Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.135..271s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 135, no. 2, July 1987, p. 271-281.
Astronomy and Astrophysics
Astrophysics
17
Libration, Oblate Spheroids, Orbital Mechanics, Radiation Pressure, Systems Stability, Three Body Problem, Elliptical Orbits, Linear Systems
Scientific paper
This paper deals with the stationary solutions of the planar restricted three-body problem when the more massive primary is a source of radiation and the smaller primary is an oblate spheroid with its equatorial plane coincident with the plane of motion. The collinear equilibria have conditional retrograde elliptical periodic orbits around them in the linear sense, while the triangular points have long- or short-periodic retrograde elliptical orbits for the mass parameter 0 ≤ μ < μcrit, the critical mass parameter, which decreases with the increase in oblateness and radiation force. Through special choice of initial conditions, retrograde elliptical periodic orbits exist for the case μ = μcrit, whose eccentricity increases with oblateness and decreases with radiation force for non-zero oblateness.
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