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Vis-viva Calculator

Compute orbital speed v = √[μ(2/r − 1/a)].

Input Data

Input Grav. parameter μ.
m³/s²
Input Current radius r.
m
Input Semi-major axis a.
m

Results

7,546.05m/s
v = √[μ(2/r − 1/a)] = 7546.05 m/s

At a glance:Vis-viva Calculator: enter parameters to compute results; complements related calculators.

Formula

v² = μ (2/r − 1/a)

circular orbit r=a gives v=√(μ/r)

How to Use

  1. Enter gravitational parameter μ.
  2. Enter current radius r and semi-major axis a.
  3. Get orbital speed v.

Case Studies

Circular r=a=7000 km

v = √(3.986e14/7e6) ≈ 7546 m/s.

FAQ

What is μ?

μ = GM; Earth ≈ 3.986×10¹⁴ m³/s².

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

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