Average Scale Length Research Articles

The age–metallicity structure of the Milky Way disc using APOGEE

The measurement of the structure of stellar populations in the Milky Way disk places fundamental constraints on models of galaxy formation and evolution. Previously, the disk's structure has been studied in terms of populations defined geometrically and/or chemically, but a decomposition based on stellar ages provides a more direct connection to the history of the disk, and stronger constraint on theory. Here, we use positions, abundances and ages for 31,244 red giant branch stars from the SDSS-APOGEE survey, spanning $3 < R_{\mathrm{gc}} < 15$ kpc, to dissect the disk into mono-age and mono-[Fe/H] populations at low and high [$\alpha$/Fe]. For each population, with $\Delta \mathrm{age} < 2$ Gyr and $\Delta \mathrm{[Fe/H]} < 0.1$ dex, we measure the structure and surface-mass density contribution. We find that low [$\alpha$/Fe] mono-age populations are fit well by a broken exponential, which increases to a peak radius and decreases thereafter. We show that this profile becomes broader with age, interpreted here as a new signal of disk heating and radial migration. High [$\alpha$/Fe] populations are well fit as single exponentials within the radial range considered, with an average scale length of $1.9\pm 0.1$ kpc. We find that the relative contribution of high to low [$\alpha$/Fe] populations at $R_0$ is $f_\Sigma = 18\% \pm 5\%$; high [$\alpha$/Fe] contributes most of the mass at old ages, and low [$\alpha$/Fe] at young ages. The low and high [$\alpha$/Fe] populations overlap in age at intermediate [Fe/H], although both contribute mass at $R_{0}$ across the full range of [Fe/H]. The mass weighted scale height $h_Z$ distribution is a smoothly declining exponential function. High [$\alpha$/Fe] populations are thicker than low [$\alpha$/Fe], and the average $h_Z$ increases steadily with age, between 200 and 600 pc.

Szekeres models: a covariant approach

We exploit the 1 + 1 + 2 formalism to covariantly describe the inhomogeneous and anisotropic Szekeres models. It is shown that an average scale length can be defined covariantly which satisfies a 2d equation of motion driven from the effective gravitational mass (EGM) contained in the dust cloud. The contributions to the EGM are encoded to the energy density of the dust fluid and the free gravitational field Eab. We show that the quasi-symmetric property of the Szekeres models is justified through the existence of 3 independent intrinsic Killing vector fields (IKVFs). In addition the notions of the apparent and absolute apparent horizons are briefly discussed and we give an alternative gauge-invariant form to define them in terms of the kinematical variables of the spacelike congruences. We argue that the proposed program can be used in order to express Sachs’ optical equations in a covariant form and analyze the confrontation of a spatially inhomogeneous irrotational overdense fluid model with the observational data.

Deep multiband surface photometry on a sample of 24 blue compact galaxies

We present deep surface photometry of a volume--limited sample of 21 UM emission line galaxies in broadband optical UBVRI and near infra-red (NIR) HKs filters. The sample comprises 19 blue compact galaxies (BCGs) and two spirals. For some targets the exposure times are the deepest to date. For the BCG UM462 we observe a previously undetected second disk component beyond a surface brightness level of mu_B=26 mag arcsec^{-2}. This is a true low surface brightness component with central surface brightness mu_0=24.1 mag arcsec^{-2} and scale length h_r=1.5 kpc. All BCGs are dwarfs, with M_B>=-18, and very compact, with an average scale length of h_r~1 kpc. We separate the burst and host populations for each galaxy and compare them to stellar evolutionary models with and without nebular emission contribution. We also measure the A_{180} asymmetry in all filters and detect a shift from optical to NIR in the average asymmetry of the sample. This shift seems to be correlated with the morphological class of the BCGs. Using the color-asymmetry relation, we identify five BCGs in the sample as mergers, which is confirmed by their morphological class. Though clearly separated from normal galaxies in the concentration-asymmetry parameter space, we find that it is not possible to distinguish luminous starbursting BCGs from the merely star forming low luminosity BCGs.

A UNIVERSAL NEUTRAL GAS PROFILE FOR NEARBY DISK GALAXIES

Based on sensitive CO measurements from HERACLES and HI data from THINGS, we show that the azimuthally averaged radial distribution of the neutral gas surface density (Sigma_HI + Sigma_H2) in 33 nearby spiral galaxies exhibits a well-constrained universal exponential distribution beyond 0.2*r25 (inside of which the scatter is large) with less than a factor of two scatter out to two optical radii r25. Scaling the radius to r25 and the total gas surface density to the surface density at the transition radius, i.e., where Sigma_HI and Sigma_H2 are equal, as well as removing galaxies that are interacting with their environment, yields a tightly constrained exponential fit with average scale length 0.61+-0.06 r25. In this case, the scatter reduces to less than 40% across the optical disks (and remains below a factor of two at larger radii). We show that the tight exponential distribution of neutral gas implies that the total neutral gas mass of nearby disk galaxies depends primarily on the size of the stellar disk (influenced to some degree by the great variability of Sigma_H2 inside 0.2*r25). The derived prescription predicts the total gas mass in our sub-sample of 17 non-interacting disk galaxies to within a factor of two. Given the short timescale over which star formation depletes the H2 content of these galaxies and the large range of r25 in our sample, there appears to be some mechanism leading to these largely self-similar radial gas distributions in nearby disk galaxies.

