Simulation of Satellite Orbit Gaming Project in C++

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4 months ago

#include <iostream>
#include <cmath>
#include <iomanip>

// Constants
const double PI = 3.141592653589793;
const double ORBIT_RADIUS = 1000.0; // Radius of the orbit in kilometers
const double ORBIT_PERIOD = 3600.0; // Orbit period in seconds (e.g., 1 hour)

// Function to calculate the satellite's position based on time
void calculatePosition(double time, double& x, double& y) {
    double angularVelocity = 2 * PI / ORBIT_PERIOD;
    double angle = angularVelocity * time;
    x = ORBIT_RADIUS * std::cos(angle);
    y = ORBIT_RADIUS * std::sin(angle);
}

int main() {
    // Simulation parameters
    double startTime = 0.0; // Start time in seconds
    double endTime = 7200.0; // End time in seconds (e.g., 2 hours)
    double timeStep = 600.0; // Time step in seconds (e.g., 10 minutes)

    std::cout << "Time (s)\tX Position (km)\tY Position (km)\n";
    std::cout << "----------------------------------------------\n";

    // Run the simulation
    for (double time = startTime; time <= endTime; time += timeStep) {
        double x, y;
        calculatePosition(time, x, y);
        std::cout << std::fixed << std::setprecision(2) << time << "\t\t"
                  << std::fixed << std::setprecision(2) << x << "\t\t"
                  << std::fixed << std::setprecision(2) << y << "\n";
    }

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip>

// Constants

const double PI = 3.141592653589793;

const double ORBIT_RADIUS = 1000.0; // Radius of the orbit in kilometers

const double ORBIT_PERIOD = 3600.0; // Orbit period in seconds (e.g., 1 hour)

// Function to calculate the satellite's position based on time

void calculatePosition(double time, double& x, double& y) {

double angularVelocity = 2 * PI / ORBIT_PERIOD;

double angle = angularVelocity * time;

x = ORBIT_RADIUS * std::cos(angle);

y = ORBIT_RADIUS * std::sin(angle);

}

int main() {

// Simulation parameters

double startTime = 0.0; // Start time in seconds

double endTime = 7200.0; // End time in seconds (e.g., 2 hours)

double timeStep = 600.0; // Time step in seconds (e.g., 10 minutes)

std::cout << "Time (s)\tX Position (km)\tY Position (km)\n";

std::cout << "----------------------------------------------\n";

// Run the simulation

for (double time = startTime; time <= endTime; time += timeStep) {

double x, y;

calculatePosition(time, x, y);

std::cout << std::fixed << std::setprecision(2) << time << "\t\t"

<< std::fixed << std::setprecision(2) << x << "\t\t"

<< std::fixed << std::setprecision(2) << y << "\n";

}

return 0;

}

Explanation

Constants:
- PI: Mathematical constant π.
- ORBIT_RADIUS: Radius of the satellite’s orbit around the planet in kilometers.
- ORBIT_PERIOD: Time taken for one complete orbit in seconds (e.g., 1 hour).
Function calculatePosition(double time, double& x, double& y):
- Purpose: Calculates the satellite’s position in its orbit at a given time.
- Parameters:
  - time: Current time in seconds.
  - x and y: Output parameters for the satellite’s position coordinates.
- Implementation:
  - Angular Velocity: Calculated as 2 * PI / ORBIT_PERIOD, representing the rate of angular change.
  - Angle Calculation: Angle of the satellite’s position is angularVelocity * time.
  - Position Calculation: Uses trigonometric functions to determine the satellite’s position in a circular orbit.
Main Function:
- Simulation Parameters:
  - startTime: Beginning of the simulation in seconds.
  - endTime: End of the simulation in seconds.
  - timeStep: Increment in time for each step of the simulation.
- Simulation Loop:
  - Position Calculation: Calls calculatePosition to determine the satellite’s position at each time step.
  - Result Display: Outputs the time and satellite’s position in the orbit.

Usage

Satellite Orbit Simulation: Models the position of a satellite in a circular orbit around a planet.
Position Calculation: Calculates and displays the satellite’s position over time based on circular motion principles.

Explanation

Usage

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