| Project/Area Number |
23654044
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Tokushima Bunri University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | エネルギー保存差分法 / 保存量 / 拘束力学系 / 3体問題, N体問題 / 周期軌道 / 平衡解軌道 / 近接遭遇 / 離散変分法 / 3 体問題 / N 体問題 / 非可積分系 / 拘束系 / エネルギー保存差分 / Lagrange 軌道 / 衝突解 |
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| Research Abstract |
Three-body problem is the problem of predicting the motion of three masses that interact with each other gravitationally. This problem has the following properties: (i) it conserves some quantities which are necessary to determine its orbits; (ii)it has time reversibility. Namely, the form of its backward-time evolution coincides with that of forward-time evolution; (iii) it yields equilibrium orbits for some initial conditions. Until we proposed an orbital integration scheme which keeps all of (i), (ii) and (iii), some schemes retaining only (i) and (ii) were known. For a long time interval, the proposed scheme precisely reproduces various periodic orbits that cannot be accurately computed byother generic integrators.
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