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

using namespace std;

// these are now constants.
const float PI = 3.14159265358979323846264338327950288419716939937510; // pi
const float G = 6.673E-11;

float orbitalPeriod(float a, float M, float m)
{
    float f = a * 149598E6; // take value for a from user
    return ((sqrt(((4 * PI * PI) / (G * (M + m))) * f * f * f)) / 86400); // perform function
}

float orbitalRadius(float T, float M, float m)
{
    float n = T * 86400;
    float d = ((T * T * G * (M + m)) / (4 * PI * PI)); // perform function
    float b = 1 / 3; // give value for b
    return pow(d, b); // raise d to a power of b
}

int main() {
    int ans;
    float M, m; // define variables

    cout << "please enter value for m" << endl; // prompt user to enter a value for m
    cin >> m; // take value from user

    cout << "please enter value for M" << endl; // prompt user to enter value for M
    cin >> M; // take value fromo user

    cout << "Would you like to find the orbital period? Enter 1 for yes, enter any other value for no." << endl; // ask user if he would like to find the orbital period
    cin >> ans; // take value from user

    if (ans == 1) { // Use for loop if User said yes
        float a;
        cout << "What is the orbital radius of the star/planet system in AU?" << endl; // promt user for value for radius
        cin >> a;
        cout << "the orbital period: " << setprecision(5) << orbitalPeriod(a, M, m) << "days" << endl;
    } //else do nothing

    cout << "Would you like to find the orbital radius? Enter 1 for yes, enter any other value for no" << endl; // ask user if he'd like to enter the orbital radius
    cin >> ans; // take value from user

    if (ans == 1) { // user for loop if user answered yes to previous question
        float T;
        cout << "What is the orbital period of the star/planet system in days?" << endl; // ask user for value for T
        cin >> T;
        cout << "the orbital radius: " << orbitalRadius(T, M, m) << "AU" << endl;
    } else {
        cout << "There has been an error" << endl;
    }

}