Calculation record
Tie the local orbit metric to the same positive geometric energy.
This checks a necessary frequency-separation condition for the local
moving-profile approximation. It does not exclude exact rapid spatial
solutions or supply the omitted complementary dynamics.
Research context
- Moving support, nearby frequency zeros and the simplex branch
A complex shape direction produces a nearby zero of the complete separated carrier; a positive local dynamical completion has stable periodic motion but loses the simplex index unless an additional selection law is supplied.
Interpret numerical checks within the assumptions and limitations documented in these notes.