#### Event Title

#### Start Date

4-1969 8:00 AM

#### Description

A procedure is derived for estimating the consistency of a radar observation of an object with a prediction of an orbiting object. This procedure may be of use as an association procedure., i.e., to insure that data is indeed being taken on an intended object before "associating" the new data with old data on the object.

Specifically we show that, with reasonable assumptions about the observational and prediction errors, a quadratic form associated with the position error vector has a chi-square distribution with 3 degrees of freedom. Thus we can compute the probability of the residual if the observation and the prediction come from the same object. A low probability is taken as an indication that the prediction and observation refer to different objects.

The computational procedure is described in detail, and a Monte Carlo run is included to demonstrate the correctness of the procedure.

A Satellite Association Procedure

A procedure is derived for estimating the consistency of a radar observation of an object with a prediction of an orbiting object. This procedure may be of use as an association procedure., i.e., to insure that data is indeed being taken on an intended object before "associating" the new data with old data on the object.

Specifically we show that, with reasonable assumptions about the observational and prediction errors, a quadratic form associated with the position error vector has a chi-square distribution with 3 degrees of freedom. Thus we can compute the probability of the residual if the observation and the prediction come from the same object. A low probability is taken as an indication that the prediction and observation refer to different objects.

The computational procedure is described in detail, and a Monte Carlo run is included to demonstrate the correctness of the procedure.

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