public MainWindow()
{
InitializeComponent();
PointMass[] pointMasses = new PointMass[] {
new PointMass(3, new Vector(2, 3)),
new PointMass(1, new Vector(6, 3))
};
double[] radii = new double[] { 0.6, 0.2 };
for (int i = 0; i < pointMasses.Length; i++)
{
this.AddCircle(pointMasses[i], radii[i] * 100);
}
double ds = 0.1;
this.Chart.AddLinePlot(Assignment8.EquipotentialLine(pointMasses, new Vector(6.9, 3), ds).Select(v => new Point(v.X, v.Y)));
for (int i = 1; i <= 6; i++)
{
double angle = 0.5 + i;
Vector position = pointMasses[1].Position + new Vector(Math.Cos(angle), Math.Sin(angle)) * radii[1];
this.Chart.AddLinePlot(
Assignment8.FieldLine(pointMasses, position, ds, this.Chart.XMin, this.Chart.XMax, this.Chart.YMin, this.Chart.YMax)
.Select(v => new Point(v.X, v.Y)));
}
}
public static IEnumerable <Vector> FieldLine(PointMass[] pointMasses, Vector start, double ds, double xMin, double xMax, double yMin, double yMax)
{
Vector position = new Vector(start.X, start.Y);
Vector g = Assignment8.g(pointMasses, start);
Vector step = new Vector(-g.X, -g.Y) * ds / g.Length;
while (position.X > xMin && position.X < xMax && position.Y > yMin && position.Y < yMax)
{
yield return(position);
position = position + step;
g = Assignment8.g(pointMasses, position + step / 2);
step = new Vector(-g.X, -g.Y) * ds / g.Length;
}
}
public static IEnumerable <Vector> EquipotentialLine(PointMass[] pointMasses, Vector start, double ds)
{
Vector position = new Vector(start.X, start.Y);
bool test = false;
Vector g = Assignment8.g(pointMasses, start);
Vector step = new Vector(g.Y, -g.X) * ds / g.Length;
while (position.Y < start.Y + ds || !test)
{
yield return(position);
position = position + step;
g = Assignment8.g(pointMasses, position + step / 2);
step = new Vector(g.Y, -g.X) * ds / g.Length;
if (position.Y < start.Y)
{
test = true;
}
}
}