Equinox and equator determinations from hypothetical minor planet observations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Astrometry, Celestial Mechanics, Equators, Equinoxes, Hypotheses, Quadratures, Space Observations (From Earth), Tables (Data), Asteroids, Observations, Simulations, Mathematical Models, Distribution, Data, Orbits, Astronomy, Inclination, Theoretical Studies

Scientific paper

The effects of observation conditions and subjects on the expected mean errors in corrections to the equinox and equator obtained from hypothetical minor planet observations are examined. Hypothetical observations of the right ascensions and declinations of minor planets 1 (Ceres), 2 (Pallas), 3 (Juno), 4 (Vesta), 6 (Hebe), 7 (Iris), 8 (Flora), 9 (Metis) and 15 (Eunomia) were calculated for the period from January 2, 1980 to January 1, 1990, and the mean errors of the unknowns in the equations of condition were determined. Mean errors are found to decrease with increasing proportion of clear nights, length of observing period, and number of minor planets and indicate the optimal conditions for an earth-based observing program to be a location with a minimum of 60% clear nights distributed throughout the year, a duration of four years and using four to nine minor planets, most importantly 1, 4, 7 and 15. For a spaceborne observing program, calculations indicate that observations should be made from opposition to quadrature using those planets of low inclination to the ecliptic and small semimajor axis.

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