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Current revision as of 09:58, 7 October 2025

Contents 1 NKTg Law on Varying Inertia 1.1 Overview 1.2 Core Equations 1.3 Interpretation 1.4 Stable State 1.5 Applications 1.6 See also

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

See also

• NKTg Law Experiments
• Interpolation Methods