【摘要】：分析了太陽引力攝動下地-月系統(tǒng)的動力學特性。以地-月圓型限制性三體問題為基礎(chǔ),考慮與其非共面的太陽運動,建立了受攝地-月問題的動力學模型;求解此模型的平衡點位置,考察了它們的變化規(guī)律及穩(wěn)定性;構(gòu)造了非自治系統(tǒng)的類Jacobi積分,從而得到受攝三體系統(tǒng)的零速度面,分析了其連通域隨地-月相位的變化情況。計算結(jié)果表明,在太陽引力攝動下,地-月系統(tǒng)的平衡點位于無攝三體系統(tǒng)的平動點附近,穩(wěn)定性也與其附近的平動點保持一致,受攝系統(tǒng)的Hill連通域與地月相位有關(guān),并呈非周期性變化。
[Abstract]:The dynamic characteristics of the earth-moon system under the solar gravity perturbation are analyzed. On the basis of the restricted three-body problem of the Earth-Moon circle, the dynamic model of the Earth-Moon problem is established by considering the non-coplanar solar motion, and the equilibrium position of the model is solved, and the variation law and stability of the model are investigated. In this paper, the quasi-Jacobi integral of the nonautonomous system is constructed, and the zero velocity surface of the three-body system is obtained, and the change of the phase from anywhere to the moon in the connected domain is analyzed. The results show that the equilibrium point of the Earth-Moon system is near the translational point of the non-perturbed trisomy system under the solar gravitational perturbation, and the stability of the system is consistent with that of its nearby translational point. The Hill connected region of the system is related to the phase of the Earth-Moon system. The changes were aperiodic.
【作者單位】： 西北工業(yè)大學航天學院;上海衛(wèi)星工程研究所;
【基金】：國家自然科學基金(61174204) 航天支撐基金資助項目(NAXW0006)
【分類號】：P13

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本文編號：2284222