The leaning tower of Pisa . ... The velocity of a ball dropped from a high place increases each second by a constant amount, usually denoted by the small letter g (for gravity). ... For the falling ball in the preceding example, after t seconds that would be . ... If in addition the ball is also given at the start a horizontal velocity w , its horizontal motion continues unimpeded, advancing a distance w each second, even while the ball is falling (air resistance is now ignored). ...

... Free Fall . ... Legend has it that he climbed to the top of the leaning tower of Pisa and from there dropped simultaneously heavy and light balls, noting that they hit the ground at the same time. ... This is modified by the resistance of the air, which becomes important at higher speeds and usually sets an upper limit ("terminal velocity") to the fall velocity--a much smaller limit for someone using a parachute than one falling without. ... A longer string of course extends the fall time. ...

Method of Calculating Cometary Orbits . ... A method of constructing a numerical theory of comet motion covering large intervals of time is presented. ... Very Long Baseline Interferometry (VLBI), Near Earth Objects (NEOs), calculating cometary orbits, numerical theory of comet motion covering large intervals of time , radial component of non-gravitational acceleration , transverse component of non-gravitational acceleration , normal component of non-gravitational ...

are denoted by the following symbols and may be taken to have the values below Elementary charge Speed of light in vacuum Planck constant Permeability of vacuum Permittivity of vacuum Unified atomic mass constant Rest mass of proton Rest mass of electron Boltzmann constant Avogadro constant Gravitational ... Write down the expression for the gravitational field, g, at distance r from a point mass of mass m, carefully defining all the terms in your expression. ...

The VIRGO project is a physics experiment; its aim is the detection of gravitational waves. ... It has not yet been possible to detect directly the gravitational waves: it remains one of the major challenges of experimental physics. ... Interferometric antennas for gravitational waves Gravitational waves distort space-time: along two perpendicular directions, the distances between fixed points will increase (resp. decrease), at the arrival of a gravitational wave. ... Publications from our Group . ...

... Survey Telescopes . ... Astronomers using ESOтАЩs world-leading HARPS instrument have discovered a planetary system containing at least five planets, orbiting the Sun-like star HD 10180. ... The newly discovered system of planets around HD 10180 is unique in several respects. ... All very massive planetary systems are found around massive and metal-rich stars, while the four lowest-mass systems are found around lower-mass and metal-poor stars [5] . ... ESOcast 20: Richest planetary system discovered...

... Exposure Time Calculator (ETC) . Survey processing . ... VISTA is a 4-m class wide field survey telescope for the southern hemisphere, equipped with a near infrared camera (1.65 degree diameter field of view at VISTA's nominal pixel size) containing 67 million pixels of mean size 0.34 arcsec and available broad band filters at Z,Y,J,H,K s and a narrow band filter at 1.18 micron. A wide field visible camera, if constructed, could also be used on VISTA. ... Tile . ... ESO VISTA Public Surveys . ...

HUBBLE SPACE TELESCOPE DAILY REPORT #1529 PERIOD COVERED: 0000Z (UTC) 12/04/95 - 0000Z (UTC) 12/05/95 Daily Status Report as of 339/0000Z 1.0 ACTIVITIES SCHEDULED AND ACCOMPLISHED: 1.1 Completed Four Sets of WF/PC-2 6188 (WF/PC-2 Cycle 5 Calibration: = Dark) The WF/PC-2 was used to make internal dark calibration images. ... The observations were executed as scheduled, and no anomalies were = noted. ... Otherwise, the observations were = executed as scheduled, and no anomalies were noted. ...

... SONG: Under the Ivy It wouldn't take me long To tell you how to find it To tell you where we'll meet This little girl inside me Is retreating to her favourite place Go into the garden, go under the ivy Under the leaves, away from the party Go right to the rose Go right to the white rose I sit here in the thunder The green on the gray I feel it all around me And it's not easy for me To give away a secret It's not safe To go into the garden, go ... December will be magic again.. ...

... It turns out one possibility is a form of matter/energy invented by Einstein in the 1920s to make sure his equations of General Relativity did not predict the Expansion of the Universe. Although Einstein was willing to predict several things with his equations of General Relativity, he obviously thought an expanding Universe was too much, and so he invented the Cosmological Constant, which repels itself, and was meant to balance the force of gravity, and make the Universe static. ...

