Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics
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DOI：
10.1007/s10444-014-9390-z
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发表时间：
2013-09
影响因子：
1.7
通讯作者：
P. Amodio;L. Brugnano;F. Iavernaro
中科院分区：
文献类型：
--
作者：
P. Amodio;L. Brugnano;F. Iavernaro
给出了一般哈密顿边值问题数值解的新方法。新公式的主要特点是产生能量精确守恒的数值解，就像解析解一样。我们应用这些方法来确定圆形约束三体问题的周期轨道，用它们的能量值而不是它们的周期作为输入数据。我们还使用这些方法来解决天体动力学中的最优传递问题。
We introduce new methods for the numerical solution of general Hamiltonian boundary value problems. The main feature of the new formulae is to produce numerical solutions along which the energy is precisely conserved, as is the case with the analytical solution. We apply the methods to locate periodic orbits in the circular restricted three body problem by using their energy value rather than their period as input data. We also use the methods for solving optimal transfer problems in astrodynamics.