Vis Viva Equation Calculator

Posted by Dinesh on

Online astrodynamics calculator to calculate mechanical energy which applies when the only force acting on an object using Vis Viva formula.

What is Vis Viva Equation?

In astrodynamics, the vis-viva equation, also referred to as orbital-energy-invariance law, is one of the equations that model the motion of orbiting bodies. It is the direct result of the principle of conservation of mechanical energy which applies when the only force acting on an object is its own weight.

Vis Viva Equation Calculation

Formula:

v 2 = G × M × ( 2 r - 1 a )

where,
G = Newtonian constant of gravitation (6.67384e-11 m3 kg-1 s-2),
M = mass of the central body,
r = distance between the two bodies,
a = semi-major axis,
v = relative speed of the two bodies