2012 Fiscal Year Final Research Report
Orbital Integration for Gravitational Three-body Problem based onTotally Conservative Integrator
| 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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| 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 |
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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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