29 research outputs found
Photometric observations of the supernova 2009nr
We present the results of our UBVRI CCD photometry for the second brightest
supernova of 2009, SN 2009nr, discovered during a sky survey with the
telescopes of the MASTER robotic network. Its light and color curves and
bolometric light curves have been constructed. The light-curve parameters and
the maximum luminosity have been determined. SN 2009nr is shown to be similar
in light-curve shape and maximum luminosity to SN 1991T, which is the prototype
of the class of supernovae Ia with an enhanced luminosity. SN 2009nr exploded
far from the center of the spiral galaxy UGC 8255 and most likely belongs to
its old halo population. We hypothesize that this explosion is a consequence of
the merger of white dwarfs
Optical polarization observations with the MASTER robotic net
We present results of optical polarization observations performed with the
MASTER robotic net for three types of objects: gamma-ray bursts, supernovae,
and blazars. For the Swift gamma-ray bursts GRB100906A, GRB110422A, GRB121011A,
polarization observations were obtained during very early stages of optical
emission. For GRB100906A it was the first prompt optical polarization
observation in the world. Photometry in polarizers is presented for Type Ia
Supernova 2012bh during 20 days, starting on March 27, 2012. We find that the
linear polarization of SN 2012bh at the early stage of the envelope expansion
was less than 3%. Polarization measurements for the blazars OC 457, 3C 454.3,
QSO B1215+303, 87GB 165943.2+395846 at single nights are presented. We infer
the degree of the linear polarization and polarization angle. The blazars OC
457 and 3C 454.3 were observed during their periods of activity. The results
show that MASTER is able to measure substantially polarized light; at the same
time it is not suitable for determining weak polarization (less than 5%) of dim
objects (fainter than 16). Polarimetric observations of the optical
emission from gamma-ray bursts and supernovae are necessary to investigate the
nature of these transient objects.Comment: 31 pages, 12 figures, 4 tables; Exposure times in Table 2 have been
correcte
Peculiar velocities of supernovae Ia in clusters of galaxies
ΠΠ°Π±Π»ΡΠ΄Π΅Π½ΠΈΡ ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
Ia ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΠΎΡΠ΅Π½ΠΈΡΡ Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΠΊΠΎΡΠΌΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΏΡΠΈ ΠΏΠΎΠΌΠΎΡΠΈ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΡ Π₯Π°Π±Π±Π»Π°. Π ΠΏΠ΅ΡΠ²ΡΡ ΠΎΡΠ΅ΡΠ΅Π΄Ρ ΡΠ°ΠΊΠΈΠ΅ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΡ Π΄Π°ΡΡ Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΉ Π₯Π°Π±Π±Π»Π°, ΠΊΠΎΡΠΎΡΠ°Ρ ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΎΠ΄Π½ΠΈΠΌ ΠΈΠ· ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
ΠΊΠΎΡΠΌΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ². ΠΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ ΡΠΎΡΠ½ΠΎΡΡΠΈ ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈΠΉ Π΄Π°Π½Π½ΠΎΠΉ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ Π²Π°ΠΆΠ½ΡΡ Π·Π°Π΄Π°ΡΡ Π΄Π»Ρ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΠΊΠΎΡΠΌΠΎΠ»ΠΎΠ³ΠΈΠΈ, ΠΏΠΎΡΡΠΎΠΌΡ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΡΡΠΈΡΡΠ²Π°ΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΠΏΠ΅ΠΊΡΠ»ΡΡΠ½ΡΡ
