Issue |
A&A
Volume 446, Number 1, January IV 2006
|
|
---|---|---|
Page(s) | 357 - 360 | |
Section | Celestial mechanics and astrometry | |
DOI | https://doi.org/10.1051/0004-6361:20053828 | |
Published online | 09 January 2006 |
Out-of-plane equilibrium points in the restricted three-body problem with oblateness
Department of Engineering Sciences, University of Patras, 26500 Patras, Greece e-mail: [c.douskos;markellos]@des.upatras.gr
Received:
14
July
2005
Accepted:
26
September
2005
The equations of motion of the three-dimensional
restricted three-body problem with oblateness are found to allow
the existence of out-of-plane equilibrium points. These points
lie in the plane almost directly above and below the
center of each oblate primary. Their positions can be determined
numerically and are approximated by series expansions. The effects
of their existence on the topology of the zero–velocity curves
are considered and their stability is explored numerically.
Key words: celestial mechanics
© ESO, 2006
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