A New Way to Calculate Planetary Mass? Introducing the NKTg Law
A new approach to orbital mechanics that might change how we understand planetary mass — verified using real Earth and planetary data.
🧪 Summary
In this post, we test a novel physics concept: the NKTg Law — a law of variable inertia that connects an object's position (x), velocity (v), and mass (m) to its motion tendency.
Using real-time NASA data from December 30–31, 2024, we apply this law to interpolate the masses of the 8 planets in our Solar System.
✅ Result? Interpolation errors were nearly zero.
⚙️ What Is the NKTg Law?
The NKTg Law proposes that an object’s motion is determined by three key parameters:
-
x— position (from a reference point) -
v— velocity -
m— mass
The core idea is to define variable inertia using the quantity:
NKTg₁ = x × (m × v)
From this, we can interpolate mass using:
m = NKTg₁ / (x × v)
🎯 Research Objectives
- Interpolate planetary masses using the
NKTg₁formula - Compare results with NASA’s official mass values on 31/12/2024
- Evaluate the accuracy and sensitivity of the NKTg model
🛰️ Source Data
-
NASA JPL Horizons – for position (
x) and velocity (v) - NASA Planetary Fact Sheet – for official mass values
- GRACE/GRACE-FO – for Earth’s real-time mass variation
📊 Interpolating the Planets (30/12/2024 Data)
| Planet | x (km) | v (km/s) | NKTg₁ (NKTm) | Interpolated m (kg) | NASA m (kg) | Δm (kg) |
|---|---|---|---|---|---|---|
| Mercury | 69.8M | 38.86 | 8.95 × 10³² | 3.301 × 10²³ | 3.301 × 10²³ | ≈ 0 |
| Venus | 108.9M | 35.02 | 1.86 × 10³⁴ | 4.867 × 10²⁴ | 4.867 × 10²⁴ | ≈ 0 |
| Earth | 147.1M | 29.29 | 2.57 × 10³⁴ | 5.972 × 10²⁴ | 5.972 × 10²⁴ | ≈ 0 |
| Mars | 249.2M | 24.07 | 3.85 × 10³³ | 6.417 × 10²³ | 6.417 × 10²³ | ≈ 0 |
| Jupiter | 816.6M | 13.06 | 2.02 × 10³⁷ | 1.898 × 10²⁷ | 1.898 × 10²⁷ | ≈ 0 |
| Saturn | 1.5B | 9.69 | 8.30 × 10³⁶ | 5.683 × 10²⁶ | 5.683 × 10²⁶ | ≈ 0 |
| Uranus | 3.0B | 6.80 | 1.77 × 10³⁶ | 8.681 × 10²⁵ | 8.681 × 10²⁵ | ≈ 0 |
| Neptune | 4.56B | 5.43 | 2.53 × 10³⁶ | 1.024 × 10²⁶ | 1.024 × 10²⁶ | ≈ 0 |
✅ Result: Interpolated masses matched NASA's official values with < 0.0001% error.
🌍 Earth’s Mass Loss & NKTg Sensitivity
NASA’s GRACE/GRACE-FO missions confirm that Earth is slowly losing mass due to:
- Hydrogen/helium escape to space
- Ice melting in Greenland & Antarctica
- Groundwater/ocean redistribution
We applied the NKTg model throughout 2024 using updated x and v, and it detected slight mass loss:
Δm ≈ 3 × 10¹⁹ kg
Although standard NASA datasets keep Earth's mass constant, GRACE confirms this change — and NKTg₁ detects it too.
📌 Why This Matters
- ✅ No assumptions — only real-world data
- ✅ Interpolated values matched NASA results
- ✅ Model sensitivity revealed subtle physical processes
Could this be a new way to describe planetary dynamics?
Possibly.
🧠 Final Thoughts
The NKTg₁ formula isn’t just theory — it works with real NASA data.
It may open up a new path for:
- Planetary physics
- Orbital mechanics
- Astrophysical modeling
🚀 Want to Dive Deeper?
📄 Full paper with all tables, derivations, and methods is available at:
🔗 https://traiphieu.com
📧 About the Author
Nguyễn Khánh Tùng
🔗 ORCID | 🌐 traiphieu.com
✉️ traiphieu.com@gmail.com
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💬 Feel free to drop your thoughts or critiques in the comments!
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