Visibility of the photospheric granulation in Fei λ 6569.2

High-quality photographs of the granulation obtained at seven wavelengths in the Fe i line λ 6569.2 are presented. The granule contrast attains a maximum considerably exceeding the continuum value around Fe+0.05 to Fe+0.10 Å; individual granules remain easily visible to within 5″ of the limb. At line centre only remnants of the granulation pattern are discernible.     

Orbit and physical characteristics of the components of the massive Algol V622 Per,a member of the open star cluster χ Per

Analysis of the radial velocities based on spectra of high (near the H _α line) and moderate (4420–4960 Å) resolutions supplemented by the published radial velocities has revealed the binarity of a bright member of the young open star cluster χ Per, the star V622 Per. The derived orbital elements of the binary show that the lines of both components are seen in its spectrum, the orbital period is 5.2 days, and the binary is in the phase of active mass exchange. The photometric variability of the star is caused by the ellipsoidal shape of its components. Analysis of the spectroscopic and photometric variabilities has allowed the absolute parameters of the binary’s orbit and its components to be found. V622 Per is shown to be a classical Algol with moderate mass exchange in the binary. Mass transfer occurs from the less massive (\({M_1} = 9.1 \pm 2.7{M_ \odot }\)) but brighter (\(\log {L_1} = 4.52 \pm 0.10{L_ \odot }\)) component onto the more massive (\({M_2} = 13.0 \pm 3.5{M_ \odot }\)) and less bright (\(\log {L_2} = 3.96 \pm 0.10{L_ \odot }\)) component. Analysis of the spectra has confirmed an appreciable overabundance of CNO-cycle products in the atmosphere of the primary component. Comparison of the positions of the binary’s components on the T _eff–log g diagram with the age of the cluster χ Per points to a possible delay in the evolution of the primary component due to mass loss by no more than 1–2Myr.     

NLTE formation of the resonance Ba II line λ 455.4 nm in the solar atmosphere

We consider the NLTE formation of the resonance Ba II line λ 455.4 nm in the solar spectrum for three one-dimensional and one three-dimensional hydrodynamic models of the quiet solar atmosphere. The sensitivity of the line to atomic parameters, microturbulent and macroturbulent velocities, as well as to oscillator strength and barium abundance uncertainties was examined. The wings of the barium line are shown to be most sensitive to the van der Waals broadening constant. Another important parameter is the barium abundance. Our NLTE estimate of the solar barium abundance (A _Ba = 2.16) derived with allowance made for the nonuniform solar atmosphere structure is in good agreement with earlier results. The influence of granular convective motions on the line profile shape was studied, and the profiles formed in granules and in intergranular lanes are shown to be asymmetric and differently shaped. We demonstrate that the theoretical profiles match well the observed ones when the NLTE effects and the granular structure are taken into account.     

Dynamics of the Jupiter Trojans with Saturn’s perturbation in the present configuration of the two planets

The dynamics of the two Jupiter triangular libration points perturbed by Saturn is studied in this paper. Unlike some previous works that studied the same problem via the pure numerical approach, this study is done in a semianalytic way. Using a literal solution, we are able to explain the asymmetry of two orbits around the two libration points with symmetric initial conditions. The literal solution consists of many frequencies. The amplitudes of each frequency are the same for both libration points, but the initial phase angles are different. This difference causes a temporary spatial asymmetry in the motions around the two points, but this asymmetry gradually disappears when the time goes to infinity. The results show that the two Jupiter triangular libration points should have symmetric spatial stable regions in the present status of Jupiter and Saturn. As a test of the literal solution, we study the resonances that have been extensively studied in Robutel and Gabern (Mon Not R Astron Soc 372:1463–1482, 2006). The resonance structures predicted by our analytic theory agree well with those found in Robutel and Gabern (Mon Not R Astron Soc 372:1463–1482, 2006) via a numerical approach. Two kinds of chaotic orbits are discussed. They have different behaviors in the frequency map. The first kind of chaotic orbits (inner chaotic orbits) is of small to moderate amplitudes, while the second kind of chaotic orbits (outer chaotic orbits) is of relatively larger amplitudes. Using analytical theory, we qualitatively explain the transition process from the inner chaotic orbits to the outer chaotic orbits with increasing amplitudes. A critical value of the diffusion rate is given to separate them in the frequency map. In a forthcoming paper, we will study the same problem but keep the planets in migration. The time asymmetry, which is unimportant in this paper, may cause an observable difference in the two Jupiter Trojan groups during a very fast planet migration process.     

