TABLE 2

Performance comparison of model options. Peak errors in 14-day prediction arcs following a two-day orbit determination have been evaluated for eight test dates spread over a three-month period. Median and maximum errors over the tests are provided for various forms of simplifications relative to a comprehensive reference along with the approximate reduction in computational load. Models marked by a × symbol are recommended for use in the long-term propagator

ModelRecommendedOptionPeak error median/max [m]Runtime reduction [%]
NutationIAU980 (106 terms)(ref)
×49 terms > 0.0005″3.4 / 21–1
18 terms > 0.005″23/85–2
EOPsObserved(ref)
×Extrapolated34/59–2
Earth gravity12 × 12 model(ref)
10 × 10 model0.1 / 0.1–4
×9 ×9 model0.3 / 0.3–5
RelativitySchwarzschild correction(ref)
×neglected2.6/7.8–1
TidesSolid Earth(ref)
×k2 tide0.5 / 2.4–5
none34 / 74–8
Sun positionfull series(ref)
×terms > 5″3.7 / 5.0–4
Keplerian13/29–11
Moon positionfull series(ref)
×terms > 2″6.1 / 47–7
terms > 10″39 / 260–8
Recommended (×)32/62–25