proposed single open reflector for the galileo mission
TRANSCRIPT
SLR Tracking of GNSS Constellations, Metsovo 2009
Proposed Single Open Reflector for theGALILEO Mission
R.Neubert formerly with GFZ Potsdam, Germany, [email protected]
J.Neubert IB Neubert GmbH, Zurich, Switzerland, [email protected]
J.Munder SpaceTech GmbH, Immenstaad, Germany, [email protected]
L.Grunwaldt GFZ German Research Centre for Geosciences, Potsdam, Germany
SLR Tracking of GNSS Constellations, Metsovo 2009
Far Field of the GALILEO Prism Array
Single prism
Average
velocity aberration 23.7....24.2 µrad
50 25 0 25 500
250
500
750
1000cross section (84 prims)
µrad
Mill
ion
sqm
SLR Tracking of GNSS Constellations, Metsovo 2009
circular array, radius R=25cm, angle of incidence:
Single shot precision:
α=12°
Normal point precision:
σ = 2.6cm (12°)
σ resσ
N
σR2
sin α( )⋅
Expected Signature of the GALILEO Array
25 measurements required to get 5mm precision
SLR Tracking of GNSS Constellations, Metsovo 2009
SLR Tracking of GNSS Constellations, Metsovo 2009
The Proposed Open Reflector Geometry
Main Features of the Reflector:
•no pulse spreading•high effective radar cross section•small (up to 20cm diam. front face)•low weight
SLR Tracking of GNSS Constellations, Metsovo 2009
Far Field of the Open Reflector with Conical Wave Front
F
40 20 0 20 400
200
400
600cross section
µrad from center
Mill
ion
sqm
Wave front
Far Field
SLR Tracking of GNSS Constellations, Metsovo 2009
Conical Shape of the Mirrors
difference to perfect LRRin µm
remaining deformation afterintroducing 2.1arsec offsets
SLR Tracking of GNSS Constellations, Metsovo 2009
Wave Front and Far Field from ASAP, α=0°
SLR Tracking of GNSS Constellations, Metsovo 2009
Wave Front and Far Field from ASAP, α=12°
SLR Tracking of GNSS Constellations, Metsovo 2009
Far Field: Dependence on Orientation
α=6°
α=12°
0° 30° 60° Azimuth
SLR Tracking of GNSS Constellations, Metsovo 2009
Thermal Simulations of Orbital Heat Loads
Prelim inary Results, Designwill be further optim zed
• High transient variation of theaverage temperature is approx.20°C (blue line)
• Low spatial variation ofapprox. 4.5°C at 6000sec shortlyafter eclipse phase from45967sec to 1619sec (red line)
Color-coded temperature plot, Red = -35°CBlue = -39°C
Partial SunHeating shortlyafter Eclipse
Zerodur mirror, high-reflective dielectricalcoating, centered @532nm
SLR Tracking of GNSS Constellations, Metsovo 2009
Conclusion
The proposed open reflector is advantageous compared to the standard prism arraybecause of:
•no pulse spreading at all angles•equal or higher effective cross section but smaller dimension (higher antenna gain)•at low elevation (high angle of incidence) a single received photon is needed only to achieve the full resolution of the SLR system
Main problem area:thermal distortion caused by sun heating should be kept small by the use of selected Zerodur substrate, dielectric coating and sun shield