TITLE:
Two periodic models for the Earth-Moon system

AUTHORS:
Marc Jorba-Cusco^(1), Ariadna Farres^(2), Angel Jorba^(1)

E-mails: marc@maia.ub.es, ariadna.farres@maia.ub.es, angel@maia.ub.es

ABSTRACT:
This paper discusses two alternative models to the Restricted Three
Body Problem (RTBP) for the study of a massless particle in the
Earth-Moon system. These models are the Bicircular Problem (BCP) and
the Quasi-Bicircular Problem (QBCP). While the RTBP is autonomous, the
BCP and the QBCP are periodically time dependent due to the inclusion
of the Sun's gravitational potential. Each of the two alternative
models is suitable for certain regions of the phase space. More
concretely, we show that the BCP is more adequate to study the
dynamics near the triangular points while the QBCP is more adequate
for the dynamics near the collinear points.