💿🐜 Antkeeper source code https://antkeeper.com
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/*
* Copyright (C) 2021 Christopher J. Howard
*
* This file is part of Antkeeper source code.
*
* Antkeeper source code is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Antkeeper source code is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ANTKEEPER_ASTRO_ORBIT_HPP
#define ANTKEEPER_ASTRO_ORBIT_HPP
#include "utility/fundamental-types.hpp"
namespace astro
{
/**
* Contains six orbital elements which describe a Keplerian orbit.
*/
struct orbital_elements
{
double ec; ///< Eccentricity, e
double a; ///< Semi-major axis, a
double i; ///< Inclination, i (radians)
double om; ///< Longitude of the ascending node, OMEGA (radians)
double w; ///< Argument of periapsis, w (radians)
double ma; ///< Mean anomaly, M (radians)
};
/**
* Orbital state vectors.
*/
struct orbital_state
{
double3 r; ///< Cartesian position, r.
double3 v; ///< Cartesian velocity, v.
};
/**
* Iteratively solves Kepler's equation for eccentric anomaly, E.
*
* @param ec Eccentricity, e.
* @param ma Mean anomaly, M (radians).
* @param tolerance Tolerance of solution.
* @param iterations Maximum number of iterations.
* @return Eccentric anomaly.
*/
double solve_kepler(double ec, double ma, double tolerance, std::size_t iterations);
/**
* Calculates the ecliptic rectangular orbital position from Keplerian orbital elements.
*
* @note Only works for elliptical orbits.
*
* @param elements Orbital elements.
* @param ke_tolerance Kepler's equation tolerance.
* @param ke_iterations Kepler's equation iterations.
* @return Orbital state.
*/
double3 orbital_elements_to_ecliptic(const orbital_elements& elements, double ke_tolerance, std::size_t ke_iterations);
} // namespace astro
#endif // ANTKEEPER_ASTRO_ORBIT_HPP