On the optimal accuracy and double solution in the calculation of initial orbits

Details On the optimal accuracy and double solution in the calculation of initial orbits On the optimal accuracy and double solution in the calculation of initial orbits

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cha%26a..23..384j&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 23, Issue 3, p. 384-389.

Astronomy and Astrophysics

Astrophysics

Scientific paper

It is shown, by simulated calculation, that the reference vector algorithm we proposed of calculating initial orbits is ``quasi-optimal'', because its accuracy approaches the Cramér-Rao lower bound in the statistical theory of estimation and is proportional to the observing error. Double solution exists in the orbit calculation: the smaller the eccentricity and the closer the mean anomaly M0 is to +/-90°, the greater is the probability of getting the false solution. We propose an algorithm which gives two solutions, one of which must be the true one and it has a high accuracy.

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