Design of formation and appropriate coordinate expression along general elliptic orbit using regularization


Funase R. *, Kawaguchi J. **

Institude of Space and Astronautical Science (ISAS), Japan Aerospace Exploration Agency (JAXA), Japan, Tokyo Denki University, Japan



This paper deals with how the formation flight target is expressed as trivial and fixed in some appropriate coordinates, instead of an orbital target. This fixed bin/slot property is essential for the formation maintenance control. A new coordinate transformation is introduced for the case of circular reference trajectory, and compared with conventional C-W coordinate, the advantage of the new coordinate transformation is shown in terms of control performance index and formation maintenance property. Then, the discussion is extended to the case of general elliptic reference orbit, where regularization and Levi-Civita non-linear coordinate transform is introduced as a formation design methodology. Pseudo-constant distance formation around elliptic orbit is designed as an example and the effectiveness of the proposed method is numerically verified.

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