ΡΠΊΠΎΡΠΎΡΡΠ΅ΠΉ ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
Π½Π° ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΊΡΠ°ΡΠ½ΠΎΠ³ΠΎ ΡΠΌΠ΅ΡΠ΅Π½ΠΈΡ, ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌΠΎΠ΅ ΠΏΡΠΈ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΠΈ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΡ Π₯Π°Π±Π±Π»Π°. ΠΡ ΠΈΠ·ΡΡΠ°Π΅ΠΌ Π²ΠΊΠ»Π°Π΄ ΠΏΠ΅ΠΊΡΠ»ΡΡΠ½ΡΡ
ΡΠΊΠΎΡΠΎΡΡΠ΅ΠΉ, ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π½ΡΡ
Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΠ΅ΠΌ ΡΠΎΠ΄ΠΈΡΠ΅Π»ΡΡΠΊΠΈΡ
Π³Π°Π»Π°ΠΊΡΠΈΠΊ Π² ΠΏΠΎΠ»Π΅ ΡΡΠ³ΠΎΡΠ΅Π½ΠΈΡ ΡΠΊΠΎΠΏΠ»Π΅Π½ΠΈΡ Π³Π°Π»Π°ΠΊΡΠΈΠΊ, Π΄Π»Ρ ΠΊΠΎΡΠΌΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ Π²ΡΠ±ΠΎΡΠΊΠΈ ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
Pantheon.Observations of supernovae Ia make it possible to estimate the values of cosmological parameters using the Hubble diagram. First of all, such observations give us a value of the Hubble constant, which is one of the most important cosmological parameters. Improving the accuracy of measurements of this parameter is a priority for modern cosmological analysis. Therefore, it is necessary to take into account the influence of the peculiar velocities of supernovae Ia on the measurement of the redshift, which is used in constructing the Hubble diagram. We study the contribution of peculiar velocities due to the motion of host galaxies in the gravitational field of galaxy clusters for a cosmological sample of supernovae Pantheon.Π. Π. Π. Π±Π»Π°Π³ΠΎΠ΄Π°ΡΠΈΡ Π€ΠΎΠ½Π΄ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΠ·ΠΈΠΊΠΈ ΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ Β«ΠΠΠΠΠ‘Β» 20-2-1-34-1. ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΎ ΠΏΡΠΈ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ ΠΠ΅ΠΆΠ΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½Π°ΡΠ½ΠΎΠΉ Π½Π°ΡΡΠ½ΠΎ-ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΊΠΎΠ»Ρ ΠΠΎΡΠΊΠΎΠ²ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ° Β«Π€ΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΊΠΎΡΠΌΠΎΡΠ°Β»
`Pure' Supernovae and Accelerated Expansion of the Universe
A special class of type Ia supernovae that is not subject to ordinary and
additional intragalactic gray absorption and chemical evolution has been
identified. Analysis of the Hubble diagrams constructed for these supernovae
confirms the accelerated expansion of the Universe irrespective of the chemical
evolution and possible gray absorption in galaxies.Comment: 2 figures, 1 tabl
Vector Gaussian Processes and Their Application to Supernova Light Curve Modelling
Π Π°Π±ΠΎΡΠ° ΠΏΠΎΡΠ²ΡΡΠ΅Π½Π° ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠ΅ Π°ΡΡΡΠΎΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΡ
Π΄Π°Π½Π½ΡΡ
ΠΏΡΠΈ ΠΏΠΎΠΌΠΎΡΠΈ Π²Π΅ΠΊΡΠΎΡΠ½ΡΡ
Π³Π°ΡΡΡΠΎΠ²ΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ². ΠΡ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π»ΠΈ Π·Π°Π΄Π°ΡΡ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΡΠ²Π΅ΡΠ½ΡΡ
ΠΊΡΠΈΠ²ΡΡ
Π±Π»Π΅ΡΠΊΠ° ΡΠ²Π΅ΡΡ
ΠΌΠΎΡΠ½ΡΡ
ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
, ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΡ
Π² ΠΡΠΊΡΡΡΠΎΠΌ ΠΊΠ°ΡΠ°Π»ΠΎΠ³Π΅ ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
