Using a Curvilinear Coordinate System for Satellite Relative Motion

dc.contributor.authorMidas, Alex Matthewen
dc.contributor.committeechairSchroeder, Kevin Kenten
dc.contributor.committeememberFitzgerald, Riley McCreaen
dc.contributor.committeememberBlack, Jonathan T.en
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2024-02-24T09:00:37Zen
dc.date.available2024-02-24T09:00:37Zen
dc.date.issued2024-02-23en
dc.description.abstractThe number of dynamics needed to model the motion between a Chief and Deputy satellites has grown greatly since the introduction of the Hill, Clohessy-Wilshire (HCW) equations of motion were introduced. The models have grown to include various things like perturbations, specifically drag, J2, and solar radiation pressure. Dynamics models have also been developed that use True Anomaly as the independent variable instead of time. A lot of work has been put forth to also include cases where the Chief is in an eccentric orbit. While these models have increased the fidelity of relative dynamics these models become very complicated to implement. That is why the HCW equations remain extremely popular after all these developments. However, their simplicity causes issues when there is In-Track separation between the Chief and Deputy satellites. The error in the dynamics increases as this separation increases which leads to a typical constraint that the separation between the Chief and Deputy needs to be much smaller than the radius of the Chief's orbit. That is where this works starts, by examining into ways to increase the accuracy in the HCW equations as the In-Track separation between the Chief and Deputy grows. In which, this will be done by using a curvilinear coordinate system. Furthermore, a technique of using a Virtual Chief satellite will by employed to allow for the HCW equations to be valid for cases where the Chief is in an eccentric orbit.en
dc.description.abstractgeneralThere are many different models that are used to model the relative motion between two satellites. These models vary from low to high fidelity in the different types of perturbation and ranges that they can model. These higher fidelity models because very complex to implement and while useful the low fidelity models are still popular, specifically the HCW equations. This thesis works on making the HCW equations valid for a larger range of cases.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:39411en
dc.identifier.urihttps://hdl.handle.net/10919/118136en
dc.language.isoenen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectRelative Motionen
dc.subjectRPOen
dc.subjectCurvilinearen
dc.subjectVirtual Chiefen
dc.subjectGhost Chiefen
dc.titleUsing a Curvilinear Coordinate System for Satellite Relative Motionen
dc.typeThesisen
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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