EXCITATION OF THE POLAR MOTION AND ROTATION RATE |

Chandler period : Chandler quality factor : |
Starting date : year Ending date : year |

Coefficients of the effective angular momentum function (by default: from Gross et al, JGR, 2005): Matter-equatorial |

This tool allows you to compute the excitation functions
of the Earth rotation χ
(according to the "Euler-Liouville" formalism) and to compare
them to the _{1}, χ_{2}, χ_{3}geophysical excitation functions, as far as these later
ones are available. Comparison is done through visual plot and computation
of the correlation coefficients.
- The
**observed excitation functions**(χ_{x}, χ_{y}, χ_{z}) are computed from the pole coordinates (x,y) and length of day changes ΔLOD of the IERS C04 series (sampling of 1 day, fluctuations > 6 days) according to the equations : χ_{x}+ i χ_{y}=(x-i y) + i/σ_{c}d(x-iy)/dt where σ_{c}is the Chandler angular frequency : (σ_{c}= 2π/T ( 1 + i / 2 Q), T Chandler period, Q quality factor) and χ_{z}=ΔLOD (actually the true adimensionel axial excitation function is ΔLOD / LOD with LOD =86400 s TAI). The equatorial excitation function χ_{x}+ i χ_{y}is computed according to an algorithm such as the one introduced by Wilson and Vicente (1981,1985,2002) . - Comparison can be done with :
**Atmospheric Angular Momentum**Functions provided by the Special Bureau for Atmosphere of the IERS (NCEP-NCAR reanalysis time series) (http://files.aer.com/aerweb/AAM) from**1962 to 2016/1/1 (see readme).**From**2016/1/1****up to the current week**these data are completed by those of the operational NCEP model**Oceanic Angular Momentum (OAM)**functions of the ECCO model : file ECCO_50yr.chi (10 day values from 1962 to 1993 daily interpolated at 0hUTC) + file ECCO_kf080 (daily values from 1993 to last current year, assimilation of altimetric measurements of the sea surface, NCEP/NCAR atmospheric forcing), provided by the Special Bureau for Oceans of IERS (responsible : Richard Gross). In March 2019 we add the operational MPIOP series, as computed by GFZ from MPIOM (Max-Planck-Institute Ocean Model), daily updated and spanning the period 1976-one day back from now**Hydrological Angular Momentum (HAM)**functions (since March 2019). HAM series of the LSDM model, as estimated by GFZ, daily updated and spanning the period 1976-one day back from now**Sea Level Angular Momentum (SLAM)**functions (since March 2019). SLAM series of the ECMWF-MPIOM-LSDM coupled model, as estimated by GFZ, daily updated and spanning the period 1976-one day back from now- For the observed axial excitation the
**effect of zonal gravitational tides is removed**. - The atmospheric and oceanic angular momentum functions are filtered and sampled before comparison. By default the pressure term is associated with oceans reacting as "Inverted Barometer" (IB) in front of the pressure variations : this is a realist approximation for variations larger than 10 days (for rough pressure term click the button "Non IB").
- Geodetic Excitation functions are derived from combined series C04 using an algorithm based upon trapezoidal integration of the geodetic excitation function.
- The equatorial excitation function is based upon the knowledge of the Chandler term period T and its quality factor Q. As these parameters are affected by large uncertainties, we let you the possibility to tune them within the allowed bands (426 <T<439 days; 50<Q<200). The excitation function in the Chandler frequency band can be spoiled by bad choice of these parameters. Outside this band the choice of these parameter is not critic.
- Since March 2019 the user can fix by himself the coefficients of the effective angular momentum functions.
C. Bizouard |