. Π Π²ΡΠ±ΠΎΡΠΊΡ Π²ΠΎΡΠ»ΠΈ ΠΎΠ±ΡΠ΅ΠΊΡΡ, ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π½ΡΠ΅ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎ, ΠΈΠΌΠ΅ΡΡΠΈΠ΅ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΡ ΠΌΠΈΠ½ΠΈΠΌΡΠΌ Π² ΡΡΠ΅Ρ
ΡΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΠ»ΠΎΡΠ°Ρ
. ΠΠΎΡΠ»Π΅ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ Π²Π΅ΠΊΡΠΎΡΠ½ΡΠΌΠΈ Π³Π°ΡΡΡΠΎΠ²ΡΠΌΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ°ΠΌΠΈ ΠΈΠ· Π²ΡΠ±ΠΎΡΠΊΠΈ ΠΎΡΠ±ΡΠ°ΡΡΠ²Π°Π»ΠΈΡΡ ΡΠ΅ ΠΎΠ±ΡΠ΅ΠΊΡΡ, ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π°Ρ ΡΠ²Π΅ΡΠΈΠΌΠΎΡΡΡ ΠΊΠΎΡΠΎΡΡΡ
ΠΏΡΠΈΡ
ΠΎΠ΄ΠΈΠ»Π°ΡΡ Π½Π° ΠΏΠ΅ΡΠ²ΡΠ΅ ΠΈΠ»ΠΈ ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ ΡΠ΅ΡΡΡ Π΄Π½Π΅ΠΉ Π½Π°Π±Π»ΡΠ΄Π΅Π½ΠΈΠΉ. Π’Π°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ, Π±ΡΠ»ΠΎ ΠΎΡΠΎΠ±ΡΠ°Π½ΠΎ 29 ΡΠ²Π΅ΡΡ
ΠΌΠΎΡΠ½ΡΡ
ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
. ΠΠΎΡΠ»Π΅ ΡΠΎΠ³ΠΎ ΠΊΠ°ΠΊ Π΄Π»Ρ Π²ΡΠ΅Ρ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² ΠΈΠ· Π²ΡΠ±ΠΎΡΠΊΠΈ Π±ΡΠ»ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ ΠΌΠ½ΠΎΠ³ΠΎΡΠ²Π΅ΡΠ½ΡΡ
ΠΊΡΠΈΠ²ΡΡ
Π±Π»Π΅ΡΠΊΠ°, ΠΌΡ ΠΏΠΎΡΡΡΠΎΠΈΠ»ΠΈ ΠΏΠΎ Π½ΠΈΠΌ Π±ΠΎΠ»ΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΊΡΠΈΠ²ΡΠ΅ Π±Π»Π΅ΡΠΊΠ° Π² ΡΠ΅ΡΠ½ΠΎΡΠ΅Π»ΡΠ½ΠΎΠΌ ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ.This work is devoted to the astrophysical data processing using vector Gaussian processes. We considered the problem of approximating multicolor light curves of superluminous supernovae taken from the Open Supernova Catalog. Sample included objects that were spectroscopically confirmed, had observations in at least three photometric bands. After approximations by vector Gaussian processes those objects were discarded from the sample, which maximum luminosity was in the first or last six days of observations. Thus, 29 SLSNe remained in the sample under study. After all objects from the sample were approximated, we constructed bolometric light curves for them in black body approximation.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΎ ΠΏΡΠΈ ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠΉ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ Π Π€Π€Π ΠΈ ΠΠ°ΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ΅Π½ΡΡΠ° Π½Π°ΡΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π€ΡΠ°Π½ΡΠΈΠΈ Π² ΡΠ°ΠΌΠΊΠ°Ρ
Π½Π°ΡΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΠ΅ΠΊΡΠ° No 21-52-15024, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠΈ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ ΠΠ΅ΠΆΠ΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½Π°ΡΠ½ΠΎΠΉ Π½Π°ΡΡΠ½ΠΎ-ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠΊΠΎΠ»Ρ ΠΠΎΡΠΊΠΎΠ²ΡΠΊΠΎΠ³ΠΎ ΡΠ½ΠΈΠ²Π΅ΡΡΠΈΡΠ΅ΡΠ° Β«Π€ΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΊΠΎΡΠΌΠΎΡΠ°Β»
The optical identifcation of events with poorly defined locations: The case of the Fermi GBM GRB140801A
We report the early discovery of the optical afterglow of gamma-ray burst
(GRB) 140801A in the 137 deg 3- error-box of the Fermi Gamma-ray
Burst Monitor (GBM). MASTER is the only observatory that automatically react to
all Fermi alerts. GRB 140801A is one of the few GRBs whose optical counterpart
was discovered solely from its GBM localization. The optical afterglow of GRB
140801A was found by MASTER Global Robotic Net 53 sec after receiving the
alert, making it the fastest optical detection of a GRB from a GBM error-box.