The ESA/ESO Astronomy Exercise Series 2 . The Distance to Messier 100 as Determined by Cepheid Variable Stars . ... The small variations in distance to the individual Cepheid variable stars in the Cloud are negligible compared with the much larger distance to the SMC. ... In this way Cepheid variable stars can be used as one of the 'standard candles' in the Universe that act either as distance indicators themselves or can be used to calibrate (or set the zero point for) other distance indicators. ...

Next: SMUDGES Up: Minutes of the 1st Previous: Pilot Survey . ... The Jodrell Virgo survey is part of HIJASS and encompasses 4 X 8 degrees, fully sampled. ... This indicates that we should perhaps survey the outskirts of the cluster to look for low mass clouds. In the survey, objects were detected using a combination of by-eye method and automated routine. 28 detections of well known galaxies . ... Velocity distribution suggests infall or extension along the line of sight. ... Jon . ...

... SQL | ... Tutorial: determine H0 using SQL queries to LEDA . ... We select in the database all galaxies with known velocity and magnitude and similar to a given template for which we know the distance, the magnitude and the radial velocity. ... We simply have to choose a property which does not depend on the distance, as for example the rotation velocity ( log(vrot) ) and select the galaxies having log(vrot) in a very narrow range around the value for the template galaxy. ... leda@univ-lyon1.fr ...

... Code: UVCOV Start Day 109 is Sun 18 Apr 2004 MJD 53113 Schedule Version: 0.00 Processed by SCHED version: Release of 18 Sept. ... The distance from the Sun to each source in this schedule is: Source Sun distance (deg) TEST2 93.5 Barry Clark estimates from predictions by Ketan Desai of IPM scattering sizes that the Sun will cause amplitude reductions on the longest VLBA baselines at a solar distance of 60deg F^(-0.6) where F is in GHz. ... Code versions: Release version: Release of 18 Sept. ...

. $\pi_n$ is a group . $\pi_n$ is homotopy invariant . For $n \ge 2$, the group $\pi_n$ is Abelian. Feldbau lemma . Covering homotopy theorem . The homotopy sequence of a fibration is exact . Existence and universality of a simply connected covering . Classification of coverings . Fundamental group of a wedge of circles . Sphere is orientable . Euler's formula for embedded graphs . $\pi_n(S^n) = \Integer$ . How to calculate a fundamental group using cellular decomposition

Computer experiments in Astrophysics . Text in KOI8 (new variant) . ... Figure 2 PostScript . Figure 3 GIF . ... Variants of Figure 5 . ... Variant 2 (GIF): EVOLUTION OF LARGE-SCALE STRUCTURE IN A CDM UNIVERSE WITH COSMOLOGICAL CONSTANT z=0 . ... Variant 4 (GIF): SIMULATIONS OF GALAXY FORMATION z=0.9 . ... GRAPE-5: A Special-Purpose Computer for N-body Simulation . 7.0/Mflops Astrophysical N-Body Simulation with Treecode on GRAPE-5 . A TreePM code for Cosmological N-Body simulations . ...

In the regular experiments carried out with the RAS radio telescopes at Pushchino during 1999-2002, the study of the radial dependence of scattering of compact natural radio sources was extended to remote regions of the solar plasma environment. ... The stream in the transalfvenic region displays the same typical radial structure as observed in the transonic region, i.e., the existence of a "precursor" - a narrow band of reduced scattering preceding a wide region of enhanced scattering. ...

Moon Games . ... But apparent angular size , or the angle covered by an object, can also be important to Moon enthusiasts . ... Of course the Sun is much larger than the Moon, 400 times larger in fact, but today the New Moon will just cover the Sun. ... A partial eclipse is visible from a broader region). Solar eclipses illustrate the happy coincidence that while the Sun is 400 times the diameter of the Moon, it is also 400 times farther away giving the Sun and Moon exactly the same angular size . ...

THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY The Pioneer Anomaly : Effect, New Data and New Investigation Slava G. Turyshev Jet Propulsion Laboratory, California Institute of Technology Seminar at the Sternberg Astronomical Institute Moscow State University, Moscow, 6 February 2007 1 THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ... Are they relevant to the Pioneer anomaly? ...