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  1. Article

    Open Access

    Analytical stability in the Caledonian Symmetric Five-Body Problem

    In this paper, we develop an analytical stability criterion for a five-body symmetrical system, called the Caledonian Symmetric Five-Body Problem (CS5BP), which has two pairs of equal masses and a fifth mass l...

    B. A. Steves, M. Shoaib, Winston L. Sweatman in Celestial Mechanics and Dynamical Astronomy (2020)

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    Article

    The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit

    We locate members of a one-parameter family of equal-mass four-body periodic orbits in the plane. The family begins and ends with the rectilinear four-body equal-mass Schubart interplay orbit and passes throug...

    Valerie Chopovda, Winston L. Sweatman in Celestial Mechanics and Dynamical Astronomy (2018)

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    Article

    Orbits near central configurations for four equal masses

    This study relates to equal-mass four-body orbits close to a quadruple central configuration. Locally, these orbits can be approximated by a perturbation from the homothetic quadruple collision/expansion orbit...

    Winston L. Sweatman in Celestial Mechanics and Dynamical Astronomy (2014)

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    Article

    A global regularisation for integrating the Caledonian symmetric four-body problem

    Several papers in the last decade have studied the Caledonian symmetric four-body problem (CSFBP), a restricted four-body system with a symmetrically reduced phase space. During these studies, difficulties hav...

    Anoop Sivasankaran, Bonnie A. Steves… in Celestial Mechanics and Dynamical Astronomy (2010)

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    Article

    A Family of Symmetrical Schubart-Like Interplay Orbits and their Stability in the One-Dimensional Four-Body Problem

    We locate members of an important category of periodic orbits in the Newtonian four-body problem. These systems perform an interplay motion similar to that of the periodic three-body orbit discovered by Schuba...

    Winston L. Sweatman in Celestial Mechanics and Dynamical Astronomy (2006)

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    Article

    The Symmetrical One-dimensional Newtonian Four-body Problem: A Numerical Investigation

    Numerical simulations of the one-dimensional Newtonian four-body problem have been conducted for the special case in which the bodies are distributed symmetrically about the centre of mass. Simulations show a ...

    Winston L. Sweatman in Celestial Mechanics and Dynamical Astronomy (2002)