TY - JOUR

T1 - Differential gravitational coupling between cylindrically-symmetric, concentric test masses and an arbitrary gravitational source: relevance to the STEP experiment

AU - Lockerbie, N.A.

AU - Veryaskin, A.V.

AU - Xu, X.

PY - 1993/11

Y1 - 1993/11

N2 - 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.

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.

KW - differential gravitational coupling

KW - test masses

KW - gravitational source

KW - STEP experiment

UR - http://dx.doi.org/10.1088/0264-9381/10/11/024

U2 - 10.1088/0264-9381/10/11/024

DO - 10.1088/0264-9381/10/11/024

M3 - Article

VL - 10

SP - 2419

EP - 2430

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 11

ER -