| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
It is known that a three-body system can be used for an experimental test of modified gravity theories. In this research project, a formulation for the gravitational radiation reaction on a three-body system that is in the so-called Lagrange orbit is developed to examine the stability of the system. Surprisingly, some of the Lagrange orbits shrink in an adiabatic manner without chaos, though they are in a three-body system. In addition, we examine the relativistic linear stability of circular orbits around a rotating black hole (in a general form). Interestingly, some of the innermost stable circular orbits for a particular black hole model are found to be unstable against a non-radial linear perturbation. This might be important for future GW predictions.
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