We introduce OrBIT-KDF, an experimental key derivation function that composes two clas-sical chaotic systems—the Chirikov standard map on the two-dimensional torus and a quadraticJulia iteration on the complex plane—with a modern cryptographic hash.The construction takesa username and password, interprets the username as a seed for the Chirikov map, uses theresulting orbit to define a Julia parameter, and interprets the password as an initial condition forthe Julia system.The coupled Chirikov–Julia trajectory is sampled as a finite sequence of pointsin [0, 1)3, encoded as IEEE-754 64-bit floats, concatenated into a byte string, and compressedby SHA-512 to a 512-bit key, as specified in the public prototype repository.[Haa26]We give acomplete mathematical specification of OrBIT-KDF, analyze the dynamical systems used (orbits,attractors, and sensitivity), discuss security considerations, and report empirical measurementsof output distribution, avalanche behavior, and collision search over restricted input spaces.Ourconclusion is that OrBIT-KDF behaves like a SHA-512-based password KDF augmented with ahighly structured chaotic pre-processing layer, suitable as a chaos-cryptography laboratory but notas a replacement for standard, memory-hard KDFs in high-assurance applications.[oST12, Nor25]