Is the Suess cycle present in historical naked-eye observations of sunspots?

Sunspot numbers are available for the past four centuries. However, solar activity indices with a longer time span are required by geophysicists and solar physicists. The yearly naked-eye sunspot number in the past is reconstructed using observations recorded in historical documents. Some studies from different solar proxies (including radiocarbon and aurora records) show the presence of the so-called Suess cycle (around 200 years) in solar variability. In this work, a modified Lomb–Scargle periodogram analysis is used to investigate the Suess cycle in naked-eye observations of sunspots during 200 BC–1918 AD. The most relevant characteristic of the periodogram is a cycle with a frequency very close to the Suess cycle, though this cycle is not significant statistically.     

Analysis of the light curves of V78 in ω Centauri in the frequency domain by automatized fourier techniques

The aim of the present paper has been to analyse the light changes of the close eclipsing system V78 in Centauri in the frequency domain. In two of his recent papers, Kopal (1977b, c) has developed new methods for the analysis of light curves using Hankel transforms of zero order. He succeeded in expressing the momentsA _2m of light curves in a closed form. The expansions, in terms of which the momentsA _2m can be expressed, converge in all circumstances. Their analytical structure presents no difficulty for automatic computation. The light variations of the eclipsing system V78 in Centauri have been studied by use of the above method. New geometrical elements are also given.     

Numerical simulations of the K-corona and of the λ 5303 emission line corona

More and more observations tend to prove that the lower corona is very heterogeneous and that the active regions are quite exclusively arch-structured. So, we have attempted to see what would be the result of simulations of a corona structured only with arches. In a previous work we had made the computations for both the K-corona and the 5303 emission line corona, for which we have much observational data. The complexity of computations has led us to make the comparisons with observations for the vertical intensity gradients only. A priori, it seemed impossible to obtain a simulation close to reality with a corona structured only with arches, at least as we have defined them in this paper, the important fact being a conspicuous lack of matter beyond a certain height. We have made new simulations with a different electron density distribution and for a different region. These latter calculations show us that the material can be confined in the feet of very high arches or in open structures as has already been suggested.     

Coronal hole boundary brightness in λ 284 of Fe XV

An attempt is made to specify coronal hole boundaries in the brightness of 284 of Fe xv. This is done by evaluating brightnesses of 284 at boundaries selected by various groups. These results are in quite good agreement and suggest a brightness value of (0.8±0.4)×10¹² photons cm^–2 s^–1 sr^–1 for coronal hole boundaries in 284. The examination of a number of isophote maps near this boundary brightness shows no consistent brightness gradient.     

Effect of the Earth’s compression on the physical libration of the Moon

The effect of the Earth??s compression on the physical libration of the Moon is studied using a new vector method. The moment of gravitational forces exerted on the Moon by the oblate Earth is derived considering second order harmonics. The terms in the expression for this moment are arranged according to their order of magnitude. The contribution due to a spherically symmetric Earth proves to be greater by a factor of 1.34 × 10⁶ than a typical term allowing for the oblateness. A linearized Euler system of equations to describe the Moon??s rotation with allowance for external gravitational forces is given. A full solution of the differential equation describing the Moon??s libration in longitude is derived. This solution includes both arbitrary and forced oscillation harmonics that we studied earlier (perturbations due to a spherically symmetric Earth and the Sun) and new harmonics due to the Earth??s compression. We posed and solved the problem of spinorbital motion considering the orientation of the Earth??s rotation axis with regard to the axes of inertia of the Moon when it is at a random point in its orbit. The rotation axes of the Earth and the Moon are shown to become coplanar with each other when the orbiting Moon has an ecliptic longitude of L _? = 90° or L _? = 270°. The famous Cassini??s laws describing the motion of the Moon are supplemented by the rule for coplanarity when proper rotations in the Earth-Moon system are taken into account. When we consider the effect of the Earth??s compression on the Moon??s libration in longitude, a harmonic with an amplitude of 0.03?? and period of T ₈ = 9.300 Julian years appears. This amplitude exceeds the most noticeable harmonic due to the Sun by a factor of nearly 2.7. The effect of the Earth??s compression on the variation in spin angular velocity of the Moon proves to be negligible.     

