Automatic planetary defense Deflecting NEOs by missiles shot from L1 and L3 (Earth-Moon).

C. Maccone
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Abstract

We develop the mathematical theory for an automatic, space-based system to deflect NEOs by virtue of missiles shot from the Earth-Moon L1 and L3 Lagrangian Points. A patent application has been filed for the relevant code dubbed AsterOFF (=Asteroids OFF !). This code was already implemented, and a copyright for it was registered. In a paper published in Acta Astronautica, this author proved mathematically the following theorem: "Within the sphere of influence of the Earth, any NEO could be hit by a missile at just an angle of 90 degrees, was the missile shot from the Lagrangian Points L1 or L3 of the Earth-Moon system, rather than from the surface of the Earth". As a consequence, the hitting missile would have to move along a "confocal ellipse" (centered at the Earth) uniquely determined by the NEO's incoming hyperbola. The author further shows in this paper that: 1) The proposed defense system would be ideal to deflect NEOs that are small, i.e. less than one kilometer in diameter. 2) The traditional theory of Keplerian orbits can successfully be applied to get an excellent first-order approximation of the mathematical formulae of the energy-momentum requested to achieve the NEO deflection. Many engineering details about the missiles shot from L1 and L3, however, still have to be implemented into our simulations. 3) Was one missile not enough to deflect the NEO completely, it is a great advantage of the "confocal conics" used here that the new, slightly deflected NEO's hyperbola would certainly be hit at nearly 90 degrees by another and slightly more eccentric elliptical missile trajectory. A sufficient number of missiles could thus be launched in a sequence from the Earth-Moon Lagrangian points L1 and L3 with the result that the SUM of all these small and repeated deflections will finally throw the NEO off its collision hyperbola with the Earth.
自动行星防御用从L1和L3(地月)发射的导弹偏转近地天体。
我们开发了一个自动的、基于空间的系统,利用从地月L1和L3拉格朗日点发射的导弹来偏转近地天体。一项名为AsterOFF (=Asteroids OFF !)的相关代码的专利申请已经提交。这个代码已经实现了,并且已经注册了版权。在《宇航学报》上发表的一篇论文中,作者用数学方法证明了以下定理:“在地球的影响范围内,任何近地天体都可以被导弹以90度角击中,导弹是从地月系统的拉格朗日点L1或L3发射的,而不是从地球表面发射的”。因此,命中的导弹必须沿着“共焦椭圆”(以地球为中心)移动,这是由近地天体进入的双曲线唯一决定的。作者在论文中进一步表明:1)提出的防御系统将是理想的偏转小的近地天体,即直径小于1公里。2)传统的开普勒轨道理论可以成功地得到实现近地天体偏转所需能量动量数学公式的一阶近似。然而,关于从L1和L3发射的导弹的许多工程细节仍然需要在我们的模拟中实现。3)如果一枚导弹不足以使近地天体完全偏转,那么这里使用的“共焦圆锥”的一个巨大优势是,新的,稍微偏转的近地天体的双曲线肯定会被另一个稍微偏心的椭圆导弹弹道击中近90度。因此,足够数量的导弹可以从地月拉格朗日点L1和L3按顺序发射,结果是所有这些小而重复的偏转的总和将最终使近地天体脱离与地球的碰撞双曲线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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