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Phys. Rev. D 72, 083004 (2005) [10 pages]

Analytic gravitational-force calculations for models of the Kuiper Belt, with application to the Pioneer anomaly

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Michael Martin Nieto*
Theoretical Division, Mississippi-B285, Los Alamos National Laboratory, USA
University of California, Los Alamos, New Mexico 87545, USA

Received 27 June 2005; published 19 October 2005

We use analytic techniques to study the gravitational force that would be produced by different Kuiper-Belt mass distributions. In particular, we study the 3-dimensional rings (and wedge) whose densities vary as the inverse of the distance, as a constant, as the inverse-squared of the distance, as well as that which varies according to the Boss-Peale model. These analytic calculations yield physical insight into the physics of the problem. They also verify that physically viable models of this type can produce neither the magnitude nor the constancy of the Pioneer anomaly.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.083004
DOI:
10.1103/PhysRevD.72.083004
PACS:
95.10.Eg, 96.50.Dj, 96.50.Jq

*Electronic address: mmn@lanl.gov