2016年数学建模美赛题目原文及翻译-B [个人思路]

PROBLEM B: Space Junk

原题下载:MCM-2016-B

The amount of small debris in orbit around earth has been a growing concern. It is estimated that more than 500,000 pieces of space debris, also called orbital debris, are currently being tracked as potential hazards to space craft. The issue itself became more widely discussed in the news media when the Russian satellite Kosmos-2251 and the USA satellite Iridium-33 collided on 10 February, 2009.

A number of methods to remove the debris have been proposed. These methods include small, space-based water jets and high energy lasers used to target specific pieces of debris and large satellites designed to sweep up the debris, among others. The debris ranges in size and mass from paint flakes to abandoned satellites. The debris’ high velocity orbits make capture difficult.

Develop a time-dependent model to determine the best alternative or combination of alternatives that a private firm could adopt as a commercial opportunity to address the space debris problem. Your model should include quantitative and/or qualitative estimates of costs, risks, benefits, as well as other important factors. Your model should be able to assess independent alternatives as well as combinations of alternatives and be able to explore a variety of important “What if?” scenarios.

Using your model, determine whether an economically attractive opportunity exists or no such opportunity is possible. If a viable commercial opportunity exists as an alternative solution, provide a comparison of the different options for removing debris, and include a specific recommendation as to how the debris should be removed. If no such opportunity is possible, then provide innovative alternatives for avoiding collisions.

In addition to the required one-page summary for your MCM submission, your report must include a two-page Executive Summary that describes the options considered and major modeling results, and provides a recommendation for a particular action, combination of actions, or no action, as appropriate from your work. The Executive Summary should be written for high level policy makers and news media analysts who do not have a technical background.


B题:太空垃圾

在绕地球的轨道上小碎片的数量已日益受到关注。据估计超过500000的太空碎片也叫做轨道碎片目前正被追踪由于其对航天器存在潜在的危害。这个问题在媒体上讨论越来越多,由于俄罗斯卫星的Kosmos-2251和美国铱卫星-33 在2009年2月10日相撞的事件, 太空垃圾被广泛讨论与传播出去,引起大家的关注。

现在已经提出许多方法以除去碎屑的方案。这些方法包括小的碎片,可以用空间的水射流处理,并用于针对碎片的特定部分高能激光器和大型卫星,旨在清扫杂物,等等。碎片的大小和质量范围从漆片的废弃卫星。我们很难进行高速轨道捕获碎片

开发时间依赖模型来确定一个私人公司可以采取作为一个商业机会,以解决空间碎片问题的替代品的最佳替代品或组合。您的模型应该包括成本,风险,收益定量和/或定性的估计,以及其他的重要因素。您的模型应该能够评估独立的替代方案以及替代品的组合,并能够探索各种重要的“如果什么?”的情景。

使用你的模型,确定经济上有吸引力的机会是否存在没有这样的机会是可能的。如果可行的商业机会的存在作为替代的解决方案,提供了用于去除碎屑的不同选项的比较,并包括特定建议作为对碎片应如何除去。如果没有这样的机会是可能的,然后提供用于避免碰撞的创新方案。

除了必需的单页摘要您的MCM提交,你的报告必须包括一份两页的内容摘要,介绍了考虑的选择和主要模拟结果,并提供了一个特定的行动建议,这些动作的组合,或无动作酌情从你的工作。


个人思路:

1 结合3D成像技术(难以实现):可尝试雷达3D 测相,进行图像识别分析,3D-modeling,3D成像算法来实现的范围内的慢时域相干成像。 应用图像处理完成策略的选择与结合。

参考:单范围匹配过滤(SRMF)-clean成像算法的空间碎片,将空间碎片的现有信息移动到成像过程

2、可以先收集些太空垃圾目前的分布数据,比如:时间位置、距地空间位置、垃圾类型,拿到这些数据我们才能进行合理的评估。可以用太空垃圾清除数量、清除率或清除速度与安全性,效益之间的关系建立模型。  可能要考虑空间变轨,目标轨迹捕捉,路径规划等技术。

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转载自blog.csdn.net/zhangty0223/article/details/50605156