Orbis.Lambert (Orbis v0.9.1)

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Lambert problem solver (Battin's method).

Given two position vectors and time of flight, find the transfer orbit velocities. Algorithm 61, Vallado 2022, pp. 505-510.

Summary

Functions

Solve Lambert's problem using Battin's method.

Functions

solve(r1, r2, v1, dm, de, nrev, dtsec)

Solve Lambert's problem using Battin's method.

Parameters

  • r1, r2 — initial and final ECI position vectors in km
  • v1 — initial velocity in km/s (needed for 180° transfers)
  • dm — direction of motion: 0 = short way, 1 = long way
  • de — direction of energy: 0 = low, 1 = high
  • nrev — number of revolutions (0, 1, 2, ...)
  • dtsec — time of flight in seconds

Returns

{v1t, v2t} — transfer velocity vectors at r1 and r2 in km/s.