Periodic orbits around the collinear libration points
نویسندگان
چکیده
منابع مشابه
Periodic Orbits Associated with the Libration Points of the Massive Rotating Straight Segment
The massive straight segment, rotating around the axis perpendicular to its center, is a simple alternative for more precise and sophisticated models that take into account the shape and mass density of natural asteroids. In this article we give numerical results for the families of periodic orbits that emanate from the five libration points of massive straight segment, and for some secondary b...
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In this paper we study symmetric periodic orbits of a collinear restricted three body problem, when the middle mass is the largest one. These symmetric periodic orbits are obtained from analytic continuation of symmetric periodic orbits of two collinear two body problems.
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Linear Dynamidly Varying (LDV) control is a technique for getting a natural (nonlinear, possibly chaotic) trajectory and a perturbed trajectory asymptotically synchroni7ed given an initial condition offset. Probably the best illustrative example, which motivates this paper, is tracking the natural (possibly quasi-periodic) molion of a Tkojan asteroid near the IA point of Jupiter with a spacecra...
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The “three-body problem”, which considers a system composed of three gravitating bodies rather than the two bodies of the classical Keplerian model, has been studied extensively for several hundred years. Investigations of the three-body problem have inspired many new developments in the mathematical theory of differential equations and dynamical systems. From a more practical standpoint, the s...
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Even if no protected regions are currently defined around the Sun-Earth libration points, missions in these orbits still have to be compliant with Space Debris Mitigation guidelines, for example for what concerns the casualty risk in case of re-entry. Past studies on the re-entries from libration orbits were carried out by performing a limited sensitivity analysis of the casualty area to the va...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2016
ISSN: 2008-1901
DOI: 10.22436/jnsa.009.04.27