💿🐜 Antkeeper source code
https://antkeeper.com
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
95 lines
2.4 KiB
95 lines
2.4 KiB
/*
|
|
* 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_PHYSICS_ORBIT_ELEMENTS_HPP
|
|
#define ANTKEEPER_PHYSICS_ORBIT_ELEMENTS_HPP
|
|
|
|
#include "utility/fundamental-types.hpp"
|
|
#include "physics/orbit/state.hpp"
|
|
#include <cmath>
|
|
|
|
namespace physics {
|
|
namespace orbit {
|
|
|
|
/**
|
|
* Set of six Keplerian elements required to uniquely identify an orbit.
|
|
*
|
|
* @tparam T Scalar type.
|
|
*/
|
|
template <class T>
|
|
struct elements
|
|
{
|
|
/// Scalar type.
|
|
typedef T scalar_type;
|
|
|
|
/// Eccentricity (e).
|
|
scalar_type e;
|
|
|
|
/// Semimajor axis (a).
|
|
scalar_type a;
|
|
|
|
/// Inclination (i), in radians.
|
|
scalar_type i;
|
|
|
|
/// Right ascension of the ascending node (OMEGA), in radians.
|
|
scalar_type raan;
|
|
|
|
/// Argument of periapsis (omega), in radians.
|
|
scalar_type w;
|
|
|
|
/// True anomaly (nu) at epoch, in radians.
|
|
scalar_type ta;
|
|
};
|
|
|
|
/**
|
|
* Derives the longitude of the periapsis (pomega) of an orbit, given the argument of periapsis (omega) and longitude of the ascending node (OMEGA).
|
|
*
|
|
* @param w Argument of periapsis (omega), in radians.
|
|
* @param raan Right ascension of the ascending node (OMEGA), in radians.
|
|
* @return Longitude of the periapsis (pomega), in radians.
|
|
*/
|
|
template <class T>
|
|
T derive_longitude_periapsis(T w, T raan);
|
|
|
|
/**
|
|
* Derives the semiminor axis (b) of an orbit, given the semimajor axis (a) and eccentricity (e).
|
|
*
|
|
* @param a Semimajor axis (a).
|
|
* @param e Eccentricity (e).
|
|
* @return Semiminor axis (b).
|
|
*/
|
|
template <class T>
|
|
T derive_semiminor_axis(T a, T e);
|
|
|
|
template <class T>
|
|
T derive_longitude_periapsis(T w, T raan)
|
|
{
|
|
return w + raan;
|
|
}
|
|
|
|
template <class T>
|
|
T derive_semiminor_axis(T a, T e)
|
|
{
|
|
return a * std::sqrt(T(1) - e * e);
|
|
}
|
|
|
|
} // namespace orbit
|
|
} // namespace physics
|
|
|
|
#endif // ANTKEEPER_PHYSICS_ORBIT_ELEMENTS_HPP
|