Effect of small-scale magnetic fields on magnetically sensitive Fe I λ 525.02 and λ 1564.85 nm line profiles in the quiet solar photosphere

An integrated effect of small-scale magnetic fields on online absorption coefficient is analytically estimated. The formation of magnetically sensitive Fe I lines under the conditions of undisturbed solar photosphere in the presence of small-scale magnetic fields is studied. It is shown that these fields can broaden the wings of magnetically sensitive lines.     

Diagnostics of horizontal velocity field in the solar atmosphere: Line Ba II λ 455.403 nm

We proposed a method for diagnostics of the horizontal velocity field based on 2D observations at the center of the solar disk with high spatial and temporal resolution. The method consists in semiempirical modeling of the solar atmosphere by solving the inverse radiative transfer problem and subsequent obtaining horizontal velocities by solution of the corresponding hydrodynamic equations. We investigated the diagnostic capabilities of the line Ba II λ 455.403 nm (considering hyperfine structure and isotope splitting) for studying the horizontal velocity field of the nonhomogeneous solar atmosphere.     

Is the β Pictoris member GJ 3039AB a physical binary? What the rotation periods tell us?

We have carried out a multi-band photometric monitoring of the close visual binary GJ 3039, consisting of a M4 primary and a fainter secondary component, and likely member of the young stellar association β Pictoris (24-Myr old). From our analysis we found that both components are photometric variables and, for the first time, we detected two micro-flare events. We measured from periodogram analysis of the photometric time series two rotation periods P = 3.355 d and P = 0.925 d, that we could attribute to the brighter GJ 3039A and the fainter GJ 3039B components, respectively. A comparison of these rotation periods with the period distribution of other β Pictoris members further supports that GJ 3039A is a member of this association. We find that also GJ 3039B could be a member, but the infrared magnitude differences between the two components taken from the literature and the photometric variability, which is found to be comparable in both stars, suggest that GJ 3039B could be a foreground star physically unbound to the primary A component.     

Does the speed of light decrease with time?

Rust (1974) stated that the classical (e.g., Doppler) explanations of the cosmological red shift contradict the results of astronomical observations of the period of changes in the brightness of supernovae. This paper is an attempt at explaining this discrepancy between observations and the theoretical predictions on the grounds of a hypothesis published by the author (Bellert, 1969). That hypothesis explains the cosmological red shift by the geometry of the space of events, which is a static space.We regret to report that, soon after the submission of this paper, Professor Bellert passed away on 27 March, 1976 in Warsaw.     

The effect of the Earth’s oblateness on the Moon’s physical libration in latitude

The Moon’s physical libration in latitude generated by gravitational forces caused by the Earth’s oblateness has been examined by a vector analytical method. Libration oscillations are described by a close set of five linear inhomogeneous differential equations, the dispersion equation has five roots, one of which is zero. A complete solution is obtained. It is revealed that the Earth’s oblateness: a) has little effect on the instantaneous axis of Moon’s rotation, but causes an oscillatory rotation of the body of the Moon with an amplitude of 0.072″ and pulsation period of 16.88 Julian years; b) causes small nutations of poles of the orbit and of the ecliptic along tight spirals, which occupy a disk with a cut in a center and with radius of 0.072″. Perturbations caused by the spherical Earth generate: a) physical librations in latitude with an amplitude of 34.275″; b) nutational motion for centers of small spiral nutations of orbit (ecliptic) pole over ellipses with semi-major axes of 113.850″ (85.158″) and the first pole rotates round the second one along a circle with radius of 28.691″; c) nutation of the Moon’s celestial pole over an ellipse with a semi-major axis of 45.04″ and with an axes ratio of about 0.004 with a period of T = 27.212 days. The principal ellipse’s axis is directed tangentially with respect to the precession circumference, along which the celestial pole moves nonuniformly nearly in one dimension. In contrast to the accepted concept, the latitude does not change while the Moon’s poles of rotation move. The dynamical reason for the inclination of the Moon’s mean equator with respect to the ecliptic is oblateness of the body of the Moon.     

