Blocking In The Motions Of Celestial Bodies

The shade of the celestial bodies,which can reflect the kinematic motions and the dynamic information of the celestial bodies,are caused by selection effects,and has achieved great success in the fields of exoplanets and binary stars.The precise arrange-ment of the planets in our solar system has attracted astronomers for so long,and has contributed to the formation theory of planetary systems.However,exoplanets did not come into man's horizons until recent twenty years.A transit appears when a planet comes across its host star along the line of sight.Therefore,transit can tell the existence of the planet.Transit timing variations are caused by dynamical perturbations of multi-ple planets.Thus,masses of the planets can be determined.Similarly,eclipse appears when a star traverses another star along the line of sight.Eclipsing binary stars are important for the stellar formation and evolution.Eclipse timing variations are prob-ably caused by the third companion.Thus,multiple star systems can be detected.In this book,we present the progress of transiting planets and eclipsing binaries from two aspects of theoretics and observations,and describe the author's work on confirming exoplanets and eclipsing binaries.The first chapter gives a detailed theoretical derivation on transits.In consideration of the simplest case of two celestial bodies,brief kinematic equations can be established by taking appropriate reference frame.If the transiting model can be simplified,ideal transiting light curves can be obtained.If there are more than one planet in the system,then the question turns into motions of multiple celestial bodies.In consideration of two transiting planets,their perturbations can cause transit timing variations.If the two planes are near first-order mean motion resonance,then the perturbation function can be expanded to simple terms.And an analytical solution containing orbital eccentricities and masses can be obtained.This is a successful application of methods of celestial mechanics on transiting problems.The second chapter presents the observing progress of the exoplanets.The radial velocity and the transit method have found thousands of exoplanets.The first section in this chapter answers what the occurrence rate of the exoplanets is.The second section analyses the orbital architecture of known exoplanets,especially the distributions of the orbital semi-major axes and eccentricities.The third and the fourth section discuss the multiple transiting systems,especially parameter characteristics of planets in the same system and transit timing variations.In addition,the last section introduces the planets within binary stars,and concludes all the Kepler circumbinary systems.The third chapter describes the process of confirming Kepler planets by us.After the transit-timing-variance analysis of the 1350-day Kepler data,eight planets in four systems are verified.We have investigated each system,respectively.Planet masses are fitted using transiting light curves.Planet compositions are deduced from their densities.System stabilities are analyzed according to their architectures.All systems confirmed by us are compared with known Kepler planet pairs in first-order resonance.The fourth chapter gives the theoretical derivation and the observing progress on eclipsing binaries.Roche model is an important model because it takes into consid-eration the geometric deformation and the mass transfer,and because it can deter-mine which parameter can be obtained from the eclipsing light curves.The observing progress focuses on survey projects in recent twenty years,including searching variable star,monitoring lensing events,and detecting exoplanets.Several successful projects are discussed,e.g.ASAS,MACHO,OGLE,and Kepler.The fifth chapter describes the process of searching CSTAR eclipsing binaries by us.We have found 53 eclipsing binaries,including 24 detached systems,8 semi-detached systems,18 contact systems,and 3 ellipsoidal variables.We calculate the principle parameters of the eclipsing systems,and plot their statistical characteristics.According to their eclipse timing variations,two systems show evidence of potential companions,and several systems may have large stellar spots.The last chapter concludes the author's work on transiting planets and eclipsing binary stars,and states the current situation and future development prospect of transit and eclipse observations.Several projects on exoplanets and eclipsing binary stars led by China are underway,e.g.Antarctic Survey Telescope-?(AST-3),and Time-Domain Survey Telescope(TDST).A large amount of data is on the way.The relevant theories and methods,as well as the suit of pipeline developed when we process the light curves,can firmly ensure the data analysis and processing in the future.