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DC cancellation as a method of generating a t 2 -response and of solving the radial position error in a concentric free-falling two-sphere equivalence-principle experiment in a drag-free satellite

2000/05/31 by Benjamin Lange
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Concentric #Cosmology and Gravitation Theories #Discrete mathematics #Equivalence (formal languages) #Geometry #Geophysics and Gravity Measurements #Gravitation #Gravitational field #Mathematical analysis #Mathematics #Physics #Position (finance) #Solar and Space Plasma Dynamics #Weak equivalence #gr-qc

paper · pdf · doi:10.1088/0264-9381/27/17/175004

published in Classical and Quantum Gravity 27(17), 175004 (IOP Publishing) · 40 pages, 7 figures, Revision 3.0: Reviewer's suggested corrections for journal submission

arxiv created 2001/03/17 · openalex publication_date 2010/07/19 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This paper solves two major problems which have blocked a free-fall Equivalence-Principle (EP) in a satellite for 25 years: a semimajor-axis error between the two proof masses cannot be distinguished from an EP violation and the response to an EP violation only grows as t not t2. Using the cancellation method described in this paper, the nonobservability problem can be suppressed and a t2 response can be generated which lasts between 104 and 106 seconds depending on the cancellation accuracy. t2 response times between 105 and 106 seconds are equivalent to a very tall (0.1 to 10 AU) drop tower with a constant gravitational field of 3/7 ge.

Citations