Cluster Orbits With Perturbations of Keplerian Elements Equations

Abstract

The public reporting burden for this collection of information is estimated to average 1 hour per response, including t gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments r>., . ,. . " • . jo -in-,n. r,ioa% information including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information . 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law. no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid 0MB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE (DD-MM-YYYY)2. REPORT TYPE Final TITLE AND SUBTITLE Cluster Orbits With Perturbations of Keplerian Elements Equations AUTHOR(S)Craig A. McLaughlin PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)The University of North Dakota 4149 Campus Road Grand Forks, ND 58202-9008 This effort was performed jointly with Chris Sabol of AFRL/DEBI. The Cluster Orbit with Perturbations of Keplerian Elements (COWPOKE) Equations were developed. The initial COWPOKE equations described the relative motion of space objects in noncircular orbits using Keplerian elements. Modifications to the equations were made and the equations were used in a relative orbit determination scheme to show the benefits of relative orbit determination for satellites collocated in a single geosynchronous orbit slot. Finally, initial work was done to add Earth oblateness and drag perturbations to the COWPOKE equations. Express the perturbed equations of relative motion for space objects in non-circular orbits using Kepierian elements and low order expansions SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)Air SummaryThis effort was performed jointly with Chris Sabol of AFRL/DEBI. The Cluster Orbit with Perturbations of Kepierian Elements (COWPOKE) Equations were developed. The initial COWPOKE equations described the relative motion of space objects in non-circular orbits using Kepierian elements. Modifications to the equations were made and the equations were used in a relative orbit determination scheme to show the benefits of relative orbit determination for satellites collocated in a single geosynchronous orbit slot. Finally, initial work was done to add Earth oblateness and drag perturbations to the COWPOKE equations Publications:Catlin, K., "Satellite Formation Flight Using the Perturbed COWPOKE Equations,"/AMA Region V Student Conference, Minneapolis, MN, 28-30 April, 2004 Hill, K., C. Meet the Cluster Orbits With Perturbations Of Keplerian Elements (COWPOKE) EquationsChris Sabol', Craig A. McLaughlin^, and K. Kim Luu* 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 paper provides the initial derivation of one such eff...