=== Antenna === The 100-m telescope has a Gregorian design with a 100-m primary mirror (a paraboloid) and a 6.5-m secondary mirror (an ellipsoid). The prime mirror has a surface accuracy (rms) of about 0.55mm (best value) and follows a homologous design - this means that it maintains a parabolic shape at any given elevation (but always a different one!). The secondary mirror (which was replaced in 2006) has a surface error of only 60 μm. Additionally, its surface is equipped with 96 actuators, so that it can (partially) compensate incomplete homologous structures of the main dish (for observations from the secondary focus). The telescope is located at Longitude 6°53'01.0" East (6.88361°), Latitude 50°31'29.4" North (50.52483°); the Altitude (elevation axis = reference point) is 416.825 m (height over the reference ellipsoid). These positions are based on [[https://www.ccivs.bkg.bund.de/index.php?uri=quarterly/stationcoordinates/xyz|geodetic VLBI observations]] of the [[http://ivscc.bkg.bund.de|International VLBI Service for Geodesy & Astrometry (IVS)]]. The cartesian coordinates x = 4033947.225142 m y = 486990.906449 m z = 4900431.141999 m (as of May 2019) are have been used to determine the geographic coordinates above (Reference frame is the Earth ellipsoid defined by [[http://en.wikipedia.org/wiki/World_Geodetic_System|WGS84]]). Note, that these values correspond to the cross-section of the azimuth and elevation axis (i.e., the height of the elevation axis given above). That's the reference point ("geodetic point") of the antenna.\\ The corresponding track level height is 366.8 m. For some purposes, the height with respect to the [[https://en.wikipedia.org/wiki/Geoid|Geoid]] (i.e. "above mean sea level") is relevant. There are different models for the Earth gravitational field (which defines the amsl level), e.g., [[https://en.wikipedia.org/wiki/EGM96|EGM96]] or [[http://earth-info.nga.mil/GandG/wgs84/gravitymod/egm2008/egm08_wgs84.html|EGM2008]]. In Germany, also the [[https://de.wikipedia.org/wiki/Deutsches_Haupth%C3%B6hennetz|DHHN2012]] model is in use (sometimes also the older DHHN92). The latter is the basis for most topographic map material of the area. On the other hand, [[https://en.wikipedia.org/wiki/Shuttle_Radar_Topography_Mission|SRTM]] data are with respect to the EGM96 Geoid. With these models, the following heights can be derived ^Model^Correction w.r.t. WGS84 ellipsoid^Elevation axis height (amsl)^Track level height (amsl)^ |EGM96 | -48.0586 | 368.6445 | 318.6445 | |EGM2008 | -47.5935 | 369.1096 | 319.1096 | |DHHN2012 | -47.698 | 369.0051 | 319.0051 | (Based on results with online calculators from [[http://gibs.bkg.bund.de/geoid/gscomp.php?p=g|BKG]] and [[https://geographiclib.sourceforge.io/cgi-bin/GeoidEval|geographiclib]]) == Axis limits / Cable wrap == The Effelsberg telescope has an altazimuth-mount, with the limits:\\ 33.5° ≤ Azi ≤ 503° (i.e., 360° + 143° - there is an overleap in the East, 0° is North, 90° East)\\ 8.1° ≤ Elv ≤ 89°\\ With the lower elevation limit of 08°6', the theoretical declination limit ist -31°22'. In practice, observations below -31°0' do not really make sense. Table of source visibilities: ^Source declination [deg]^Visibility [hrs]^max. Elevation [deg]^ | 0| 8.8 | 39.5 | | -5| 8.2 | 34.5 | | -10| 6.6 | 29.5 | | -15| 5.6 | 24.5 | | -20| 4.4 | 19.5 | | -25| 3.2 | 14.5 | | -30| 2.1 | 9.5 | | -31| 1.0 | 8.5 | In addition, please note, that Effelsberg is located in a valley, hence, for a given declination the real visibility is somewhat smaller than the theoretical one. The optical horizon as seen from the lower edge of the telescope is shown in the figure. Although observations below the red line lead to a partly shadowed reflector and an increased system temperature, it is possible to observe sources at lower elevations without much loss at frequencies below 10 GHz. At higher frequencies the increase in Tsys in more severe. As reference we show here also the horizons that represent a 5K and 10K access to the 6cm system temperature with respect to the increase you would expect from airmass. They were were measured using skydips at 6cm wavelength at different azimuth directions. The VLBI SCHED catalog has an even lower horizon to allow a maximum VLBI observing time with stations in the east or west. {{:information_for_astronomers:user_guide:10k.horizont.png|}}