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首页> 外文期刊>Results in Physics >Frozen apsidal line orbits around tiaxial Moon with coupling quadrupole nonlinearity
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Frozen apsidal line orbits around tiaxial Moon with coupling quadrupole nonlinearity

机译：耦合四极杆非线性的绕月球冻结冰点线轨道

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In this research paper, new families of frozen orbits of a satellite orbiting the oblate as well as triaxial Moon are investigated. The Hamiltonian of the problem is constructed including the zonal harmonic coefficients of the Moon's gravity field up toJ4and its triaxiality termJ2,2. Using two successive canonical Lie transforms, the short and long periodic terms are eliminated from the Hamiltonian. The secular terms are retained up to first order plus the coupling quadrupole nonlinearity. New families of the critical roots of inclination are revealed, one of them is very close the polar orbits and the other is near to the usual critical inclination. The variations in the critical inclination due to the change in the eccentricity, in the semi-major axis and in the argument of periapsis are studied. A family of frozen apsidal line orbits is obtained and then is represented graphically. To guarantee these orbits, the solution for the periapsis argument is solved. This actually set out some restrictions on choosing the inclination satisfying the frozen argument of periapsis orbits. The perturbations in the critical inclination become significant for the high lunar orbits.
机译：在这篇研究论文中，研究了绕扁圆以及三轴月球运行的卫星的冻结轨道的新族。构造了该问题的哈密顿量，其中包括月球重力场的纬向谐波系数J4和其三轴项J2,2。使用两个连续的规范李变换，从哈密顿量中消除了短期和长期周期项。长期项一直保留到一阶，再加上耦合四极杆非线性。揭示了新的临界倾角根族，其中一个非常接近极地轨道，另一个接近通常的临界倾角。研究了由于偏心率的变化，半长轴和蠕动参数引起的临界倾斜度的变化。获得一族冻结的上升线轨道，然后以图形表示。为了保证这些轨道，解决了peripasis参数的解决方案。这实际上对选择满足围岩轨道冻结论点的倾斜度设置了一些限制。临界倾角的扰动对于高月球轨道变得很重要。

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