The stellar content of low redshift BL Lacertae host galaxies from multicolour imaging

We present B-band imaging of 18 low redshift (z<0.3) BL Lac objects for which their host galaxies were previously resolved in the R-band and the near-infrared H-band. For a subset of the objects, also U- and V-band imaging is presented. These data are used to investigate the blue-red-near-infrared colours and the colour gradients of the host galaxies of BL Lacs in comparison with other elliptical galaxies with and without nuclear activity. In all cases galaxies are well represented by an elliptical model, with average absolute magnitude M_B=-21.6+-0.7 and average scale length R_e=7.6+-3.2 kpc. The best-fit B-band Kormendy relation is in reasonable agreement with that obtained for normal ellipticals and radio galaxies. This structural and dynamical similarity indicates that all massive elliptical galaxies can experience nuclear activity without significant perturbation of their global structure. The distributions of the integrated blue/near-infrared colour (with average B-H=3.5+-0.5) and colour gradient (with average Delta(B-R)/Delta(log r)=-0.14+-0.75) of the BL Lac hosts are much wider than those for normal ellipticals, and most BL Lac objects have bluer hosts and/or steeper colour gradients than those in normal ellipticals. The blue colours are likely caused by a young stellar population component, and indicates a link between star formation caused by an interaction/merging event and the onset of the nuclear activity. This result is corroborated by stellar population modelling, indicating a presence of young/intermediate age populations in the majority of the sample, in agreement with low redshift quasar hosts. The lack of strong signs of interaction may require a significant time delay between the event with associated star formation episodes and the start of the nuclear activity.

The optical-near-infrared colour of the host galaxies of BL Lacertae objects

We present H-band imaging of 23 low redshift (z < 0.3) BL Lac objects that were previously investigated by us in the R-band. For all the observed objects, the host galaxy is well represented by an elliptical model, with average scale length R(e) = 7.2 +- 3.6 kpc and average absolute magnitude M(H) = -25.9 +- 0.6. BL Lac hosts are therefore luminous elliptical galaxies indistinguishable from those of low redshift radio galaxies and inactive ellipticals. The best-fit H-band Kormendy relation of mu(e) = 3.7 log r(e) (kpc) + 14.8 mag arcsec^-2 agrees with that obtained for normal ellipticals and radio galaxies. This similarity indicates that all massive elliptical galaxies can experience nuclear activity without significant perturbation of their global structure. The new observations are combined with literature data of 18 objects, and this extended sample is used to investigate the optical-NIR colour and colour gradient properties of the host galaxies of BL Lacs and to perform a direct comparison with other elliptical galaxies with and without nuclear activity. The optical/near-infrared colour (R-H = 2.2 +- 0.4) and colour gradient (Delta(R-H)/Delta(log r) = -0.38 +- 0.60) distributions of the BL Lac hosts are much wider than those for normal ellipticals with old stellar populations, and many BL Lacs have bluer hosts and/or steeper colour gradients than those in normal ellipticals. The blue colours are most likely caused by a young stellar population, and indicates a link between star formation caused by an interaction/merging event and the onset of the nuclear activity. However, the lack of obvious signs of interaction may require a significant time delay between the event with associated SF episodes and the onset of nuclear activity.

O/1D/ and H2O/+/ in comet Bennett 1970. II

The spatial distribution of O(1D) in comet Bennett on April 18 implies the existence of an average scale length of about 10,000 km for the source of one or several parents, and an average scale length also of about 10,000 km for their destruction. The spatial distribution of H2O(+) has also been studied sunward and tailward for the same comet and the same date. Two spectra taken 20 minutes apart show recognizable wave patterns moving tailward with a velocity of 17 km/sec. The interaction of the H2O(+) ions with the solar wind gives clues to the onset of the plasma tail. A characteristic time of 800 sec seems to be associated with the instabilities seen at the onset of the tail.

Periodic fluctuations in the geomagnetic field during magnetic storms

Abstract Some of the characteristics of the periodic fluctuations occurring in the horizontal intensity of the Earth's magnetic field during magnetic storms are investigated, using the five minutes values of H at Huancayo, Trivandrum, Alibag, Honolulu and San Juan during the storm of 8 July 1958. The study has been extended to sixteen sudden commencement and twenty gradual commencement storms at Huancayo during 1958 using 5-min values of H at Huancayo. Adopting the method of auto-correlation analysis, we have studied the period of oscillations of the significant fluctuations, and find that most commonly the period is about 40 min. The oscillations occur generally during the initial and main phases of the storm. The fluctuations are in phase at the two equatorial stations of Huancayo and Trivandrum or Huancayo and Alibag. They are therefore simultaneous at stations round the Earth close to the geomagnetic equator. At Honolulu or San Juan, the fluctuations are irregular and are poorly correlated with those at the equatorial stations. The situation at a high latitude station such as Sitka has not been studied. On the assumption that the periodic fluctuations are due to large scale inhomogeneities in the solar plasma impinging on the magnetosphere, we have calculated the average scale length of the inhomogeneities in the plasma to be 0.02 a.u. This scale length is comparable to the scale length of inhomogeneities derived by McCracken (1) from solar flare cosmic ray events and the scale length indicated in the experimental results by Bryant et al (2) relating to energetic particles measured by Explorer XII.