On the use of Ajisai and Jason-1 satellites for tests of general relativity |
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| Institution: | 1. Centre National d’Etudes Spatiales (CNES), 18 Ave E. Belin, 31401, Toulouse cedex 9, France;2. Akka I&S, 6 rue Roger Camboulives, 31000 Toulouse, France;1. State Key Laboratory of Materials-Oriented Chemical Engineering, College of Chemistry and Chemical Engineering, Nanjing University of Technology, Nanjing 210009, Jiangsu, PR China;2. Laboratory for Nanotechnology, Institute of Microsystems Engineering (IMTEK), Albert-Ludwigs-University Freiburg, Freiburg 79110, Germany;1. Planetary Geodynamics Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA;2. SGT-Inc., Greenbelt, MD, USA;1. Space Science Division, Korea Astronomy and Space Science Institute, 776, Daedeok-Daero, Yuseong-Gu, Daejeon 305-348, South Korea;2. Hitotsubashi University, 2-1 Naka, Kunitachi 186-8601, Japan;3. Space Research Institute of the Austrian Academy of Sciences, Lustbuehelstrasse 46, A-8042 Graz, Austria;1. Space Science Division, Korea Astronomy and Space Science Institute, 776, Daedeok-Daero, Yuseong-Gu, Daejeon 305-348, Republic of Korea;2. Hitotsubashi University, 2-1 Naka, Kunitachi 186-8601, Japan;3. Space Research Institute of the Austrian Academy of Sciences, Lustbuehelstrasse 46, A-8042 Graz, Austria |
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| Abstract: | In this paper we analyze in detail some aspects of the proposed use of Ajisai and Jason-1, together with the LAGEOS satellites, to measure the general relativistic Lense–Thirring effect in the gravitational field of the Earth. A linear combination of the nodes of such satellites is the proposed observable. The systematic error due to the mismodelling in the uncancelled even zonal harmonics would be ～1% according to the latest present-day CHAMP/GRACE-based Earth gravity models. In regard to the non-gravitational perturbations especially affecting Jason-1, only relatively high-frequency harmonic perturbations should occur: neither semisecular nor secular bias of non-gravitational origin should affect the proposed combination: their maximum impact is evaluated to ～4% over 2 years. Our estimation of the root-sum-square total error is about 4–5% over at least 3 years of data analysis required to average out the uncancelled tidal perturbations. |
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