System of Geodetic Parameters Parametry Zemli 1990 PZ-90.11

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System of Geodetic Parameters Parametry Zemli 1990 PZ-90.11 Authors: PhD Anastasiya N. Zueva, PhD Evgeniy V. Novikov, Dr. Dmitriy I. Pleshakov, PhD Igor V. Gusev Speaker: Igor Gusev 9 th Mee'ng of the Interna'onal Commi3ee on GNSS (ICG- 9) 10 14 November 2014, Prague, Czech Republic 1

The PZ-90.11 is the national Coordinate System introduced by the Russian Federation Government Decree 1463 of December 28, 2012, and used for geodetic support of orbital missions and navigation from January 15, 2014. The PZ-90 Coordinate System is a basis for geodetic support of the GLObal NAvigation Satellite System (GLONASS). 2

Responsible Organization: Ministry of Defense of the Russian Federation Abbreviated Frame Name: PZ-90 Associated TRS: PZ-90 Coverage of Frame: Global Type of Frame: 3-Dimensional orthogonal Last Version: PZ-90.11 Reference Epoch: 2010.0 System of Geodetic Parameters Parametry Zemli 1990 * PZ-90.11 * In Russian Earth Parameters 1990 3

Brief Description Parametry Zemli 1990 is a system of geodetic parameters including: fundamental geodetic constants, Earth ellipsoid parameters, Earth gravity field parameters, geocentric coordinate system, and transformation parameters to other reference systems. 4

Definition of Frame Origin: Earth s center of mass being defined for the whole Earth including oceans and atmosphere. Axes: Z-axis is directed to the Conventional Reference Pole that was defined by the International Earth Rotation and Reference Systems Service (IERS) and Bureau International de l'heure (BIH); X-axis is directed to the intersection point of the equatorial plane and the Zero Meridian defined by BIH; Y-axis completes a right-handed system. Scale: Conforms to the current state of knowledge of the speed of light, the geocentric gravitational constant as well as to the precision of the satellite laser ranging instruments. Orientation: Conforms to the Recommendations of BIH. Evolution: Zero rotation rate with respect to the ITRF2008. PZ-90.11 is agreed with ITRF2008. 5

Coordinate System: Orthogonal Cartesian Coordinates (X, Y, Z). The PZ-90 Coordinate System origin also serves as the geometric center of the PZ-90 ellipsoid and the Z-axis is its minor axis. The geodetic coordinates (latitude, longitude, height) are computed using this PZ-90 reference ellipsoid. Defining Parameters: PZ-90 is defined by four fundamental parameters: Parameter Notation Unit Value Semi-major Axis а m 6 378 136.0 Flattening Factor of the Earth Ellipsoid Gravitational Constant (Mass of Earth s Atmosphere Included) Angular Velocity of the Earth α 1/298.25784 fm m 3 /s 2 398 600.4418 10 9 ω rad/s 7.292 115 10 5 6

Relationship with other reference systems: Transformation parameters of reference systems are obtained based on the differences between the coordinates of the same sites defined in both systems. Transformation Parameters: Transformation parameters and their root-meansquare errors for PZ-90, PZ-90.02, PZ-90.11, WGS 84 (G1150) and ITRF2008. # From To ΔХ (m) ΔY (m) ΔZ (m) ω X (mas) ω Y (mas) ω Z (mas) m (10 6 ) Epoch 1 PZ-90 PZ-90.02 1.07 ±0.10 0.03 ±0.10 +0.02 ±0.10 0 0 130 ±10 0.220 ±0.020 2002.0 2 WGS 84 (G1150) PZ-90.02 +0.36 ±0.10 0.08 ±0.10 0.18 ±0.10 0 0 0 0 2002.0 3 PZ-90.11 ITRF2008 0.003 ±0.002 0.001 ±0.002 +0.000 ±0.002 +0.019 ±0.072 0.042 ±0.073 +0.002 ±0.090 0.000 ±0.0003 2010.0 7

Location of the sites in the Russian Federation used in PZ-90.11 8

PZ-90.11 Details: fundamental geodetic constants no changes, Earth ellipsoid parameters no changes, Earth gravity field parameters no changes, geocentric coordinate system updated, and as a consequence transformation parameters to other reference systems changes. PZ-90.11 accuracy parameters: # Parameter Accuracy 1 Earth s Center of Mass 0.050 m 2 Alignment of the Axes 0.001 3 Relative Position of the Sites 0.005-0.010 m 9

References: Parametry Zemli 1990 (PZ-90.11): Reference document. Moscow: Military Topographic Department of the General Staff of the Armed Forces of the Russian Federation, 2014, 52 p. 10

Conclusions: The new version of Parametry Zemli 1990 Coordinate System (PZ-90.11) is adopted in the Russian Federation. The PZ-90 Coordinate System is also used for orbital mission support and navigation. It has been implemented into GLONASS geodetic support. The PZ-90 is the GLONASS geodetic basis. From the GLONASS satellites, users directly receive coordinates in PZ-90 and time in the GLONASS time scale. The PZ-90.11 Reference document was issued. And the template described The Global Geocentric Coordinate System of the Russian Federation has been prepared and could be placed on ICG website. 11

Future Plans: The PZ-90.11 monitoring is to be provided and user access is to be granted to the coordinates of a number of the PZ-90.11 sites based on the monitoring results. The English version of the Reference document Parametry Zemli 1990 (PZ-90.11) is to follow and to be published on the websites of the Ministry of Defense of the Russian Federation and the Federal Space Agency. 12

Thank you! i.gusev@glonass-iac.ru 13