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Binary Star Total Mass Calculator

Find the total mass of a binary star system from its orbit size and period.

Inputs

Results

Total system mass1solar masses
Total system mass1.9885 × 10³⁰kg

Chart

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How to use the binary star total mass calculator

Find the total mass of a binary star system from its orbit size and period. Enter orbital semi-major axis, orbital period in the fields above; the total system mass are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “binary star mass”, “Kepler mass of two stars”, “total mass from orbit”, “calculate binary star total mass”, “find total system mass”.

Formula

Total system mass (solar masses) = a^3 / P^2
Total system mass (kg) = [Total system mass] × MSUN

Variables

  • a — Orbital semi-major axis (AU)
  • P — Orbital period (years)

Worked example

With orbital semi-major axis = 1 AU, orbital period = 1 years, the calculator gives total system mass ≈ 1 solar masses; total system mass ≈ 1.9885 × 10³⁰ kg.

Frequently asked questions

What is the binary star total mass calculator used for?

Find the total mass of a binary star system from its orbit size and period. It helps with questions such as “binary star mass”, “Kepler mass of two stars”, “total mass from orbit”.

What is the formula for the binary star total mass calculation?

Total system mass (solar masses) = a^3 / P^2. Total system mass (kg) = [Total system mass] × MSUN. Here a is orbital semi-major axis (AU), P is orbital period (years).

What inputs do I need for the binary star total mass calculator?

You need orbital semi-major axis in AU, orbital period in years. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the binary star total mass calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the binary star total mass result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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