Lambert class

class pykep.lambert_problem(r0=[1, 0, 0], r1=[0, 1, 0], tof=pi / 2, mu=1., cw=False, max_revs=0)

Args:

r0 (1D array-like): Cartesian components of the first position vector [xs, ys, zs]. Defaults to [1,0,0].

r1 (1D array-like): Cartesian components of the second position vector [xf, yf, zf]. Defaults tot [0,1,0].

tof (float): time of flight. Defaults to \(\frac{\pi}{2}\).

mu (float): gravitational parameter. Defaults to 1.

cw (bool): True for retrograde motion (clockwise). Defaults to False.

max_revs (float): Maximum number of multiple revolutions to be computed. Defaults to 0.

Note

Units need to be consistent. The multirev Lambert’s problem will be solved upon construction and its solution stored in data members.

Examples:

>>> import pykep as pk
>>> import numpy as np
>>> r0 = [1,0,0]
>>> r1 = [0,1,0]
>>> tof = np.pi/2
>>> mu = 1.
>>> lp = pk.lambert_problem(r0, r1, tof, mu)
>>> lp.v0[0]
[-4.1028493158958256e-16, 1.0000000000000002, 0.0]

property Nmax

The maximum number of iterations allowed.

property iters

The number of iterations made.

property mu

The gravitational parameter of the attracting body.

property r0

The first point.

property r1

The second point.

property tof

The time of flight between the two points.

property v0

The velocity at the first point.

property v1

The velocity at the second point.

property x

The Battin variable x along the time of flight curves.