The goal of the present paper is to search for natural trajectories that can be used to place a spacecraft to observe the triple asteroid 2001SN₂₆₃. For a first set of observations mid-range distance orbits are ideal. To model this triple asteroid from a mid-range distance, it is considered that it can be modeled as a single ellipsoid body, which gives a simple mathematical model that allows on-board computation of trajectories. The mass is assumed to be equal to the sum of the masses of the three bodies and its dimensions are calculated considering the size of the orbits of Beta and Alpha. The objective is to search for orbits that can be used at the arrival time of the spacecraft in the vicinity of the triple asteroid to observe the bodies to make a better evaluation of their dimensions and dynamics before a good choice for a final orbit can be made. The two-dimensional elliptic restricted three-body problem is used as the mathematical model with the addition of the perturbations coming from the asteroid and the Sun irregular gravity fields (J₂). It is also considered the disturbance caused by the solar radiation pressure, a major force near asteroids.

中文翻译：

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三重小行星2001SN 263周围的中程自然轨道

本文的目的是寻找可用于放置航天器以观察三小行星2001SN _263的自然轨迹。对于第一组观测，中程距离轨道是理想的。为了从中程距离对这个三重小行星进行建模，可以将其建模为单个椭球体，从而给出了一个简单的数学模型，可以在机上计算轨迹。假定质量等于三个物体的质量之和，并且考虑到Beta和Alpha轨道的大小来计算其尺寸。目的是寻找可以在航天器到达三重小行星附近时使用的轨道，以观察物体，以便更好地评估其尺寸和动力学，然后才能做出最终轨道的良好选择。 。J ₂）。它也被认为是由太阳辐射压力引起的干扰，这是小行星附近的主要力量。