The two observations made on August 3 have improved appreciably the accuracy of
the orbital elements of 2010 TK7, reducing the formal error on semimajor axis by
a factor of 10 and that on eccentricity by a factor of 6. Still, the improvement
does not make the orbital evolution of our Trojan predictable for much longer
time than it was before.

The linked animated gif file shows the chaotic evolution of the orbit of 32
clones of the Earth Trojan from year 2012 to year 5312, a time interval
corresponding to nearly 9 full librations, in which the body will surely remain
a L4 Trojan.

The animation is composed of 161 frames. Each frame represent a 1 year orbit of
the set of clones, projected on the ecliptic plane, in a rotating reference
frame having the y axis oriented towards Earth (the short green line on top of
the image). The frames are taken at 20 years intervals. The 32 clones stick
together for the first 3 librations, then start to diverge, finally becoming
spread along the whole libration arc during the 9th libration.

http://www.webalice.it/alvitagl/Figures/EarTroj1.gif

If I can find enough patience I will later produce another animation, taken
after year 10000, showing the ejection of the first clones from the L4 space.

Aldo Vitagliano