Module: Astronoby::Util::Astrodynamics
- Defined in:
- lib/astronoby/util/astrodynamics.rb
Class Method Summary collapse
-
.eccentric_anomaly_newton_raphson(mean_anomaly, orbital_eccentricity, precision, maximum_iteration_count, current_iteration = 0, solution_on_previous_interation = nil) ⇒ Object
Source: Title: Celestial Calculations Author: J.
Class Method Details
.eccentric_anomaly_newton_raphson(mean_anomaly, orbital_eccentricity, precision, maximum_iteration_count, current_iteration = 0, solution_on_previous_interation = nil) ⇒ Object
Source:
Title: Celestial Calculations
Author: J. L. Lawrence
Edition: MIT Press
Chapter: 4 - Orbits and Coordinate Systems
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# File 'lib/astronoby/util/astrodynamics.rb', line 12 def eccentric_anomaly_newton_raphson( mean_anomaly, orbital_eccentricity, precision, maximum_iteration_count, current_iteration = 0, solution_on_previous_interation = nil ) previous_solution = solution_on_previous_interation&.radians solution = if previous_solution.nil? if orbital_eccentricity <= 0.75 mean_anomaly.radians else Math::PI end else previous_solution - ( ( previous_solution - orbital_eccentricity * Math.sin(previous_solution) - mean_anomaly.radians ) / ( 1 - orbital_eccentricity * Math.cos(previous_solution) ) ) end if current_iteration >= maximum_iteration_count || ( previous_solution && (solution - previous_solution).abs <= precision ) return Angle.from_radians(solution) end eccentric_anomaly_newton_raphson( mean_anomaly, orbital_eccentricity, precision, maximum_iteration_count, current_iteration + 1, Angle.from_radians(solution) ) end |