WOLFRAM|DEMONSTRATIONS PROJECT

Akaike Criterion in Orbit Determination

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measurement error
0.001
orbit eccentricity
0.0167
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AIC
C
= 8540.53
AIC
E
= 54.0174
-1.5
-1
-0.5
0.5
1
1.5
-1.5
-1
-0.5
0.5
1
1.5
favored model: elliptical

Elliptic and circular orbits are found for points lying on an ellipse perturbed by Gaussian errors. The Akaike information criterion is then used to judge which of the models is more complex. The controls allow you to change the magnitude of the errors and the shape of the unperturbed curve.