Sunday, August 11, 2013

3 Year Resonance

Period (T) of Asteroid Orbit
T= 3 yr = 1,095.75 days 
Semimajor Axis (a)
a = ∛(T2) = 2.08 AU
Perihelion (q)

q = a - c
    Focus (c)

c = a - q
    c2 = a2 -2aq + q2  
Semiminor Axis (b)

b2 = a2 - c2  
b2 = 2aq - q2  = q (2a - q)
b = √(q (2a - q))
Semi Latis Rectum ()
  = b2 / a
q
b
(AU)(AU)(AU)
0.2 0.89 0.38
0.4 1.23 0.72
0.6 1.46 1.03
0.8 1.64 1.29
1 1.78 1.52
1.2 1.88 1.71
1.4 1.97 1.86
1.6 2.02 1.97
1.8 2.06 2.04
2 2.08 2.08

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