Implement all methods from Escobal 1965

[jorgepiloto]

💻 Solver request

A total of five methods are presented in the book by Escobal (see references section) for solving the two-body BVP. Among these methods it is possible to find:

• gauss1809, based on the method the genius published in his "Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium". It makes use of an smart change of variable related to the orbit parameter 'p'.
• lascody1958, using true anomaly as the free-parameter.
• herrick1959, using orbit's parameter as the iteration variable.
• escobal1964, using orbit's eccentricity as the free-parameter.
• douglas1965, using the universal formulation for the computation of the solution.

Therefore, let us

📝 References

@article{escobal1970methods,
  title={Methods of orbit determination.},
  author={Escobal, Pedro},
  journal={Methods of orbit determination},
  year={1970}
}

[jorgepiloto]

After a deep reading, I just found that the solvers in Escobal only cover elliptical orbits. The one working under the universal formulation does guarantee the convergence for transfer angles above 90 degrees...