X.12. Ephemerides

Ephemerides of minor planets, arranged in order of opposition date, are given on p. 6462 – 23098. The first and the last opposition dates occurring on each page are indicated on the left and right sides of the page header, respectively. The ephemerides are computed from numerical integration taking into account perturbations from those planets which were considered in determining the elements. The following data are tabulated for each planet:

1.The number and name or principal provisional designation of the minor planet, the opposition date, the mean anomaly on the fourth ephemeris date, the minimum value of the phase angle and the date of its occurrence, the last two figures of the year of the most recent astrometric observation. In case the planet is on critical list (not observed since 2009 or observed in fewer than four oppositions), the year of the last astrometric observations is followed by symbol C. When it is known that rotational lightcurve variations exceed 0.4 mag, at least on occasion, the ephemeris heading is ended in flag R. Where it is known or suspected that aspect variations cause large excursion (> 0.4 mag) in the observed magnitude from opposition to opposition the flag A is used rather than R.

2. For each of eight ephemeris dates, at 10-day interval: astrometric position (right ascension and declination) for 0 (hours) TT, referred to the equator and equinox of J2000.0, geocentric and heliocentric distances Δ and r, respectively, the phase angle, β, and the apparent V magnitude.

For all minor planets not included in the critical list the ephemeris uncertainty is expected to be less than 5 arcsec. For minor planets being on critical list there is insufficient information to assess the ephemeris accuracy.