igg Titelmaster On the Nomenclature of Reference Points and Local Ties Axel Nothnagel Institute of Geodesy and Geoinformation University of Bonn igg Definition of Reference Points A reference point is a point which is used to describe a location in space and time, representative for a certain purpose. Similar to the system and frame issue: a physical point with coordinates 2 Ideally reference points have a physical meaning If more than one or no physical point exists, it has to be defined by convention. igg − GNSS Reference Point − The GNSS antenna reference point (ARP) is defined as the center of the bottom of pre-amplifier An alternative would be the bottom center of the ground plane − ARP is a truely conventional reference point 3 igg GNSS Phase Center Phase center variations are modelled as a fixed vector plus azimuth and elevation dependent variations PCV = dϕ * λ /360° z ideal phase front r0 ax dr (α , ε ) = a ⋅ r0 + λ ⋅ dϕ (α , ε ) ε E a ARP 4 real phase front az x Görres 2010 − The choice of E is not unique, dφ(α,ε) depends on the choice of E − PCVs can only be applied to the phase observations, never to the coordinates GNSS coordinates are always referred to the ARP igg − − − DORIS Reference Point The DORIS (STAREC) antenna reference point is defined as the center of the red painted ring (= 400 MHz phase center) An alternative would be the 2 GHz phase center (Offset by –Δh) Center of „red ring“ is a truely conventional reference point 5 igg − − − − SLR Reference Point The SLR antenna reference point is physically defined as the intersection of the two axes (azimuth and elevation) This is a physical/mathematical reference point No alternative from physics or mathematics Any technique-specific corrections are applied to the observations (various dependencies) − No need for a convention − No need to call it „conventional reference point“ The SLR reference point 6 igg − − − − VLBI Reference Point The VLBI antenna reference point is physically defined as − the intersection of the two axes − projection point of the secondary axis on the primary axis This is a physical/mathematical reference point No alternative from physics or mathematics Any technique-specific corrections have to be applied to the observations (elevationdependent) − No need for a convention − No need to call it „conventional reference point“ The VLBI reference point 7 igg Conclusions (1/2) − Use the expression „reference point“ in a correct manner − DORIS and GNSS have Conventional Reference Points − There is nothing like an electrical reference point − SLR and VLBI have Reference Points − No need for further adjectives − Local tie measurements/local surveys or local ties in general can only link these reference points 8 igg − Conclusions (2/2) If global coordinate differences between techniques do not fit separate (at least conceptually) between − Local tie/survey discrepancies − Technique-specific errors − Avoid saying „the local ties don‘t fit“ Proposal for a Paris 2013 Declaration of all participants on the correct usage of terms 9
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