以下为句子列表：
英文: Linear and nonlinear oscillations, relaxation. Phase plane methods and multiple scales. Application to celestial mechanics and mechanical vibrations.
中文: 线性及非线性振动，松弛。相平面方法和多重衡量。天体力学和力学振动的应用。
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英文: The characteristic brings about some difficulties in the numerical research during their orbital evolution, which leads to the failure of the normalization technique in the general removal impact singularities of celestial mechanics methods and the Symple
中文: 这一特征给其轨道演化数值研究带来一些困难，包括天体力学方法中一般消除碰撞奇点的正规化处理以及对定性研究十分成功的辛算法都将在不同程度上失效。
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英文: The secular influence of solar mass-loss on the orbital elements of meteor steams is examined by using the method of celestial mechanics of variable mass in this paper.
中文: 摘要将作者在变质量天体力学所得理论结果应用于太阳质量损失对流星群轨道根数变化的长期效应上。
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