🛠️ Step 1: Understand the Formula

The core formula is:

m = NKTg₁ / (x × v)
where NKTg₁ = x × m × v
(Note: p = m × v and x is heliocentric distance in km)

You can rearrange the formula to solve for m if NKTg₁, x, and v are known.

🌐 Step 2: Get Real Planetary Data

Go to NASA JPL Horizons and extract the following for each planet:

• Heliocentric distance x in kilometers (use vector magnitude)

• Orbital velocity v in km/s

• Official mass m (optional, for comparison only)

Date used in this experiment: 30–31 December 2024
You can choose your own date, but use the same timestamp for all values.

🧮 Step 3: Calculate NKTg₁

Use the known mass m, position x, and velocity v to compute:

NKTg₁ = x × m × v

Store this value — it becomes your interpolation key.

🧪 Step 4: Interpolate Mass

Once you have x, v, and NKTg₁, use the interpolation formula:

m = NKTg₁ / (x × v)

You should get back the original mass with extremely high accuracy (Δm ≈ 0).
If not, check your unit consistency (use SI base units: kg, km, s).

📐 Step 5: Verify with NASA Data

Compare your interpolated mass with official values from:

• NASA Planetary Fact Sheet

• NASA JPL Solar System Dynamics

Typical expected error: < 0.0001>#/strong###

📁 Files & Tools

(Add links in Files tab once available)

• ✅ Example spreadsheet (

  NKTg_Interpolation.xlsx

  )

• Experimental Verification of the NKT Law Interpolating the Masses of 8 Planets Using NASA Data as of 30–31122024 SHA256 a08c424e2259803a2b10d8d51d61ee4b9073f2b9a62111e4858abf0839229320.pdf