By using the tools of sections (20) and (21), the mathematics of approximate solutions developed in (M-5), and assuming all orbits are circles, it is a relatively straightforward job to calculate the distance to the Lagrangian L1 point (or to L2). ... Let the gravitational constant be denoted by G , the mass of the Sun by M , that of Earth by m , the Earth's distance from the Sun by r and its velocity in its orbit by v . ... GMm / r 2 = mv 2 / r . and multiplying both sides by r / m . ...

... HIPASS results . ... Of the BGC galaxies, 138 have redshifts for the first time. ... We really need ALFA to address that faint end. ... This estimate accounts for the smaller beam size, the number of pixels, and the available solid angle. ... HIPASS (with an integration time of 250 sec per pixel) was complete only for M * galaxies at cz ALFA (with the same intergration time) would be complete to 15,000 km/s . ... The integration time would be only 1 sec per beam for a total time of about 2.6 hours. ...

... They were determined as a result of orbit improving on the base of all kinds of optical observations available in the catalog of observations of the Minor Planet Center on March 16, 2014 (radar observations have not been used at this stage). ... As the MPC orbits do not all were improved simultaneously with EMP orbits, only 383866 sets of elements were used for data comparison (for selected sets of elements process of improvement had started with the use of the same observations). ...

... Tonight's Sky . ... The Magazine . ... Observing . ... Gravitational wave search provides insights into galaxy evolution and mergers . ... The double star 54 Leonis, spiral galaxy NGC 3198, and emission nebula NGC 3199 . ... Astronomy for Kids . ... Imaging Basics . ... The right number of images . ... Get instant access to subscriber content on Astronomy.com! ... Receive news, sky-event information, observing tips, and more from Astronomy's weekly email newsletter. ... Astronomy Magazine . ...

Detecting Long Period Planets with WASP 1 University of Warwick, Gibbet Hill Road, Coventry, CV4 7AL To estimate the number of transiting planets in this period range, planetary occurrence rates from Kepler (Fressin et al, 2013) for varying spectral type & planet type were used. ... Two `stare' fields are currently available from 2011 (330,000 stars) producing a detection rate of 3.0±2.4 planets (Fig 4). ... Since 2011, WASP-N cameras have observed in `Stare' mode, with cadence of ~1-2min. ...

... We demonstrate through numerical simulations that model parameters estimated with our technique are essentially bias-free, even when the average number of counts per bin is 1. ... The IW technique avoids such biases by estimating through successive iterations, where for each iteration, j, , and the best-fit parameters are determined by minimization of . ... In our sample, we find that the minimum values and best-fit parameters converge after about 6 iterations. ...

... This program was created for correlating chosen regions in the series of fts images. ... Chosen regions' . ... In this section the program counts the integral for each region of the grid for each image. ... As a matter of fact, the integral is total brightness of the region and it is counted by 'int_tabulated' IDL function. ... In addition, the program will show the count of the regions which correlate with the corresponding region (the brighter region means the bigger count) and its contour. ...

... The actual cross-correlations were done as follows: north of WGACAT was correlated with the GB6 catalog with a correlation radius of one arc minute. ... We therefore cross-correlated WGACAT with the GB6 and PMN radio catalogs with a 1.5 arcmin radius. ... As a result of this experiment, we then added to the WGACAT/PMN candidate list the 29 unclassified sources obtained from the 1.5 arcmin correlation and having PSPC offsets arcmin, ratio between X-ray/radio offset and positional error , and . ...

RELATIVE SUNSPOT NUMBERS Description of Data from SGD Explanation of Data Reports: Relative Sunspot Numbers -- The relative sunspot number is an index of the activity of the entire visible disk of the Sun. ... The provisional daily Zurich relative sunspot numbers, Rz, were based upon observations made at Zurich and its two branch stations in Arosa and Locarno and communicated by M. Waldmeier of the Swiss Federal Observatory. ... This indicates the uncertainty above and below the predicted number. ...

Download Izmccd (~2.7 MB). ... for 1-5 bytes is number of a numbered minor planet, . ... Positions 1-80 file "mpcreportiz.txt" are similar to positions of file "mpcreport.txt". 83-95 – errors of unit weight, . ... If this tag is " 1 0 " , this record contains results of measurements of an image of object (approximation by "PSF"),  . ... 57-66 – error in X (pixels), for first star in a multicentric image, for subsequent it is error in (distance between first star in the image and this), . ...

Statistics of sunspot activity . The sunspot indices . ... Visual indices of solar activity . ... n - number of spot groups . A - Waldmeier class of unipolar spot groups without penumbra . B - class of bipolar spot groups without penumbra . C - class of bipolar spot groups with one penumbra pole . D - class of small bipolar spot groups with two penumbra poles . E - class of middle bipolar spot groups with two penumbra poles . ... H - class of unipolar penumbrated spot groups . ...