Solving Kepler’s equation via Smale’s $$\alpha $$ α -theory-Reference-Cited by-同舟云学术

Solving Kepler’s equation via Smale’s $$\alpha $$ α -theory

Published:2014-04-13 Issue:1 Volume:119 Page:27-44
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celest Mech Dyn Astr

Author:

Avendano Martín,Martín-Molina Verónica,Ortigas-Galindo Jorge

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-014-9545-8.pdf

Reference16 articles.

1. Battin, R.H.: An Introduction to the Mathematics and Methods of Astrodynamics. American Institute of Aeronautics and Astronautics, New York (1987)

2. Calvo, M., Elipe, A., Montijano, J.I., Rández, L.: Optimal starters for solving the elliptic Kepler’s equation. Celest. Mech. Dyn. Astron. 115, 143–160 (2013)

3. Colwell, P.: Solving Kepler’s Equation Over Three Centuries. Willmann-Bell, Richmond, VA (1993)

4. Danby, J.M.A.: The solution of Kepler’s equation III. Celest. Mech. 40, 303–312 (1987)

5. Danby, J.M.A., Burkardt, T.M.: The solution of Kepler’s equation I. Celest. Mech. 31, 95–107 (1983)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method;Celestial Mechanics and Dynamical Astronomy;2019-04

2. An analysis of the convergence of Newton iterations for solving elliptic Kepler’s equation;Celestial Mechanics and Dynamical Astronomy;2017-09-21

3. Convergence of starters for solving Kepler’s equation via Smale’s $$\alpha $$ α -test;Celestial Mechanics and Dynamical Astronomy;2016-07-14

4. Approximate solutions of the hyperbolic Kepler equation;Celestial Mechanics and Dynamical Astronomy;2015-08-19

5. A hard sphere model for direct three-body recombination of heavy ions;Russian Journal of Physical Chemistry B;2014-11