Abstract
The variational equations along an orbit in a conservative dynamic system with three degrees of freedom may be separated into (i) a linear system of order four involving only the normal and binormal displacements and (ii) a quadrature to produce the tangential displacement.
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Deprit, A. Intrinsic variational equations in three dimensions. Celestial Mechanics 24, 185–193 (1981). https://doi.org/10.1007/BF01229196
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DOI: https://doi.org/10.1007/BF01229196