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The Cluster Orbits With Perturbations of Keplerian Elements (COWPOKE) Equations

Chris Sabol, Craig A. McLaughlin, Kim Luu

Open publisher page 15 citations

Abstract

Recent developments have indicated that it is possible to express the relative equations of motion for space objects in non-circular orbits using mean Keplerian elements and low order expansions. This report provides the initial derivation of one such effort known as the Cluster Orbits With Perturbations Of Keplerian Elements (COWPOKE) equations. Given mean Keplerian elements and element differences, the COWPOKE equations describe spherical radial, cross-track, and along-track separations of the satellites as an explicit function of time. The framework of the equations allows for very high eccentricity reference orbits and for the inclusion of dynamic perturbations. Test cases using two-body dynamics show the utility of this approach.

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What this paper is about

Recent developments have indicated that it is possible to express the relative equations of motion for space objects in non-circular orbits using mean Keplerian elements and low order expansions. This report provides the initial derivation of one such effort known as the Cluster Orbits With Perturbations Of Keplerian Elements (COWPOKE) equations. Given mean Keplerian elements and element differences, the COWPOKE equations describe spherical radial, cross-track, and along-track separations of the satellites as an explicit function of time. The framework of the equations allows for very high eccentricity reference orbits and for the inclusion of dynamic perturbations. Test cases using two-body dynamics show the utility of this approach.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Recent developments have indicated that it is possible to express the relative equations of motion for space objects in non-circular orbits using mean Keplerian elements and low order expansions. This report provides the initial derivation of one such effort known as the Cluster Orbits With Perturbations Of Keplerian Elements (COWPOKE) equations. Given mean Keplerian elements and element differences, the COWPOKE equations describe spherical radial, cross-track, and along-track separations of the satellites as an explicit function of time. The framework of the equations allows for very high eccentricity reference orbits and for the inclusion of dynamic perturbations. Test cases using two-body dynamics show the utility of this approach.

Key concepts: Eccentricity (behavior), Equations of motion, Cluster (spacecraft), Physics, Classical mechanics, Function (biology), Motion (physics), Space (punctuation)

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