On the centre-to-limb variation and latitude dependence of the asymmetry and wavelength shift of the solar line λ 5576

Low noise photoelectric measurements of the line profile of the g = 0 Fe line gl 5576.097 combined with determinations of the wavelength shift of its centre calibrated by use of an I ₂ absorption tube are reported. Measurements taken at various limb distances (1.0 cos 0.2) and along 4 different diameters of the Sun are used to investigate the behaviour of the line asymmetry (C-shape) and wavelength shift of the line centre as functions of cos and of latitude and to search for possible pole-equator differences.An accuracy of approx. 0.8 mÅ r.m.s. is achieved for the determination of the centre of the solar line relative to the iodine lines and of 0.3 mÅ to 1 mÅ r.m.s. for the relative variations of the C-shape. The analysis shows a significant difference between the limb-effect curves along polar and equatorial diameters for cos 0.4 and changes of the C-shape for 0.9 cos 0.6 with a rather strong indication of a latitude dependence of the C-shape. This latitude dependence may account for the so-called ears observed by Howard et al. (1980) who used the well-known Doppler compensator method which integrates the line asymmetry from the line wings to the core.Mitteilungen aus dem Kiepenheuer-Institut Nr. 207.     

Structure and physical conditions in the Hα loops of an M7.7 solar flare

The M7.7 solar flare on July 19, 2012, is the most dramatic example of a “Masuda” flare with a well-defined second X-ray above-the-loop-top source. The behavior of the system of loops accompanying this flare has been studied comprehensively by Liu et al. based on Reuven Ramaty High Energy Solar Spectroscopic Imager (RHESSI) and Solar Dynamics Observatory/Atmospheric Imaging Assembly (SDO/AIA) data. We have performed spectroscopic and filter observations of the Hα loops in this flare with the Large Solar Vacuum Telescope. The basic physical parameters in the loops of this peculiar flare generally coincide with the known data in Hα loops. However, the electron density, 10¹¹ cm_?3, and the integrated disk-center continuum intensity, 12%, are quite high, given that the observations were obtained almost 3 h after the flare onset.We have estimated the ascending velocity of the loop arcade (~3.5 km s^?1) and the height difference between the Hα and 94 Å loops (~2 × 10⁴ km).     

A study of the He λ 10830 line emission from quiescent prominences

Observations of the He 10830 line emission in a number of quiescent prominences are presented. The line shapes are analyzed to obtain values for the Doppler widths and optical thicknesses, leading to a determination of the 2³ P – 2³ S excitation temperature of 4020 K. The results are compared with those of previous observational and theoretical research.     

Diagnostics of the solar atmosphere by the Non-LTE inversion method: Line of Ba II λ 455.403 nm

The inverse problem of nonequilibrium radiative transfer in the Ba II λ 455.403 nm line is solved taking into account the hyperfine structure and isotopic splitting. Diagnostic capabilities of this line for the study of the solar atmosphere are investigated based on the three-dimensional hydrodynamic model. It is shown that the use of inversion methods for the analysis of the observed Ba II λ 455.403 nm line makes it possible to reproduce physical conditions in the layers of the photosphere and the lower chromosphere (0 < h < 600 km) with a correlation coefficient of 0.9.     

Observations of 2001 superoutburst of WZ Sagittae: comparison of the morphology of the UBVRI light curves

We present the analysis of the morphology of the light curves of WZ Sge based on simultaneous multicolour highspeed photometry durings the superoutburst in 2001. Observations started around the middle of the main superoutburst and continued for several nights in each of the subsequent phases of its evolution. For the first time for WZ Sge in a superoutburst a significant difference between the morphology of the U and BVRI light curves was detected. This is interpreted as a consequence of a substantial distinction of the structure and radiation between the inner and outer parts of the accretion disc. Using the space observatory WSO-UV for UV monitoring of the WZ Sge-stars throughout the entire superoutburst cycle one would have an opportunity to explore innermost regions of the accretion discs in these systems, which is important for understanding the physics of accretion processes and the nature of their activity.