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It is seen that Trilateration with no constraints has a median value of ~ 412km, while CBG with Tri-lateration is closer to 250km.

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Comparison with the Apollonius Geolocation Algorithm

We also evaluated the performance of the Apollonius geolocation algorithm that uses tangential circles rather than the intersecting circles of tri-lateration. In this case we had successes with 105 targets. The frequency and cumulative distributions are seen in Figure 1. It is seen that Apollonius performs similarly to Tri-lateration with a median error of about 449ms.

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We then compared our modified CBG using tri-lateration with CBG using Multi-lateration. The distributions are shown below, and more details are in the spreadsheet.

It is seen that the two dsitributions are very similar with multi-lateration having a smaller median error. It also has a higher success rate (see the table below).

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