【摘要】：分析了太陽引力攝動(dòng)下地-月系統(tǒng)的動(dòng)力學(xué)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(yùn)動(dòng),建立了受攝地-月問題的動(dòng)力學(xué)模型;求解此模型的平衡點(diǎn)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(jì)算結(jié)果表明,在太陽引力攝動(dòng)下,地-月系統(tǒng)的平衡點(diǎn)位于無攝三體系統(tǒng)的平動(dòng)點(diǎn)附近,穩(wěn)定性也與其附近的平動(dòng)點(diǎn)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(xué)航天學(xué)院;上海衛(wèi)星工程研究所;
【基金】：國(guó)家自然科學(xué)基金(61174204) 航天支撐基金資助項(xiàng)目(NAXW0006)
【分類號(hào)】：P13

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本文編號(hào)：2284222