//multiply two vectors
public static Vector6 operator *(Vector6 value1, Vector6 value2)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
newVector.X = value1.X * value2.X;
newVector.Y = value1.Y * value2.Y;
newVector.Z = value1.Z * value2.Z;
newVector.VX = value1.VX * value2.VX;
newVector.VY = value1.VY * value2.VY;
newVector.VZ = value1.VZ * value2.VZ;
return newVector;
}
//multiply a vector by a scalar
public static Vector6 operator *(Vector6 value, double scaleFactor)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
newVector.X = scaleFactor * value.X;
newVector.Y = scaleFactor * value.Y;
newVector.Z = scaleFactor * value.Z;
newVector.VX = scaleFactor * value.VX;
newVector.VY = scaleFactor * value.VY;
newVector.VZ = scaleFactor * value.VZ;
return newVector;
}
static Vector6 deriv(double t, Vector6 bodyData)
{
//X = xCoor, Y = yCoor, Z = zCoor, VX = vxComp, VY = vyComp, VZ = vzComp
Vector6 f = new Vector6(0, 0, 0, 0, 0, 0);
double component = (-GM) / Math.Pow(Math.Pow(bodyData.X, 2) + Math.Pow(bodyData.Y, 2) + Math.Pow(bodyData.Z, 2), 1.5);
f.X = bodyData.VX;
f.Y = bodyData.VY;
f.Z = bodyData.VZ;
f.VX = component * bodyData.X;
f.VY = component * bodyData.Y;
f.VZ = component * bodyData.Z;
return f;
}
//add two vectors
public static Vector6 operator +(Vector6 value1, Vector6 value2)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
newVector.X = value1.X + value2.X;
newVector.Y = value1.Y + value2.Y;
newVector.Z = value1.Z + value2.Z;
newVector.VX = value1.VX + value2.VX;
newVector.VY = value1.VY + value2.VY;
newVector.VZ = value1.VZ + value2.VZ;
return newVector;
}
public static Vector6 operator /(Vector6 value1, Vector6 value2)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
if (value2.X != 0) newVector.X = value1.X / value2.X;
else newVector.X = 0;
if (value2.Y != 0) newVector.Y = value1.Y / value2.Y;
else newVector.Y = 0;
if (value2.Z != 0) newVector.Z = value1.Z / value2.Z;
else newVector.Z = 0;
if (value2.VX != 0) newVector.VX = value1.VX / value2.VX;
else newVector.VX = 0;
if (value2.VY != 0) newVector.VY = value1.VY / value2.VY;
else newVector.VY = 0;
if (value2.VZ != 0) newVector.VZ = value1.VZ / value2.VZ;
else newVector.VZ = 0;
return newVector;
}
public static Vector6 operator /(Vector6 value, double divisor)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
if (divisor != 0)
{
newVector.X = value.X / divisor;
newVector.Y = value.Y / divisor;
newVector.Z = value.Z / divisor;
newVector.VX = value.VX / divisor;
newVector.VY = value.VY / divisor;
newVector.VZ = value.VZ / divisor;
}
else
newVector = new Vector6(0, 0, 0, 0, 0, 0);
return newVector;
}
//subtract two vectors
public static Vector6 operator -(Vector6 value1, Vector6 value2)
{
Vector6 newVector = new Vector6(0, 0, 0, 0, 0, 0);
newVector.X = value1.X - value2.X;
newVector.Y = value1.Y - value2.Y;
newVector.Z = value1.Z - value2.Z;
newVector.VX = value1.VX - value2.VX;
newVector.VY = value1.VY - value2.VY;
newVector.VZ = value1.VZ - value2.VZ;
return newVector;
}
static void Main(string[] args)
{
do
{
//initial x and y coordinate of the orbiting object
double initialX = readInt("\nInput an initial value for X: ");
double initialY = readInt("\nInput an initial value for Y: ");
double initialZ = readInt("\nInput an initial value for Z: ");
double semiMajorAxis = readInt("\nInput a possible semi major axis length: ");
//the radius of the oribiting object
double radius = Math.Sqrt(Math.Pow(initialX, 2) + Math.Pow(initialY, 2) + Math.Pow(initialZ, 2));
//initial velocities
double initialVX, initialVY, initialVZ;
//double magnitude = Math.Sqrt(GM / radius);
double magnitude = Math.Sqrt(GM * ((2 / radius) - (1 / semiMajorAxis)));
initialVX = readInt("\nInput an initial unit X direction: ") * magnitude;
initialVY = readInt("\nInput an initial unit Y direction: ") * magnitude;
initialVZ = readInt("\nInput an initial unit Z direction: ") * magnitude;
Vector6 y = new Vector6(initialX, initialY, initialZ, initialVX, initialVY, initialVZ);
t = readInt("Input a initial value for time 't': ");
do
{
h = readInt("\nInput a Step Size Value: ");
if (h > 1) Console.WriteLine("Step Size must be less than or equal to 1");
} while (h > 1);
Vector6[] k = new Vector6[5];
k[0] = null;
Console.WriteLine(y);
Console.Write("Enter the name of the text file " + Environment.NewLine + "on your desktop to be written: ");
string FN = Console.ReadLine();
string P = Directory.GetCurrentDirectory();
DirectoryInfo parent = Directory.GetParent(P);
List<string> directories = new List<string>();
while (parent.Name != "Users")
{
parent = parent.Parent;
directories.Add(parent.Name);
}
int length = directories.Count;
string encryptionFilePath = "C:\\";
int whichOne = 0;
for (int i = length - 1; i > -1; i--)
{
if (directories[i] == "Users")
{
whichOne = i - 1;
encryptionFilePath = encryptionFilePath + directories[i] + "\\";
break;
}
encryptionFilePath = encryptionFilePath + directories[i] + "\\";
}
string path = encryptionFilePath + directories[whichOne] + "\\Desktop\\" + FN + ".txt";
if (File.Exists(path))
{
using (StreamWriter sw = new StreamWriter(path))
{
int j = 1;
do
{
//k_1 = h * f(x_n, y_n)
k[1] = h * deriv(t, y);
k[2] = h * deriv(t + h / 2, y + (k[1] / 2));
k[3] = h * deriv(t + h / 2, y + (k[2] / 2));
k[4] = h * deriv(t + h, y + k[3]);
//y_n+1 = y_n + (k_1)/6 + (k_2)/3 + (k_3)/3 + (k_3)/6
y = y + k[1] / 6 + k[2] / 3 + k[3] / 3 + k[4] / 6;
//y = "{X, Y, Z, VX, VY, VZ}"
sw.WriteLine(y.X + "\t" + y.Y + "\t" + y.Z);
//Console.WriteLine(y);
//Console.WriteLine();
//Console.ReadLine();
j++;
} while (j < iterations);
}
}
do
{
moreInput = readInt("Continue? 1:Yes 2:No : ");
if (moreInput != 1 && moreInput != 2)
Console.WriteLine("Enter a 1 or 2 to continue");
} while (moreInput != 1 && moreInput != 2);
} while (moreInput == 1);
}
