Comparison of three catalogues of absolute proper motions of stars in the M33 field

Comparing absolute proper motions of stars obtained by different methods from observations with the Tautenburg Schmidt telescope (134/200/400), the Kiev long focus astrograph (40/550) and the Pulkovo normal astrograph (33/350) the external accuracy of the Tautenburg absolute proper motions was examined. It agrees well with the Tautenburg internal accuracy which is known from earlier investigations as 0″.7 per century. That accuracy was now achieved for all AGK3 stars in the M33 field including the bright stars from 7^m to 10^m.     

Search for Optical Identifications in the 5C3-Radio Survey II. Statistical Treatment and Results

On plates of the large Schmidt-telescope of Karl-Schwarzschild-Observatory Tautenburg, taken by F. BÖRNGEN, 139 radio sources of the ₅C₃ area were inspected for possible identifications with optical objects. The results are published in paper I and in the appendix of the present paper II. A detailed analysis of these objects showed a relatively large number of about 65 real identifications up to the utmost plate limit B ≈ 21^m.7, which corresponds to an identification rate of about 47%. The individual reliability of each possible optical identification is estimated (table 6). Apparently the identified objects (see tables 4 and 6) are galaxies, “blue” and “neutral” quasars, and one H II-region of the Andromeda nebula. It is of great cosmological interest that no “red” quasars could be found.     

Search and Photographic Photometry of Ultraviolet Excess Objects in the Region of the 5C1 Radio Survey

A sample of ultraviolet excess objects in a 12.56 square degree field near α = 9^h40^m, δ = +50° (5C1-radio survey) is presented. In addition to starlike or and nearly starlike objects a sample of more diffuse ones is listed, presumably containing many Markarjan-type galaxies. UBV-photometry and first spectroscopic results are communicated; the number magnitude relation and the projected number-density of the objects are shortly discussed.     

Search for LBV candidates in the M33 galaxy

A total of 185 luminous blue variable star (LBV) candidates with V<18_·^m 5 are selected based on the results of aperture photometry. The primary selection criterion is that the prospective candidate should be a blue star with Hα emission. In order not to overlook appreciably reddened LBV candidates, we compose an additional list of 25 red (0_·^m35< B − V < 1_·^m2, V < 18_·^m5) emission star candidates. A comparison with the list of known variables in the M33 galaxy showed 29% of our selected candidates to be photometrically variable. We also find our list to agree well with the lists of emission-line objects obtained in earlier papers using different methods.     

Young stars in the disk of M82

We present CCD VI_C photometry in a field 1.9 − 1.3 square arcmin and positioned about 3 arcmin north-east of the centre of M82. More than 100 stars have been identified and measured above the photometric limits V = 23^m.5, I = 22^m. Most of the objects fainter than V ≈︁ 20^m should be members of M82 as expected from the statistics of foreground stars. Starlike as well as 2–3 somewhat diffuse objects - candidates of globular clusters - preferentially occupy yellow colours in the colour-magnitude diagram; extreme blue and red objects are missing. The colour-magnitude diagram indicates continuing star formation in this part of the disk. The absence of blue stars is caused by reddening; no convincing explanation is found for the missing red supergiants. Young stars are distributed throughout the whole field, the youngest being concentrated in associations at the SW edge of the field. To cope with the very irregular background created by the galaxy' s main body and with the low contrast of many of the stars against this background, a modified photometric method is introduced in which the background is estimated using the intensities in a ring drawn very tightly around the star in the wings of the point spread function.     

Isotropization by scalar field driven inflation and the cosmological quantum boundary

We derive the Wheeler-de Witt equation for the scalar field of mass m > 0 in a Bianchi-type I universe. We argue that classical trajectories become possible at h² ⩽ αt_p^-2, h being the mean Hubble value and t_p the Planck time. We feel justified to set the numerical constant α ≈︁ 1. We discuss this condition in geometrically invariant quantities and compare it with ⩽t_p^-4. The proposed quantum boundary of classical trajectories represents a 3-dimensional sphere in the 4-space of the dynamical system. Equipartition of the initial energy over field (m < m_p) and shear variables at the quantum boundary will cause inflation with a probability p of the order p = 1 - m/m_p thus, p = 1 - 10^-4 for m taken from GUT. In the course of the inflationary stage the initially arbitrarily large shear-anisotropy exponentially decays.     

Physical studies of asteroids IX: The light curve of the M asteroid 77 Frigga

The results of photoelectricUBV observations of asteroid 77 Frigga during the 1982 opposition are presented. From eight nights of observations at phase angles smaller than 2 _o ^. 8 a synodic period of 0 _d ^. 3755±0 _d ^. 0006 is derived. The light curve appears very symmetric with two maxima per period and an amplitude of 0 _m ^. 19. The primary maximum corresponds toV(0^o)=8 _m ^. 58, and the colour indices are:B–V = 0 _. ^m 738 ± 0 _. ^m 003 andU–B = 0 _. ^m 200 ± 0 _. ^m 002.     

