The Local Invariants under Rotations about an Axis and their Applications

Details The Local Invariants under Rotations about an Axis and their Applications The Local Invariants under Rotations about an Axis and their Applications

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...2..382k&link_type=abstract

Celestial Mechanics, Volume 2, Issue 3, pp.382-388

Physics

Scientific paper

The three possible scalar products formed from the position-speed state vector lead to Stumpff's local invariants. The assumption of a distinguished axis (001) gives rise to the ‘axial’ local invariantsz andż under the rotations about this axis.-If a satellite moves in the field of a rotationally symmetric central body, then there will be an appropriate set of invariants for which a regular, non-linear system of differential equations holds. It can be used to derive recurrence relations for time series expansions and special perturbation methods, which are characterised by the occurrence of the scalar products of the perturbational acceleration with the position and speed vectors and (001).

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