Evaluation of the Dynamic Magnetic Field Induced Effects on the Lattice Loading Efficiency of a Spaceborne Sr Optical Lattice Clock

We evaluate the effects of the dynamic magnetic field on the lattice-loading efficiency of a spaceborne Sr optical lattice clock. The orbital magnetic field is calculated using the International Geomagnetic Reference Field-14 model and calibrated with in situ MAG-13 magnetometer data to include quasi-static stray fields from onboard electrical equipment. An ensemble Monte Carlo simulation is then employed to systematically investigate the dependencies of the final ensemble-averaged atomic temperature and the optical lattice loading efficiency on the laser saturation parameter s and detuning \delta. Feedforward Helmholtz coil compensation based on the IGRF-14 calibrated field prediction restores the time-averaged efficiency from \bar\eta = 5.67\% in the uncompensated case to \bar\eta = 13.05\%. These results quantify the influence of dynamic magnetic fields on lattice loading and provide guidance for magnetic-field compensation in future spaceborne Sr optical lattice clock missions.