Masaya M. Saito1, Kiyotaka Tanikawa2
1Department of Information Security, University of Nagasaki, Siebold, 1-1-1
Manabino, Nagayo-cho, Nishi-Sonogi-gun, Nagasaki 851-2195, Japan
2National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka, Tokyo
181-8588, Japan
Pges 1–7
ABSTRACT
The motions of three bodies like Sun-Asteroid-Jupiter system or triple
star system are formalized as hierarchical three body problem. When the
third body orbits around the rest in a highly inclined elliptic orbit,
the system undergoes the oscillation, called the Kozai oscillation, where
the eccentricity may increase with decrease of the inclination of the orbital
plane. This type of orbits often ends in disruption of the system, that
is, the outermost body is thrown away. Inspections of such orbits show
that they undergo many state transitions, each of which visually seems
to form an invariant curve of the Kozai oscillation. However, the transition
process has not been well understood. For this reason, we try to map these
trajectories into a secular perturbation model with data assimilation technique.
Via such mapping, we will demonstrate to extract the state transitions
(between libration and circulation as well as between different levels
of the circulation
Keywords: Hierarchical triple system, Kozai mechanism, Data assimilation
Article History
Received 08 November 2021
Accepted 25 June 2022