Spectroscopy obtained with the 10.4-m Gran Telescopio Canarias and the 6-m BTA
of SAO RAS reveals a redshift of . We performed optical and
near-infrared photometry of GRB 140801A using different telescopes with
apertures ranging from 0.4-m to 10.4-m. GRB 140801A is a typical burst in many
ways. The rest-frame bolometric isotropic energy release and peak energy of the
burst is erg and
keV, respectively, which is consistent with the
Amati relation. The absence of a jet break in the optical light curve provides
a lower limit on the half-opening angle of the jet deg. The
observed is consistent with the limit derived from the
Ghirlanda relation. The joint Fermi GBM and Konus-Wind analysis shows that GRB
140801A could belong to the class of intermediate duration. The rapid detection
of the optical counterpart of GRB 140801A is especially important regarding the
upcoming experiments with large coordinate error-box areas.Comment: in press MNRAS, 201
The Influence of Host Galaxy Morphology on the Properties of Type IA Supernovae
In this work we determine the correlation between host galaxy morphology and light curve parameters of Type Ia supernovae. The analysis is based on the data from Pantheon cosmological sample of 1048 supernovae. We confirm that the stretch-parameter depends on the host morphology, but there is no any correlation for the color. We stress the importance of including the host morphology term to the standardization procedure of Type Ia supernovae.Π ΡΠ°Π±ΠΎΡΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΡ ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΠΈ ΡΠΎΠ΄ΠΈΡΠ΅Π»ΡΡΠΊΠΎΠΉ Π³Π°Π»Π°ΠΊΡΠΈΠΊΠΈ Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ°ΠΌΠΈ ΠΊΡΠΈΠ²ΡΡ
Π±Π»Π΅ΡΠΊΠ° ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
ΡΠΈΠΏΠ° Ia (Π‘Π Ia). ΠΠ½Π°Π»ΠΈΠ· ΠΎΡΠ½ΠΎΠ²Π°Π½ Π½Π° Π΄Π°Π½Π½ΡΡ
Π²ΡΠ±ΠΎΡΠΊΠΈ ΠΊΠΎΡΠΌΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
Π‘Π Ia Pantheon. ΠΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½ΠΎ Π½Π°Π»ΠΈΡΠΈΠ΅ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° ΡΠ°ΡΡΡΠΆΠ΅Π½ΠΈΡ ΠΎΡ ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΠΈ ΡΠΎΠ΄ΠΈΡΠ΅Π»ΡΡΠΊΠΎΠΉ Π³Π°Π»Π°ΠΊΡΠΈΠΊΠΈ, Π½ΠΎ Ρ ΡΠ²Π΅ΡΠΎΠΌ Π½ΠΈΠΊΠ°ΠΊΠΎΠΉ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΈ Π½Π΅Ρ. ΠΡ ΠΏΠΎΠ΄ΡΠ΅ΡΠΊΠΈΠ²Π°Π΅ΠΌ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΡ ΡΡΠ΅ΡΠ° ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠΏΠ° ΡΠΎΠ΄ΠΈΡΠ΅Π»ΡΡΠΊΠΎΠΉ Π³Π°Π»Π°ΠΊΡΠΈΠΊΠΈ Π² ΠΏΡΠΎΡΠ΅Π΄ΡΡΠ΅ ΡΡΠ°Π½Π΄Π°ΡΡΠΈΠ·Π°ΡΠΈΠΈ ΡΠ²Π΅ΡΡ
Π½ΠΎΠ²ΡΡ
ΡΠΈΠΏΠ° Ia.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π²ΡΠΏΠΎΠ»Π½Π΅Π½ΠΎ Π·Π° ΡΡΠ΅Ρ Π³ΡΠ°Π½ΡΠ° Π ΠΎΡΡΠΈΠΉΡΠΊΠΎΠ³ΠΎ Π½Π°ΡΡΠ½ΠΎΠ³ΠΎ ΡΠΎΠ½Π΄Π° (ΠΏΡΠΎΠ΅ΠΊΡ β 18-72-00159) ΠΈ ΠΏΡΠΈ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠ΅ ΠΡΠΎΠ³ΡΠ°ΠΌΠΌΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΠΠ£ Β«ΠΡΠ΄Π°ΡΡΠΈΠ΅ΡΡ Π½Π°ΡΡΠ½ΡΠ΅ ΡΠΊΠΎΠ»Ρ ΠΠΠ£: Π€ΠΈΠ·ΠΈΠΊΠ° Π·Π²Π΅Π·Π΄, ΡΠ΅Π»ΡΡΠΈΠ²ΠΈΡΡΡΠΊΠΈΡ
ΠΊΠΎΠΌΠΏΠ°ΠΊΡΠ½ΡΡ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² ΠΈ Π³Π°Π»Π°ΠΊΡΠΈΠΊΒ»