= Solution
\b[One integral can occur in an autonomous system with a fully chaotic region and no additional continuous orbit constraints.] The <specific orbital energy> is conserved in a time-independent <gravitational potential>. If a <chaotic stellar orbit> is dense in a connected region of its energy hypersurface, every continuous <integral of motion> is constant on that region. Thus it cannot supply a new independent constraint there, and energy is the only independent <isolating integral>. A generic nonaxisymmetric potential can contain such regions; not every orbit in such a potential is necessarily chaotic.
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