Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

The gravitational coupling between longitudinal segments of a hollow cylinder and an arbitrary gravitational source: Relevance to the STEP experiment

Lockerbie, N.A. and Xu, X. and Veryaskin, A.V. (1996) The gravitational coupling between longitudinal segments of a hollow cylinder and an arbitrary gravitational source: Relevance to the STEP experiment. Classical and Quantum Gravity, 13 (8). pp. 2041-2059. ISSN 0264-9381

Full text not available in this repository. Request a copy from the Strathclyde author

Abstract

The gravitational interaction is derived between a solid longitudinal segment cut from a cylinder of uniform density, and an external point mass. The derivation is expressed p(2p+m+1)(m)(cos theta), and the parametric form of the coupling coefficients K-2p,K-m,K-alpha(psi) is presented. This theory is applied to the gravitational interaction between a point mass and a finite hollow cylinder, where the cylinder bears a number of 'flats' cut into its outer surface. The 'flats' are imagined to be regularly spaced in azimuth around the cylinder, each flat being treated as the removal of a solid segment from the full cylinder. Such forms of test mass have been proposed for the satellite test of the equivalence principle (STEP) experiment, since the masses may then be prevented from rotating in azimuth-a factor which is considered to be essential for this experiment. The gravitational theory developed here is applied to such STEP test masses, and two 'low gravitational susceptibility' designs for test-mass pairs are considered, having four and six 'flats', respectively. An expression for the axial force on such masses is derived which is more than 10(5) times faster to compute than a Monte Carlo integration of similar accuracy, by virtue of which it is shown that a design with six or more 'flats' is to be preferred. This theory is shown to have much wider applicability to gravitational problems involving general segmented cylindrical bodies, including square- and hexagonal-section prisms of finite length (hollow or solid).