Vis Viva Orbital Speed
Calculator

Inputs

Instantaneous orbital speed (m/s)
29,788.512236

Results

Instantaneous orbital speed (m/s)
29,788.512236
Instantaneous orbital speed (km/s)
29.788512

Astronomy results

Instantaneous orbital speed (m/s)29,788.512236
Instantaneous orbital speed (km/s)29.788512

formula-map diagram

Instantaneous orbital speed (m/s)
29,788.512236
Instantaneous orbital speed (km/s)
29.788512

Astronomical relationship

Formula

v = √(G M (2/r − 1/a))

= 29788.512236598

Note

This result is a simplified model: it applies the displayed textbook formula to the values you entered, assuming ideal spherical bodies, circular orbits, blackbody radiation and perfect optics, and ignoring atmospheric seeing, relativistic corrections beyond those stated, cosmological models and measurement uncertainty. Use published ephemerides and catalogue data for real observations.

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