Perturbations of the local gravity field due to mass distribution on precise measuring instruments: a numerical method applied to a cold atom gravimeter

Abstract

We present a numerical method, based on a FEM simulation, for the determination of the gravitational field generated by massive objects, whatever geometry and space mass density they have. The method was applied for the determination of the self gravity effect of an absolute cold atom gravimeter which aims at a relative uncertainty of 10-9. The deduced bias, calculated with a perturbative treatment, is finally presented. The perturbation reaches (1.3 \pm 0.1) \times 10-9 of the Earth's gravitational field.

12 pages, 7 figures

References in corpus (5)

• Limits to the sensitivity of a low noise compact atomic gravimeter
• Comparison between two mobile absolute gravimeters: optical versus atomic interferometers
• Operating an atom interferometer beyond its linear range
• A Measurement of Newton's Gravitational Constant
• Comparison of 3 absolute gravimeters based on different methods for the e-MASS project

Cited by in corpus (5)

• Concept study and preliminary design of a cold atom interferometer for space gravity gradiometry
• A compact differential gravimeter at the quantum projection noise limit
• Gravity field modelling for the Hannover 10m atom interferometer
• Self-attraction effect and correction on three absolute gravimeters
• Response functions of atom gravimeters