view Abstract Citations (13) References Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A nonsingular set of orbit elements Cohen, C. J. ; Hubbard, E. C. Abstract A new transformation of the elliptic orbit elements to eliminate the singularities for circular or equatorial orbits is described. Formulas are developed relating the coordinates and the new elements, expressing the differentials of the coordinates in terms of differentials of the new elements, and giving the differential equations for the variation of the new elements. The developments have all been verified numerically in extensive machine tests. Also presented are a related set of elements due to R. H. Lyddane which are non- singular and canonical. Publication: The Astronomical Journal Pub Date: February 1962 DOI: 10.1086/108597 Bibcode: 1962AJ.....67...10C full text sources ADS |