Abstract
This paper presents a methodology for Initial Orbit Determination (IOD) based on
a modification of the Laplace’s geocentric method. The orbital elements for Near-Earth
asteroids (1864) Daedalus, 2003 GW, 2019 JA8, a Hungaria-type asteroid (4690)
Strasbourg, and the asteroids of the Main Belt (1738) Oosterhoff, (2717) Tellervo,
(1568) Aisleen and (2235) Vittore were calculated. Input data observations from the
Minor Planet Center MPC database and Astronomical Observatory of the Technological
University of Pereira (OAUTP; MPC code W63) were used. These observations cover
observation arcs of less than 22 days. The orbital errors, in terms of shape and
orientation for the estimated orbits of the asteroids, were calculated. The shape error
was less than 53 × 10–3 AU, except for the asteroid 2019 JA8. On the other hand, errors
in orientation were less than 0.1 rad, except for (4690) Strasbourg. Additionally, we
estimated ephemerides for all bodies for up to two months. When compared with actual
ephemerides, the errors found allowed us to conclude that these bodies can be recovered
in a field of vision of 95’ × 72’ (OAUTP field). This shows that Laplace’s method,
though simple, may still be useful in the IOD study, especially for observatories that
initiate programs of minor bodies observation.
Publisher
The Korean Space Science Society
Subject
General Earth and Planetary Sciences,General Physics and Astronomy
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