Differential gravitational coupling between cylindrically-symmetric, concentric test masses and an arbitrary gravitational source: relevance to the STEP experiment

N.A. Lockerbie, A.V. Veryaskin, X. Xu

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Abstract

The gravitational interaction between a point mass and a finite, hollow, thick-walled cylinder is calculated, the axial force is derived, and the parametric form of the coupling coefficients k2p is presented. This theory is applied to the test-masses for the Satellite Test of the Equivalence Principle (STEP) experiment, and an equation is derived for the differential gravitational coupling to these masses which is more than 105 times faster to compute than a Monte-Carlo integration of similar accuracy.
LanguageEnglish
Pages2419-2430
Number of pages11
JournalClassical and Quantum Gravity
Volume10
Issue number11
DOIs
Publication statusPublished - Nov 1993

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equivalence
coupling coefficients
hollow
interactions

Keywords

  • differential gravitational coupling
  • test masses
  • gravitational source
  • STEP experiment

Cite this

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AB - The gravitational interaction between a point mass and a finite, hollow, thick-walled cylinder is calculated, the axial force is derived, and the parametric form of the coupling coefficients k2p is presented. This theory is applied to the test-masses for the Satellite Test of the Equivalence Principle (STEP) experiment, and an equation is derived for the differential gravitational coupling to these masses which is more than 105 times faster to compute than a Monte-Carlo integration of similar accuracy.

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