Python UnboundLocalError帮助:分配前引用了局部变量

我以前曾发布过类似的问题，但是，我认为我可能会误解了我的问题，所以我可以只在此处发布我的原始代码，并寻找可以帮助我的人.

I have post the similar question before,however,I think I may have misinterpreted my question,so may I just post my origin code here,and looking for someone can help me,I am really stuck now..thanks alot.

from numpy import *
import math as M

#initial condition  All in SI unit
G=6.673*10**-11   #Gravitational constant
ms=1.9889*10**30 #mass of the sun
me=5.9742*10**24 #mass of the earth
dt=10           #time step
#Creat arrays
vs=array([[0,0,0]])     #1st element stand for x component of V of earth
ve=array([[29770,0,0]])
rs=array([[0,0,0]])           
re=array([[0,1.4960*10**11,0]])

#First update velocity in order to start leapfrog approximation
fs=-G*ms*me*((rs-re)/(M.sqrt((rs-re)[0][0]**2+(rs-re)[0][1]**2+(rs-re)[0][2]**2))**3)
fe=-fs
vs=vs+fs*dt/ms 
ve=ve+fe*dt/me

n=input('please enter the number of timestep you want it evolve:')
#update force
def force(n,ms,me,rs,re,G):
    rs,re=update_r(rs,re,n,dt)
    fs=-G*ms*me*((rs-re)/(M.sqrt((rs-re)[0][0]**2+(rs-re)[0][1]**2+(rs-re)[0][2]**2))**3)
    fe=-fs
    return fs,fe

#update velocities
def update_v(n,vs,ve,ms,me,dt,fs,fe):
    fs,fe=force(n,ms,me,rs,re,G)
    i=arange(n)
    vs=vs+fs[:]*i[:,newaxis]*dt/ms
    ve=ve+fe[:]*i[:,newaxis]*dt/me
    return vs,ve

#update position
def update_r(rs,re,n,dt):
    vs,ve=update_v(n,vs,ve,ms,me,dt,fs,fe)
    i=arange(n)
    rs=rs+vs[:]*i[:,newaxis]*dt
    re=re+ve[:]*i[:,newaxis]*dt
    return rs,re
#there is start position,v,r,f all have initial arrays(when n=0).
#then it should calculate f(n=1) then use this to update v(n=0)
#to v(n=1),then use v(n=1) update r(n=0) to r(n=1),then use r(n=1)
#update f(n=1) to f(n=2)....and so on until finish n.but this code seems doesnt do this,,how can I make it? – 

当我打电话给python时:

when i call force python gives:

please enter the number of timestep you want it evolve:4Traceback (most recent call last):
  File "<pyshell#391>", line 1, in <module>
    force(n,ms,me,rs,re,G)
  File "/Users/Code.py", line 24, in force
    rs,re=update_r(rs,re,n,dt)
  File "/Users/Code.py", line 39, in update_r
    vs,ve=update_v(n,vs,ve,ms,me,dt,fs,fe)
UnboundLocalError: local variable 'vs' referenced before assignment

有人可以给我一些提示吗?谢谢……

can anyone give me some tips?thanks......