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We built models for low bulge mass spiral galaxies (late type as defined bythe Hubble classification) using a 3-D self-gravitating model for spiral arms,and analyzed the orbital dynamics as a function of pitch angle, going from10$\deg$ to 60$\deg$. Testing undirectly orbital self-consistency, we searchfor the main periodic orbits and studied the density response. For pitch anglesup to approximately $\sim 20\deg$, the response supports closely the potentialpermitting readily the presence of long lasting spiral structures. The densityresponse tends to "avoid" larger pitch angles in the potential, by keepingsmaller pitch angles in the corresponding response. Spiral arms with pitchangles larger than $\sim 20\deg$, would not be long-lasting structures butrather transient. On the other hand, from an extensive orbital study in phasespace, we also find that for late type galaxies with pitch angles larger than$\sim 50\deg$, chaos becomes pervasive destroying the ordered phase spacesurrounding the main stable periodic and quasi-periodic orbits and evendestroying them. This result is in good agreement with observations of latetype galaxies, where the maximum observed pitch angle is $\sim 50\deg$.

Pitch Angle Restrictions in Late Type Spiral Galaxies Based on Chaotic and Ordered Orbital Behavior