2012 Fiscal Year Final Research Report
Investigation of secular increase in astronomical unit in terms of verification of gravitational theories
| Project/Area Number |
21740193
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Iwate University (2011-2012)
Waseda University (2009-2010) |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | 位置天文学 / 天体暦 / 天文定数 / 重力理論 |
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| Research Abstract |
We investigated the secular increase in astronomical unit reported by Krasinsky and Brumberg from the planetary radar and spacecraft orbital tracking data, 15 +/- 4 m/century in terms of verification of gravitational theories. For this purpose, (a) we derived the approximate metric of Einstein's field equation which can describe the time variation of dark matter density in solar system, (b) we showed the method which can calculate the light/signal propagation in the time-dependent gravitational field by using the time transfer function based on Synge's world function, (c) we obtained the perturbation force due to inhomogeneous LTB model, and evaluated its effect on the planetary motion, and (d) based on the orbital angular momentum conservational law, we proposed new scenario to resolve the secular increase in astronomical unit.
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