一个很基础的难题~~~~~~~~,拜托各位大虾了(200分)

  • 主题发起人 主题发起人 nekin
  • 开始时间 开始时间
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nekin

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这是偶同学的作业(很重要的一次作业),怎么看都没有想出一个头绪出来,所以还请各位大虾多指点一下小弟了。[B)]
In this project, the student will "solve" the three body problem.In this case the "solution" is to simulate a two dimensional(空间的) planetary(行星的) system under Newtonian(牛顿学说的) gravity(重力) with at least three bodies.(For example, the Earth, Sun, Moon system).The simplest possible simulation method is as follows:
1) Select a small "time step" to be used for simulation.
2) Specify masses and initial(最初的) positions and velocities(周转率) for each of the three bodies.
3) Move each of the bodies by a small amount according to its velocity and the time step.
4) Change the velocity of each of the bodies by a small amount according to its acceleration(加速度 ) and the time step.
5) Goto 3.
By printing the positions of the bodies in each time step, we can have a graphical display of how the system might evolve.Additional parts to the project might be:
i) Generalising(推广) to the 'n' body problem in three dimensions(维度).
ii) Investigating(研究,分析) the stability(稳定性) of the simulation according to the time-step.
iii) Investigation of the chaotic(混乱的,无序的) nature of three body systems.
iv) Creating a whole solar system.
 
倒,
翻译还行,做……小的不会。
帮你顶一下
 
这个题我不会做,但我把它翻成了汉语,也许对你有帮助!其中的一些专业术语可能翻得不是很准确,仅供参考!!!!!!
In this project, the student will "solve" the three body problem. In this case the "solution" is to simulate a two dimensional(空间的) planetary(行星的) system under Newtonian(牛顿学说的) gravity(重力) with at least three bodies.(For example, the Earth, Sun, Moon system).The simplest possible simulation method is as follows:
在这个工程中,学生要解决“三体问题”(three body problem)。这个解决方案要模拟牛顿重力学说下,至少包含三个星体(bodies)的二维行星系统(比如,地球-太阳-月亮 系统)。最简单的模拟方法如下:
1) Select a small "time step" to be used for simulation.
1)选择一个小的“时间步长(time step,估计是时间间隔吧)”来模拟。
2) Specify masses and initial(最初的) positions and velocities(周转率) for each of the three bodies.
2)为这三个星体指定质量、初始位置和周转率。
3) Move each of the bodies by a small amount according to its velocity and the time step.
3)根据时间步长和星体的周转率把每个星体的位置作轻微改变。
4) Change the velocity of each of the bodies by a small amount according to its acceleration(加速度) and the time step.
4)根据星体的加速度和时间步长把每个星体的周转率作轻微改变。
5) Goto 3.
5)跳到3
By printing the positions of the bodies in each time step, we can have a graphical display of how the system might evolve. Additional parts to the project might be:
通过在每个时间步长里打印各个星体的位置,我们可以生动地看到这个系统是如何发展的。这个工程的可选部分如下:
i) Generalizing(推广) to the 'n' body problem in three dimensions(维度).
i)推广到n个星体在三维空间中的运动问题。
ii) Investigating(研究,分析) the stability(稳定性) of the simulation according to the time-step.
Ii)根据时间步长来研究这个模拟系统的稳定性。
iii) Investigation of the chaotic(混乱的,无序的) nature of three body systems.
Iii)研究“三体系统(three body systems)”的无序性(chaotic nature)
iv) Creating a whole solar system.
iv)建立整个太阳系。
 
要解决这个问题估计需要用到“天体物理学”,牛顿第n定理。
由于专业不是物理,几年没有看这些知识了!!
我的物理知识差不多都还给老师了!!
 
[:)] 还是很感谢各位大虾的关注啊~~~
 
本来想要点分数 看来难!!!!
 
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