poliastro2.math.iod

Description

This subpackage provides methods on initial orbit determination (IOD). It offers tools for calculating the initial orbit of a celestial body based on observational data.

Modules

  • base_iod: Base functions for initial orbit determination.

  • izzo: IOD routines based on Izzo’s method.

  • vallado: IOD routines based on Vallado’s approach.

Notes

The default method solves the Lambert problem using the Izzo algorithm.

poliastro2.math.iod.lambert(k, r0, r, tof, M=0, prograde=True, lowpath=True, numiter=35, rtol=1e-08)

Solves the Lambert problem using the Izzo algorithm.

Added in version 0.5.0.

Parameters:

  • k (Quantity) – Gravitational constant of main attractor (km^3 / s^2).

  • r0 (Quantity) – Initial position (km).

  • r (Quantity) – Final position (km).

  • tof (Quantity) – Time of flight (s).

  • M (int, optional) – Number of full revolutions, default to 0.

  • prograde (boolean) – Controls the desired inclination of the transfer orbit.

  • lowpath (boolean) – If True or False, gets the transfer orbit whose vacant focus is below or above the chord line, respectively.

  • numiter (int, optional) – Maximum number of iterations, default to 35.

  • rtol (float, optional) – Relative tolerance of the algorithm, default to 1e-8.

Returns:

v0, v – Pair of velocity solutions.

Return type:

tuple

Modules

base_iod

izzo

Izzo's algorithm for Lambert's problem.

vallado

Initial orbit determination.