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Formation of images and light rays bended by the gravitational field of a body.

Formation of images and light rays bended by the gravitational field of a body.

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Foundations of standard theory of microlensing are described, namely we consider microlensing stars in Galactic bulge, the Magellanic Clouds or other nearby galaxies. We suppose that gravitational microlenses lie between an Earth observer and these stars. Criteria of an identification of microlensing events are discussed. We also consider such micr...

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Foundations of standard microlensing theory are discussesd as applied to stars in the Galactic bulge, Magellanic Clouds or other nearby galaxies and gravitational microlenses assumed to lie in-between these stars and the terrestrial observer. In contrast to the review article by Gurevich et al. [48], microlensing by compact objects is mainly consid...
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Foundations of standard theory of microlensing are described, namely we consider microlensing stars in Galactic bulge, the Magellanic Clouds or other nearby galaxies. We suppose that gravitational microlenses lie between an Earth observer and these stars. Criteria of an identification of microlensing events are discussed. We also consider such micr...

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Different regimes of gravitational lensing depend on lens masses and roughly correspond to angular distance between images. If a gravitational lens has a typical stellar mass, this regime is named a microlensing because a typical angular distance between images is about microarcseconds in the case when sources and lenses are located at cosmological distances. An angular distance depends on a lens mass as a square root and therefore, if a lens has a typical Earth-like planet mass of 10-6M⊙, such a regime is called nanolensing. Thus, generally speaking, one can call a regime with a planet mass lens a nanolensing (independently on lens and source locations). So, one can name searches for planets with gravitational lens method a gravitational nanolensing. There are different methods for finding exoplanets such as radial spectral shifts, astrometrical measurements, transits, pulsar timing etc. Gravitational microlensing (including pixel-lensing) is among the most promising techniques if we are interested to find Earth-like planets at distances about a few astronomical units from the host star.
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Gravitational lensing is based on the gravitational light bending effect. It can be visualized as if a gravitating body attracts photons. In the simplest case of a point-like gravitational lens, the angular distances between images are on the order of the Einstein +- Chwolson diameter, which is proportional to the square root of the lens mass. At cosmological distances between objects and the typical mass of the lensing galaxy, the angular distance between images is on the order of a few arcseconds. The corresponding characteristic time of microlensing is usually determined as the half-time it takes for the lens to cross the Einstein +- Chwolson cone. The searches for microlensing events are closely related to the question of dark matter (DM). The gravitational microlensing of a star by another star produces a symmetric and achromatic light curve, which is the main signature of the phenomenon. he most effective method of discovering exoplanets is based on radial velocity measurements using the HARPS (High Accuracy Radial velocity Planet Searcher) spectrograph.
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Foundations of standard theory of microlensing are described, namely we consider microlensing stars in Galactic bulge, the Magellanic Clouds or other nearby galaxies. We suppose that gravitational microlenses lie between an Earth observer and these stars. Criteria of an identification of microlensing events are discussed. We also consider such microlensing events which do not satisfy these criteria (non-symmetrical light curves, chromatic effects, polarization effects). We describe results of MACHO collaboration observations towards the Large Magellanic Cloud (LMC) and the Galactic bulge. Results of EROS observations towards the LMC and OGLE observations towards the Galactic bulge are also presented. Future microlensing searches are discussed.
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Different regimes of gravitational lensing depend on lens masses and roughly correspond to angular distance between images. If a gravitational lens has a typical stel-lar mass, this regime is named microlensing because the typical angular distance between images is about microarcseconds in the case for sources and lenses at cosmological dis-tances. The angular distance depends on as a squared root of lens mass and therefore, for Earth-like planet mass lens (10 −6 M), such a regime is called nanolensing. So, one can name searches for exoplanets with gravitational lens method as gravitational nanolensing. There are different methods for finding exoplanets such as radial spectral shifts, astrometri-cal measurements, transits, timing etc. Gravitational microlensing (including pixel-lensing) is among the most promising techniques with the potentiality of detecting Earth-like planets at distances about a few astronomical units from their host star.
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