physics.orbital_transfer_work

Attributes

M

Functions

orbital_transfer_work(→ str)

Calculates the work required to move an object from one orbit to another in a

Module Contents

physics.orbital_transfer_work.orbital_transfer_work(mass_central: float, mass_object: float, r_initial: float, r_final: float) → str

Calculates the work required to move an object from one orbit to another in a gravitational field based on the change in total mechanical energy.

The formula used is:

W = (G * M * m / 2) * (1/r_initial - 1/r_final)

where:

W = work done (Joules) G = gravitational constant (6.67430 * 10^-11 m^3 kg^-1 s^-2) M = mass of the central body (kg) m = mass of the orbiting object (kg) r_initial = initial orbit radius (m) r_final = final orbit radius (m)

Args:

mass_central (float): Mass of the central body (kg) mass_object (float): Mass of the object being moved (kg) r_initial (float): Initial orbital radius (m) r_final (float): Final orbital radius (m)

Returns:

str: Work done in Joules as a string in scientific notation (3 decimals)

Examples:

>>> orbital_transfer_work(5.972e24, 1000, 6.371e6, 7e6)
'2.811e+09'
>>> orbital_transfer_work(5.972e24, 500, 7e6, 6.371e6)
'-1.405e+09'
>>> orbital_transfer_work(1.989e30, 1000, 1.5e11, 2.28e11)
'1.514e+11'

physics.orbital_transfer_work.M