Specific Mechanical Energy (2)

Not Reviewed
Equation / Last modified by KurtHeckman on 2019/01/08 22:58
Rating
ID
MichaelBartmess.Specific Mechanical Energy (2)
UUID
60cb3caf-e30b-11e3-b7aa-bc764e2038f2

The Mechanical Energy per Unit Mass of a Satellite calculator computes the specific mechanical energy, ε, the mechanical energy per unit mass, as a constant of motion for a satellite orbit.  

INSTRUCTIONS: Choose units and enter the following:

Mechanical Energy per Unit Mass(ε):  The result is in units of Grays, where  1 Gy = 1 Joule/kilogram = 1 meter2 / sec2.

The Math / Science

This equation computes the specific mechanical energy as the sum of the kinetic energy per unit mass and the potential energy per unit mass.  The formula for the mechanical energy per unit mass of a satellite is:

    `ε = (V^2/2) - (μ/r)`

where:

SpecificMechanicalEnergy2-illustration.png