Dense gas in the dust lane of Centaurus A

The interstellar medium of Centaurus A (NGC 5128) has been studied extensively in recent years, using mostly molecular lines tracing low to medium density gas (500 to several $10^3$ cm$^{-3}$). The amount and distribution of the dense molecular gas was largely unknown. Here we present new millimeter data of the HCN(1-0), CS(2-1), and CS(3-2) rotational transitions towards the nearby radio galaxy Centaurus A observed with the SEST on La Silla, Chile. We obtained spectra of the HCN(1-0) emission which traces dense 10$^4$ cm$^{-3}$ molecular gas at the center and along the prominent dust lane at offset positions $\pm60^{\prime \prime}$ and $\pm100^{\prime \prime}$. We also obtained a few spectra of CS(2-1) and (3-2) tracing densities of $\sim10^5$ cm$^{-3}$. The emission in these lines is weak and reaches a few mK at the available angular resolutions of 54$^{\prime \prime}$ - 36$^{\prime \prime}$. At the central position, the integrated intensity ratio I(HCN)/I(CO) peaks at 0.064, and decreases to $\sim$0.02 to 0.04 in the dust lane.Comment: 7 pages, 5 figures, accepted by A.&A. 04. May 200

Research on Computational and Display Requirements for Human Control of Space Vehicle Boosters, Phase III. Part II - Computer Programs and Data Package Final Report, 1 Mar. - 31 Aug. 1967

Hybrid computer program for real time trajectory determination of human controlled space vehicle booste

Keldysh-Rutherford model for attoclock

We demonstrate a clear similarity between attoclock offset angles and Rutherford scattering angles taking the Keldysh tunnelling width as the impact parameter and the vector potential of the driving pulse as the asymptotic velocity. This simple model is tested against the solution of the time-dependent Schr\"odinger equation using hydrogenic and screened (Yukawa) potentials of equal binding energy. We observe a smooth transition from a hydrogenic to 'hard-zero' intensity dependence of the offset angle with variation of the Yukawa screening parameter. Additionally we make comparison with the attoclock offset angles for various noble gases obtained with the classical-trajectory Monte Carlo method. In all cases we find a close correspondence between the model predictions and numerical calculations. This suggests a largely Coulombic origin of the attoclock offset angle and casts further doubt on its interpretation in terms of a finite tunnelling time

The Position of Sgr A∗^* at the Galactic Center

The absolute position of the compact radio source at the dynamical center of the Galaxy, Sgr A$^*$, was known only to an accuracy of $0.2''$ in spite of its accurate location with respect to near-IR stellar sources to within 30 milliarcsecond (mas). To remedy this poor positional accuracy, we have selected 15 high-resolution, high-frequency VLA observations of Sgr A$^*$ carried out in the last 13 years and determined the weighted average position with the average epoch 1992.4 to be at $\alpha$, $\delta$[1950] = $17^{\rm h} 42^{\rm m}$ 29\dsec3076$\pm0.0007$, $-28^\circ 59^\prime 18.484\pm0.014^{\prime\prime}$, or $\alpha$, $\delta$[2000] = $17^{\rm h} 45^{\rm m}$ 40\dsec0383$\pm0.0007$, $-29^\circ 00^\prime 28.069\pm0.014^{\prime\prime}$ which agrees with earlier published values to within the $0.2''$ error bars of the earlier measurements. An accurate absolute position of Sgr A$^*$ can be useful for its identification with sources at other wavelengths, particularly, in soft and hard X-rays with implications for the models of a massive black hole at the Galactic center.Comment: 11 pages, one figure and one table. ApJL (in press

Inservice Training and Accessing Knowledge: The Perceived Needs of Parents and Educators of Children with Special Needs in North Dakota

