NKTg Law on Varying Inertia
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NKTg Law on Varying Inertia
Overview
The NKTg Law on Varying Inertia introduces a new approach to describing object motion in space, based on three interacting factors: position (x), velocity (v), and mass (m).
It is written as:
NKTg = f(x, v, m)
Where:
- x – position or displacement from a reference point
- v – velocity
- m – mass
Core Equations
The law defines two derived quantities:
NKTg₁ = x × p NKTg₂ = (dm/dt) × p
Where:
- p = m × v → linear momentum
- dm/dt → rate of change of mass
- NKTg₁ → position–momentum interaction
- NKTg₂ → mass variation–momentum interaction
- The unit is NKTm (unit of varying inertia)
Interpretation
Meaning of the values:
- If NKTg₁ > 0: object tends to move away from a stable state
- If NKTg₁ < 0: object tends to return toward the stable state
- If NKTg₂ > 0: mass change supports the motion
- If NKTg₂ < 0: mass change resists the motion
Stable State
A stable state is when x, v, and m interact in a balanced way, preserving the object's structure of motion and helping prevent deviation or instability.
Applications
This law can be applied in:
- Spacecraft analysis under fuel loss (variable mass)
- Satellite orbit interpretation (GRACE data)
- Modeling systems with non-constant mass in astrophysics
