THE INCLINATION OF THE PLANETARY SYSTEM RELATIVE TO THE SOLAR EQUATOR MAY BE EXPLAINED BY THE PRESENCE OF PLANET 9
THE INCLINATION OF THE PLANETARY SYSTEM RELATIVE TO THE SOLAR EQUATOR MAY BE EXPLAINED BY THE PRESENCE OF PLANET 9
复制标题
行星系统相对于太阳赤道的倾斜可以通过行星 9 的存在来解释
DOI：
10.3847/1538-3881/153/1/27
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
A. Morbidelli
中科院分区：
文献类型：
--
作者：
R. Gomes;R. Deienno;A. Morbidelli
我们评估了一颗遥远的行星，通常被称为行星9，对太阳系巨行星动力学的影响。我们发现，巨行星的动力学可以分解为相对于其自身不变平面的经典拉格朗日-拉普拉斯动力学和相对于太阳系（包括行星9）的总角动量矢量的所述平面的缓慢进动。在行星9的特定配置下，这种岁差可以解释目前巨行星的不变平面和太阳赤道之间的倾斜度为0.66 °。开发了一个分析模型来映射作为行星9的质量和轨道要素的函数的内部巨行星不变平面的倾角的演化，并对运动方程进行了数值模拟以验证我们的分析方法。行星9的升交点的经度被发现与巨行星不变平面的升交点的经度有关，这也限制了行星9在黄道上的交点的经度。一些行星9的配置，允许解释目前的太阳倾斜是兼容的那些建议解释遥远的柯伊伯带天体的轨道约束。这项工作对目前内部巨行星的不变平面和太阳赤道之间的倾斜给出了一个优雅的解释，并为行星9的轨道要素增加了新的约束。
We evaluate the effects of a distant planet, commonly known as planet 9, on the dynamics of the giant planets of the solar system. We find that the dynamics of the giant planets can be decomposed into a classic Lagrange–Laplace dynamics relative to their own invariant plane and a slow precession of said plane relative to the total angular momentum vector of the solar system, including planet 9. Under specific configurations for planet 9, this precession can explain the current tilt of ∼6° between the invariant plane of the giant planets and the solar equator. An analytical model is developed to map the evolution of the inclination of the inner giant planets’ invariant plane as a function of the planet 9's mass and orbital elements, and numerical simulations of the equations of motion are performed to validate our analytical approach. The longitude of the ascending node of planet 9 is found to be linked to the longitude of the ascending node of the giant planets’ invariant plane, which also constrains the longitude of the node of planet 9 on the ecliptic. Some of the planet 9 configurations that allow the explanation of the current solar tilt are compatible with those proposed to explain the orbital confinement of distant Kuiper Belt objects. This work gives an elegant explanation for the current tilt between the invariant plane of the inner giant planets and the solar equator and also adds new constraints to the orbital elements of planet 9.