Purpose and procedure. The purpose of this study was to provide a detailed analysis of needs assessment data regarding inservice training and accessing knowledge as perceived by parents, special education teachers, general education teachers, related services providers, and administrators in the state of North Dakota. These five groups were surveyed by the Bureau of Educational Services and Applied Research at the University of North Dakota. Resulting data were statistically analyzed utilizing frequency distributions and percentages to identify perceived needs for accessing knowledge or skills in special education and inservice training. Conclusions and recommendations. Educators prioritized concerns over programming and instruction as the areas of highest need for knowledge and skills. Parents, on the other hand, perceived the areas of greatest need for knowledge and skills to be in accessing information from federal, state, and local education agencies on transition and learning how to help their child become more self-confident. With regard to format for inservice training, educators preferred conference/workshop courses, while parents preferred workshops led by other parents or professionals in small group settings. Educators chose graduate level courses or university level programs as the most effective resources for providing training or information. Salary step credit or continuing education units were selected by educators as incentives for participation in inservice training, and one to three hours per month was the length of time they preferred to devote to inservice training outside of the regular work schedule. Those planning statewide inservice training in the state of North Dakota should base their decisions regarding topics, format, resources, incentives, and timing upon the preferences indicated by the constituent groups in this study. In this process educators must collaborate with one another, share their expertise with parents, and empower parents to help their own children. It is recommended that a qualitative follow-up study of parents of children with special needs in the state of North Dakota be conducted. The survey return rate for this constituent group was low; therefore, a qualitative study may well identify their perceived needs more effectively than was accomplished by this study

Radio Variability of Sagittarius A* - A 106 Day Cycle

We report the presence of a 106-day cycle in the radio variability of Sgr A* based on an analysis of data observed with the Very Large Array (VLA) over the past 20 years. The pulsed signal is most clearly seen at 1.3 cm with a ratio of cycle frequency to frequency width f/Delta_f= 2.2+/-0.3. The periodic signal is also clearly observed at 2 cm. At 3.6 cm the detection of a periodic signal is marginal. No significant periodicity is detected at both 6 and 20 cm. Since the sampling function is irregular we performed a number of tests to insure that the observed periodicity is not the result of noise. Similar results were found for a maximum entropy method and periodogram with CLEAN method. The probability of false detection for several different noise distributions is less than 5% based on Monte Carlo tests. The radio properties of the pulsed component at 1.3 cm are spectral index alpha ~ 1.0+/- 0.1 (for S nu^alpha), amplitude Delta S=0.42 +/- 0.04 Jy and characteristic time scale Delta t_FWHM ~ 25 +/- 5 days. The lack of VLBI detection of a secondary component suggests that the variability occurs within Sgr A* on a scale of ~5 AU, suggesting an instability of the accretion disk.Comment: 14 Pages, 3 figures. ApJ Lett 2000 accepte

Libration driven multipolar instabilities

We consider rotating flows in non-axisymmetric enclosures that are driven by libration, i.e. by a small periodic modulation of the rotation rate. Thanks to its simplicity, this model is relevant to various contexts, from industrial containers (with small oscillations of the rotation rate) to fluid layers of terrestial planets (with length-of-day variations). Assuming a multipolar $n$-fold boundary deformation, we first obtain the two-dimensional basic flow. We then perform a short-wavelength local stability analysis of the basic flow, showing that an instability may occur in three dimensions. We christen it the Libration Driven Multipolar Instability (LDMI). The growth rates of the LDMI are computed by a Floquet analysis in a systematic way, and compared to analytical expressions obtained by perturbation methods. We then focus on the simplest geometry allowing the LDMI, a librating deformed cylinder. To take into account viscous and confinement effects, we perform a global stability analysis, which shows that the LDMI results from a parametric resonance of inertial modes. Performing numerical simulations of this librating cylinder, we confirm that the basic flow is indeed established and report the first numerical evidence of the LDMI. Numerical results, in excellent agreement with the stability results, are used to explore the non-linear regime of the instability (amplitude and viscous dissipation of the driven flow). We finally provide an example of LDMI in a deformed spherical container to show that the instability mechanism is generic. Our results show that the previously studied libration driven elliptical instability simply corresponds to the particular case $n=2$ of a wider class of instabilities. Summarizing, this work shows that any oscillating non-axisymmetric container in rotation may excite intermittent, space-filling LDMI flows, and this instability should thus be easy to observe experimentally