public Polar2d(Vector2d point)
{
Polar2d polar = CartesianToPolar(point);
angle = polar.angle;
radius = polar.radius;
}
//--------------Static Functions----------------//
/// <summary>
/// the angle difference from angle1 to angle2 (in radians)
/// </summary>
/// <param name="angle1"></param>
/// <param name="angle2"></param>
/// <returns></returns>
public static double Angle(double angle1, double angle2)
{
Polar2d angle1Pol = new Polar2d(1, angle1);
Polar2d angle2Pol = new Polar2d(1, angle2);
return(Vector2d.Angle(angle1Pol.cartesian, angle2Pol.cartesian) * Mathd.Deg2Rad);
}
private Vector3d Position(double time)
{
if (orbit.sma == 0)
{
return(Vector3d.zero);
}
double parentMass;
if (solarIndex.Count == 2)
{
parentMass = GameManager.instance.data.stars[solarIndex[0]].solar.mass;
}
else if (solarIndex.Count == 3)
{
parentMass = GameManager.instance.data.stars[solarIndex[0]].solar.satelites[solarIndex[1]].mass;
}
else
{
throw new System.Exception("parentMass not found.");
}
var ena = ENA(time, parentMass);
var pos = new Vector3d(orbit.sma * (Mathd.Cos(ena) - orbit.ecc), orbit.sma * Mathd.Sqrt(1 - (orbit.ecc * orbit.ecc)) * Mathd.Sin(ena));
var pol = new Polar2d(pos);
pol.angle += orbit.lpe;
var pos2 = pol.cartesian;
return(pos2);
}
/// <summary>
/// Converts Cartesian coords to polar coords with angle in radians
/// </summary>
/// <param name="point">Cartesian coordinate</param>
/// <returns></returns>
public static Polar2d CartesianToPolar(Vector2d point)
{
Polar2d polar;
double angle = Mathd.Atan(point.y / point.x);
if (point.x < 0)
{
angle += Mathd.PI;
}
else if (point.y < 0)
{
angle += Mathd.PI * 2;
}
polar = new Polar2d(point.magnitude, angle);
return(polar);
}
/// <summary>
/// Creates x and y variable from polar coords
/// </summary>
/// <param name="polar">Polar coords</param>
/// <returns></returns>
public static Vector2d PolarToCartesian(Polar2d polar)
{
return(new Vector2d(polar.radius * Mathd.Cos(polar.angle), polar.radius * Mathd.Sin(polar.angle)));
}
