Hi everyone,
I’d like to share a new concept I’m developing called the NKTg Law — a compact yet powerful framework for analyzing motion dynamics when mass varies over time.
Core Idea
NKTg Law defines how an object’s movement tendency depends on three fundamental variables:
- x: position
- v: velocity
- m: mass (possibly varying)
Key Quantities
- NKTg₁ = x × p
- NKTg₂ = (dm/dt) × p
where
p = m × v // momentum
dm/dt = rate of change of mass
Interpretation Guide
- NKTg₁ > 0 → tendency away from equilibrium
- NKTg₁ < 0 → tendency toward equilibrium
- NKTg₂ > 0 → mass variation supports motion
- NKTg₂ < 0 → mass variation resists motion
Motivation & Applications
This model helps explain dynamic behavior in systems where mass changes over time—such as rockets burning fuel, objects accreting or shedding mass, or even biological systems. By analyzing NKTg₁ and NKTg₂, we can gain insight into stability and control of such systems.
Ask to the Community
- Would anyone be interested in collaborating on a Scala simulation?
- I’m thinking of building a small library (or using Akka actors / ScalaSTM) to simulate trajectories and plot NKTg₁, NKTg₂ vs. time.
- Suggestions on Scala modeling tools (e.g., Breeze for numerics, ScalaFX for plotting, or integration with JFreeChart / Plotly via Scala wrappers) would be highly welcome.