterization of this system, including high resolution spectroscopic radial velocities and a photometric solution spanning two observing…

In 2007, the M-type binary asteroid 22 Kalliope reached one of its annual equinoxes. As a consequence, the orbit plane of its small moon, Linus, was aligned closely to the Sun's line of sight, giving rise to a mutual eclipse season. A…

Spectroscopic and eclipsing binary systems offer the best means for determining accurate physical properties of stars, including their masses and radii. The data available for low-mass stars have yielded firm evidence that stellar structure…

Detailed numerical analyses of the orbital motion of a test particle around a spinning primary are performed. They aim to investigate the possibility of using the post-Keplerian (pK) corrections to the orbiter's periods (draconitic,…

Astrophysics of Galaxies · Physics 2017-06-02 Lorenzo Iorio , Fupeng Zhang

In this study we identify 11 Kepler systems (KIC 5255552, 5653126, 5731312, 7670617, 7821010, 8023317, 10268809, 10296163, 11519226, 11558882 and 12356914) with a "flip-flop" effect in the eclipse timing variations O-C diagrams of the…

Solar and Stellar Astrophysics · Physics 2020-09-02 A. K. Getley , B. Carter , R. King , S. O'Toole

We investigate the temporal spot evolution of the K-giant component in the RS CVn-type binary system $\zeta$\,Andromedae to establish its surface differential rotation. Doppler imaging is used to study three slightly overlapping…

Solar and Stellar Astrophysics · Physics 2015-06-03 Zs. Kővári , H. Korhonen , L. Kriskovics , K. Vida , J. -F. Donati , H. Le Coroller , J. D. Monnier E. Pedretti , P. Petit

The results of the numerical investigations of the evolution of orbits of trans-Neptunian bodies at the 2 : 3 resonance with Neptune are presented. The gravitational influence of the four giant planets was taken into account. For identical…

Earth and Planetary Astrophysics · Physics 2024-12-19 S. I. Ipatov , J. Henrard