from visual import *
# initial positions in au.
# on June 28.0, 1969 (Julian day 2440400.50)
r = array( [
    4.504795855674601e-03,  # Sun
    7.732544746890742e-04, 
    2.685039985573271e-04,
    3.617650084026384e-01,  # Mercury
   -9.077580081092690e-02, 
   -8.571250013597834e-02, 
    6.127542336221157e-01,  # Venus
   -3.483591895730089e-01, 
   -1.952758215816601e-01, 
    1.205197129002194e-01,  # Earth+moon
   -9.258323035784091e-01, 
   -4.015377611192672e-01, 
   -1.101837696063662e-01,  # Mars
   -1.327593278911103e+00, 
   -6.058866834707231e-01, 
   -5.379703845550703e+00,  # Jupiter
   -8.304767428789135e-01, 
   -2.248295252614748e-01, 
    7.894394222587950e+00,  # Saturn
    4.596483181197301e+00, 
    1.558697670343092e+00, 
   -1.826538634212984e+01,  # Neptune
   -1.161959795438843e+00, 
   -2.501080003472951e-01, 
   -1.605499953831724e+01,  # Uranus
   -2.394216805154041e+01, 
   -9.400159225576589e+00, 
   -3.048349217668479e+01,  # Pluto
   -8.724432817555443e-01, 
    8.911620591248875e+00 ])
# initial velocities in au/day
v = array( [ 
   -3.524457445683394e-07,  # SUN
    5.177637780672221e-06, 
    2.229113252400401e-06,
    3.367492758813184e-03,  # Mercury
    2.489452047536652e-02, 
    1.294630071041128e-02, 
    1.095206748972985e-02,  # Venus
    1.561768454932838e-02, 
    6.331105550175031e-03, 
    1.681126759384403e-02,  # Earth+moon
    1.748308899617618e-03, 
    7.582041930175932e-04, 
    1.448165239083299e-02,  # Mars
    2.424628123494023e-04, 
   -2.815196436092114e-04, 
    1.092015004926191e-03,  # Jupiter
   -6.518116265389094e-03, 
   -2.820782997470719e-03, 
   -3.217557586964646e-03,  # Saturn
    4.335809727271375e-03, 
    1.928645932522133e-03, 
    2.211920155513113e-04,  # Neptune
   -3.762477278855801e-03, 
   -1.651014777644869e-03, 
    2.642773506889557e-03,  # Uranus
   -1.498309226803948e-03, 
   -6.790394433396178e-04, 
    3.221893230538327e-04,  # Pluto
   -3.143582327761257e-03, 
   -1.077956399281471e-03 ] )
# Gm for bodies.
Gm = array([
     2.959122082855911e-004,  # SUN
     4.912547451450812e-011,  # Mercury 
     7.243456209632766e-010,  # Venus 
     8.997011658557308e-010,  # Earth  
     9.549528942224058e-011,  # Mars 
     2.825342103445926e-007,  # Jupiter 
     8.459468504830660e-008,  # Saturn 
     1.288816238138035e-008,  # Uranus 
     1.532112481284276e-008,  # Neptune 
     2.276247751863699e-012 ])  # Pluto