Search for Optical Identifications in the 5C1 Radio Survey

Identifications of 5CI radio sources with optical objects are given. The identification rates amount to 44 and 30 per cent up to the limiting magnitude of about 21^m in R and B, respectively. The objects are to about equal parts galaxies, blue starlike objects, and “unclassified objects” (presumably mostly faint galaxies and less pronounced blue objects). For every proposed identification a reliability and for the identification samples the reliability and the completeness are given. Some inaccuracies in the use of a statistical method, proposed in a previous paper, have been removed; two additional means of statistical treatment have been applied to discuss the data.     

On the instability region around the 5 : 3 Jovian resonance

Variations in the dynamic parameters of Phobos have been determined after reaching critical value of the semi-major axis = 7247 km at which zero-gravity on the surface of Phobos near the equator will take place. The rate of the variations will increase significantly, e.g., in the tidal energy dissipation by one order in magnitude. The total dissipated mechanical energy during the whole tidal history of the system has been estimated as -5.5 × 10²¹ kg m² s^-2, the total decrease in the second zonal Stokes parameter of Phobos as -6.6 × 10^-2.     

Astrometric catalogue of stars in the KMAC3 equatorial zone

The catalogue of positions and stellar V magnitudes of up to 17 ^m stars in the declination zone from 2° to 5.5° has been compiled. The catalogue includes 2.05 × 10⁶ stars and is based on the observations performed in 2010–2015 on the meridian axial circle (MAC) of GAO NAN Ukraine and the Astronomical Observatory of Taras Shevchenko National University. The errors of the positions and photometry for stars of 11–14 magnitude are 0.06″–0.08″ and 0.04 ^m –0.08 ^m , respectively.     

Magnetic field energy as a source of the radio luminosity of quasars

Energy release in the superconducting core of a neutron star as neutron vortices move toward the boundary of the star’s core and crust is examined. It is shown that the rate of energy release is on the order of 10²⁶-10³⁰ erg/s, or sufficient to provide the radio luminosity of known pulsars. The energy release rates calculated under the assumption of asymmetric energy release are compared with observational data on the radio luminosity of 575 pulsars.     

Optical variability of the radio source Z0524+03

The results of photometric observations of the optical component of the known variable radio source Z0524+03 are reported. The light variations amounted to 1.5 ^m during the period from January 21, 1998 to January 28, 2001 and occurred synchronously in the BVRI bands on time scales ranging from several years to 0.05 days. The spectral index of the object (S ～ ν ^α) varied from ?2.4 to ?1.3 from minimum to maximum light.Polarimetric observations made on January 22/23, 1999 showed that the linear polarization of the radiation of the object did not exceed 1% at the time of observation.Three local-standard candidates have been selected in the field of the object.     

Dwarf Galaxies in the M 81/82 Group. New Photometric Data

We present a list of 39 dwarf galaxies of the M 81/82 group. Three different methods are applied to determine their apparent integral magnitude: digital processing, equidensitometry, and calculation according to the formulae of FISHER and TULLY . The plates used were obtained with the Tautenburg Schmidt telescope. For a distance of the group of 3.5 Mpc the absolute magnitudes of the dwarf galaxies investigated are -15^m < M < -9^m.     

The Optical Microvariability and Spectral Changes of the BL Lacertae Object S5 0716+714

The BL Lac object S5 0716+714 was monitored in the optical band during October 2008, December 2008 and February 2009. We achieved a best temporal resolution of about 5 min in the BVRI bands. The source was active during the whole monitoring campaign. It showed microvariability in 13 days out of 14 days of observation. Four fast flares were observed with amplitudes ranging from 0.3–0.75 mag. The overall amplitude changes during the whole campaign are ΔB ~ 0. ^m 89, ΔV ~ 0. ^m 80, ΔR ~ 0. ^m 73, and ΔI ~ 0. ^m 51. On internight time scales, strong bluer-when-brighter chromatism was found while different spectral behaviours were found on intranight time scales.     

Estimating the Luminosity Function of M51-Type Galaxies

A new sample of M51-type galaxies consisting of 46 systems is used to estimate the B-band luminosity function. The luminosity function for the primary components of the systems can be described by a Schechter function with the parameters _* = (1.4±0.3)×10^-5 Mpc^-3, = -1.3^+0.4 _-0.3, and M _* = -20.3^+0.2 _-0.1. The values of the latter two parameters are comparable to those for isolated galactic pairs. The resulting estimate of the average density of M51-type galaxies is (4±3)% of the average density of isolated pairs for luminosities in the range -22^m.0<M<-16^m.0     

Three-dimensional model for generation of the mean solar magnetic field

A three-dimensional (non-axisymmetric) model for the solar mean magnetic field generation is studied. The sources of generation are the differential rotation and mean helicity in the convective shell. The system is described by two equations of the first order in time and the fourth order in space coordinates. The solution is sought for in the form of expansion over the spherical function Y_n^m. The modes of different m are separated. A finite-difference scheme similar to the Peaceman-Rachford scheme is constructed so to find coefficients of the expansion depending on the time and radial coordinates. It is shown that a mode with a smaller azimuthal number m is primarily excited. The axisymmetric mode m = o describes the 22 year solar cycle oscillations. The modes of m o have no such periodicity, the oscillate with a period of rotation of the low boundary of the solar convective shell, The solutions which are symmetric relative to the equator plane are excited more easily compared with the antisymmetrical ones. The results obtained are confronted to the observational picture of the non-axisymmetric large-scale solar magnetic fields.     

