Simulation of insect flight using vacuum equation https://sudonull.com/simulation-of-insect-flight-using-vacuum-equation
Modeling bumblebee and dragonfly maneuvers using asymmetric equation. Wavelet analysis of resonance with vacuum and black holes. Study phase trajectories and attractors for IT specialists.
PID controller: modeling P I D parts https://sudonull.com/pid-controller-modeling-p-i-d-parts
Breakdown of PID controller via FDTD simulation of heater and mechanics. Code in Mathematica, error elimination, coefficient tuning. Study principles for embedded systems.
Temperature field of a round burner: analytical solution https://sudonull.com/temperature-field-of-a-round-burner-analytical-solution
Calculate T(r, φ, z, t) for a thin burner of radius R with power P. Integration in cylindrical coordinates with Bessel function. For developers of heat conduction simulators.
Three-Body Problem: Equations and Periodic Orbits https://sudonull.com/three-body-problem-equations-and-periodic-orbits
Analysis of Mathematical Models of the Three-Body Problem: Full, Planar, CR3BP. Equations, Code, Initial Conditions for Simulations. For Developers and Astrophysicists — Model Orbits Yourself.
Detachment of body from hemisphere: exact formulas https://sudonull.com/detachment-of-body-from-hemisphere-exact-formulas
Solution to classical mechanics problem by different methods: from Newton to differential equations with friction. Formulas, generalizations for simulation developers. Study the calculation of detachment angle.