poliastro.core.thrust.change_a_inc

Summary

Functions

extra_quantities(k, a_0, a_f, inc_0, inc_f, f)

Extra quantities given by the Edelbaum (a, i) model.

beta(t, V_0, f, beta_0)

Compute yaw angle (β) as a function of time and the problem parameters.

beta_0(V_0, V_f, inc_0, inc_f)

Compute initial yaw angle (β) as a function of the problem parameters.

compute_parameters(k, a_0, a_f, inc_0, inc_f)

Compute parameters of the model.

delta_V(V_0, V_f, beta_0, inc_0, inc_f)

Compute required increment of velocity.

change_a_inc(k, a_0, a_f, inc_0, inc_f, f)

Change semimajor axis and inclination.

Contents

poliastro.core.thrust.change_a_inc.extra_quantities(k, a_0, a_f, inc_0, inc_f, f)

Extra quantities given by the Edelbaum (a, i) model.

poliastro.core.thrust.change_a_inc.beta(t, V_0, f, beta_0)

Compute yaw angle (β) as a function of time and the problem parameters.

poliastro.core.thrust.change_a_inc.beta_0(V_0, V_f, inc_0, inc_f)

Compute initial yaw angle (β) as a function of the problem parameters.

poliastro.core.thrust.change_a_inc.compute_parameters(k, a_0, a_f, inc_0, inc_f)

Compute parameters of the model.

poliastro.core.thrust.change_a_inc.delta_V(V_0, V_f, beta_0, inc_0, inc_f)

Compute required increment of velocity.

poliastro.core.thrust.change_a_inc.change_a_inc(k, a_0, a_f, inc_0, inc_f, f)
Change semimajor axis and inclination.

Guidance law from the Edelbaum/Kéchichian theory, optimal transfer between circular inclined orbits (a_0, i_0) –> (a_f, i_f), ecc = 0.

Parameters
  • k (float) – Gravitational parameter.

  • a_0 (float) – Initial semimajor axis (km).

  • a_f (float) – Final semimajor axis (km).

  • inc_0 (float) – Initial inclination (rad).

  • inc_f (float) – Final inclination (rad).

  • f (float) – Magnitude of constant acceleration (km / s**2).

Returns

  • a_d (function)

  • delta_V (numpy.array)

  • t_f (float)

Notes

Edelbaum theory, reformulated by Kéchichian.

References

  • Edelbaum, T. N. “Propulsion Requirements for Controllable Satellites”, 1961.

  • Kéchichian, J. A. “Reformulation of Edelbaum’s Low-Thrust Transfer Problem Using Optimal Control Theory”, 1997.