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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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  2. No Access

    Article

    Variable order and stepsize in general linear methods

    This paper describes the implementation of a class of IRKS methods (Wright 2002). These GLM algorithms are practical with reliable error estimators (Butcher and Podhaisky, Appl. Numer. Math. 56, 345–357 2006). Th...

    Saghir Ahmad, J. C. Butcher, Winston L. Sweatman in Numerical Algorithms (2019)

  3. No Access

    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)

  4. No Access

    Chapter and Conference Paper

    A Mathematical Model of the Ripening of Cheddar Cheese

    Cheddar cheese undergoes a number of biochemical changes during ripening. These processes were modelled with differential equations in a project at MISG2013 (the 2013 mathematics-in-industry study group) at Qu...

    Winston L. Sweatman, Steven Psaltis… in Progress in Industrial Mathematics at ECMI… (2016)

  5. No Access

    Chapter and Conference Paper

    Mathematics-in-Industry Study Group Projects from Australia and New Zealand in the Past Decade

    Mathematics in Industry Study Groups (MISG) have been an annual event in Australia and New Zealand since 1984. Projects from the last decade are considered. Among the industries involved are those of steel, el...

    Winston L. Sweatman in Interdisciplinary Topics in Applied Mathem… (2015)

  6. No Access

    Chapter and Conference Paper

    Symmetric Four-Body Problems

    The gravitational N-body problem has long been a source of theoretical investigation with application to astronomical systems. There is a rich and varied dynamics. With systems of four bodies arranged symmetri...

    Winston L. Sweatman in Interdisciplinary Topics in Applied Mathem… (2015)

  7. No Access

    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)

  8. No Access

    Chapter and Conference Paper

    Pollutant Transport and Its Alleviation in Groundwater Aquifers

    Dissolved chemicals are transported through groundwater aquifers by a mixture of advection with the underlying fluid flow and dispersion within that fluid. The aquifers can be modelled using a lay...

    Amjad Ali, Winston L. Sweatman… in Progress in Industrial Mathematics at ECMI… (2014)

  9. No Access

    Chapter and Conference Paper

    Mathematics-in-Industry Study Group (MISG) Steel Projects from Australia and New Zealand

    Projects from the steel industry have made a valuable contribution to mathematics-in-industry study groups (MISG). In the eight-year period 2004–2011, there were eight such projects brought to the annual Austr...

    Winston L. Sweatman in The Impact of Applications on Mathematics (2014)

  10. No Access

    Chapter and Conference Paper

    Deformations Arising During Air-Knife Strip** in the Galvanisation of Steel

    During sheet steel production, the steel surface is usually coated with metal alloy for corrosion protection. This can be done by passing the steel through a bath of the molten metal coating, and controlling t...

    Graeme C. Hocking, Winston L. Sweatman… in Progress in Industrial Mathematics at ECMI… (2012)

  11. No Access

    Chapter and Conference Paper

    Heat Transfer During Annealing of Steel Coils

    Steel becomes brittle during the cold rolling process which is used to produce sheet metal. Heat treatment (annealing) is required to release stresses and reform the crystalline structure. The 2008 Mathematics...

    Winston L. Sweatman, Steven I. Barry… in Progress in Industrial Mathematics at ECMI… (2012)

  12. No Access

    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)

  13. No Access

    Chapter

    A Model for Spray Droplet Adhesion, Bounce or Shatter at a Crop Leaf Surface

    Improvements in crop spray methods can result in great environmental and cost benefits. By develo** a greater understanding of the physical processes involved, it should be possible to tailor spray formulati...

    Geoffry N. Mercer, Winston L. Sweatman… in Progress in Industrial Mathematics at ECMI… (2010)

  14. No Access

    Chapter

    Optimising for Wind Power Contributions in an Electricity Grid

    This paper is based on a Mathematics-in-Industry Study Group project from MISG 2007 in Wollongong. This project considered management issues for a national electric power grid that may arise as a result of usi...

    Winston L. Sweatman, Geoff Pritchard… in Progress in Industrial Mathematics at ECMI… (2010)

  15. No Access

    Article

    Tephra Fallout Models: The Effect of Different Source Shapes on Isomass Maps

    Numerous tephra dispersion and sedimentation models rely on some abstraction of the volcanic plume to simplify forecasts of tephra accumulation as a function of the distance from the volcano. Here we present ...

    Leng L. Lim, Winston L. Sweatman, Robert McKibbin… in Mathematical Geosciences (2008)

  16. No Access

    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)

  17. No Access

    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)

  18. No Access

    Article

    Dosages from instantaneous releases of dense gases in wind tunnels and into a neutrally stable atmosphere

    We study the doses generated by instantaneously released dense gas clouds. The dose is of practical importance since it is widely used as a measure of the harmful effect of an exposure. We take the doses from ...

    Winston L. Sweatman, P. C. Chatwin in Boundary-Layer Meteorology (1996)