A high resolution study in time,position, intensity,and frequency of the radio event of January 14, 1971

A high resolution study in time, frequency, position, and intensity was made at 169 MHz and neighbouring frequencies of the solar radio event of 1971, January 14, 11^h 20^m–30^m UT. The event consisted of two closely resembling groups of type III bursts and type II like details.Before, during, and after the outburst a stationary type IV continuum was seen, with small amplitude pulsating structure. The size of the pulsating structure (which was located inside the continuum) was considerably smaller than the continuum size, and in agreement with an explanation by fluctuating magnetic inhomogeneities inside the continuum source.The continuum moved outward after each outburst at a high speed (2–4000 km s^–1). After the second event the continuum source returned inward slowly ( 450 km s^–1). The outward motion is discussed. It can be explained by a combination of the impact of a fast magnetohydrodynamic shock and the injection of highly energetic particles during the event, the required number being also necessary to account for the observed radio flux. The slow returning motion can be related to mhd restoring of the magnetic field configuration.     

Structure investigations of 3C 196 and 3C 280 in the decameter waveband

Observational results are presented concerning the structure of the quasar 3C 196 and the radio galaxy 3C 280 at 20 and 25 MHz, obtained by the scintillation method with the URAN-1 interferometer. Angular dimensions of the scintillating components and extended regions of the sources have been evaluated. In the case of the quasar 3C 196, the effective angular size of the scintillating component equals 2±1 _. 5 and that of the extended region 18×25.The contribution of the compact component into the total radiation flux is 0.46±0.20. Spectra of the structural formations in 3C 196 have been obtained in the range 20–5000 MHz.For the radio galaxy 3C 280 the effective angular size of the scintillating component equals 1 _. 5±1 _. 2. and that of the extended region exceeds 10 _. The contribution into the total flux due to the scintillating part is 0.35±0.20.The data obtained are analyzed together with the results measured at higher frequencies. It is pointed out that in a wide frequency range, the effect of wave scattering in the interstellar medium does not exceed measurement errors,hence bringing about no increase in the compact component sizes of the sources observed.     

Stability of motion in the Sitnikov 3-body problem

We study the stability of motion in the 3-body Sitnikov problem, with the two equal mass primaries (m ₁ = m ₂ = 0.5) rotating in the x, y plane and vary the mass of the third particle, 0 ≤ m ₃ < 10⁻³, placed initially on the z-axis. We begin by finding for the restricted problem (with m ₃ = 0) an apparently infinite sequence of stability intervals on the z-axis, whose width grows and tends to a fixed non-zero value, as we move away from z = 0. We then estimate the extent of “islands” of bounded motion in x, y, z space about these intervals and show that it also increases as |z| grows. Turning to the so-called extended Sitnikov problem, where the third particle moves only along the z-axis, we find that, as m ₃ increases, the domain of allowed motion grows significantly and chaotic regions in phase space appear through a series of saddle-node bifurcations. Finally, we concentrate on the general 3-body problem and demonstrate that, for very small masses, m ₃ ≈ 10⁻⁶, the “islands” of bounded motion about the z-axis stability intervals are larger than the ones for m ₃ = 0. Furthermore, as m ₃ increases, it is the regions of bounded motion closest to z = 0 that disappear first, while the ones further away “disperse” at larger m ₃ values, thus providing further evidence of an increasing stability of the motion away from the plane of the two primaries, as observed in the m ₃ = 0 case.     

The radio luminosity function and the luminosity diameter function of extragalactic radio sources

On the basis of a radio index-surface brightness diagram recently published, the luminosity function and the luminosity diameter function are obtained. The uncertainties due to the incompleteness of the sample are of the same order as the statistical uncertainties. The luminosity function differs considerably from a simple power law and supports the distinction of two populations. The density of the weak population (P<10³⁵ W Hz⁻¹ ster⁻¹ at 1400 MHz) follows nearly a power law in P and increases towards small diameters at least down to I kpc. The density of the strong population (the high luminosity and small diameter part of which is occupied by the quasars) has a maximum between 10²⁵ and 10²⁸ W Hz⁻¹ ster⁻¹ and around 100 kpc. A strong evolution effect is clearly present and is in a good agreement with the models obtained from the log N-log S counts.