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  1. // Please enter the mass of the body you are in orbit around (in kilograms x10^20):
  2. double planet_mass = 529.15158;
  3.  
  4. // Please enter the radius of the body you are in orbit around (in metres): 
  5. double planet_radius = 600'000;
  6.  
  7. // Please enter the radius of the sphere of influence of the body that you are 
  8. // currently in orbit around (in metres):
  9. double planet_sphere_of_influence = 84'159'286;
  10.  
  11. // Please enter your current orbital altitude above sea level (in metres):
  12. double current_orbit = 70'000;
  13.  
  14. // Please enter your desired orbital altitude above sea level (in metres):
  15. double final_orbit = 7'800'000;
  16.  
  17.  
  18.  
  19. #include <math.h>
  20. #include <iostream>
  21. #include <cstdlib>
  22.  
  23. using namespace std;
  24.  
  25. void bi_elliptical_delta_v (double current_orbit, double bi_elliptical_apoapsis, double final_orbit, double standard_gravitational_parameter, double planet_radius)
  26. {
  27.   double delta_v_1, delta_v_2, delta_v_3, delta_v_total;
  28.   delta_v_1 = sqrt (((2*standard_gravitational_parameter)/current_orbit)-((2*standard_gravitational_parameter)/(current_orbit + bi_elliptical_apoapsis))) - sqrt (standard_gravitational_parameter/current_orbit);
  29.   delta_v_2 = sqrt (((2*standard_gravitational_parameter)/bi_elliptical_apoapsis)-((2*standard_gravitational_parameter)/(final_orbit + bi_elliptical_apoapsis))) - sqrt (((2*standard_gravitational_parameter)/bi_elliptical_apoapsis)-((2*standard_gravitational_parameter)/(current_orbit + bi_elliptical_apoapsis)));
  30.   delta_v_3 = sqrt (((2*standard_gravitational_parameter)/final_orbit)-((2*standard_gravitational_parameter)/(final_orbit + bi_elliptical_apoapsis))) - sqrt (standard_gravitational_parameter/final_orbit);
  31.   delta_v_total = delta_v_1 + delta_v_2 + delta_v_3;
  32.   string fore;
  33.   if (current_orbit < final_orbit)
  34.   {
  35.     fore = "prograde";
  36.   }
  37.   else if (current_orbit > final_orbit)
  38.   {
  39.     fore = "retrograde";
  40.   }
  41.   cout << "Bi-elliptcal transfer stats:" << endl << "Bi-elliptical apoapsis: " << bi_elliptical_apoapsis - planet_radius << "m above sea level" << endl << "Burn 1 = " << delta_v_1 << "m/s prograde" << endl << "Burn 2: " << delta_v_2 << "m/s " << fore << endl << "Burn 3 = " << delta_v_3 << "m/s retrograde" << endl << "Total delta v: " << delta_v_total << "m/s" << endl;
  42. }
  43.  
  44. void hohmann_delta_v (double current_orbit, double final_orbit, double standard_gravitational_parameter)
  45. {
  46.   double delta_v_1, delta_v_2, delta_v_total;
  47.   delta_v_1 = sqrt (((2*standard_gravitational_parameter)/current_orbit)-((2*standard_gravitational_parameter)/(current_orbit + final_orbit))) - sqrt (standard_gravitational_parameter/current_orbit);
  48.   delta_v_2 = sqrt (((standard_gravitational_parameter)/final_orbit)) - sqrt (((2*standard_gravitational_parameter)/final_orbit)-((2*standard_gravitational_parameter)/(current_orbit + final_orbit)));
  49.   delta_v_total = delta_v_1 + delta_v_2;
  50.   string fore;
  51.   if (current_orbit < final_orbit)
  52.   {
  53.     fore = "prograde";
  54.   }
  55.   else if (current_orbit > final_orbit)
  56.   {
  57.     fore = "retrograde";
  58.   }
  59.   cout << "Hohmann transfer stats:" << endl << "Burn 1 = " << delta_v_1 << "m/s " << fore << endl << "Burn 2: " << delta_v_2 << "m/s " << fore << endl  << "Total delta v: " << delta_v_total << "m/s" << endl;
  60. }
  61.  
  62. int main ()
  63. {
  64.   double mass_multiplier = 100000000000000000000.0;
  65.   planet_mass *= mass_multiplier;
  66.   double standard_gravitational_parameter = planet_mass*0.0000000000667;
  67.  
  68.   current_orbit += planet_radius;
  69.  
  70.   final_orbit += planet_radius;
  71.  
  72.   double bi_elliptical_apoapsis = (0.9*(planet_sphere_of_influence - final_orbit)) + final_orbit;
  73.   hohmann_delta_v (current_orbit, final_orbit, standard_gravitational_parameter);
  74.   cout << endl;
  75.   bi_elliptical_delta_v (current_orbit, bi_elliptical_apoapsis, final_orbit, standard_gravitational_parameter, planet_radius);
  76.   cout << endl;
  77.   system ("PAUSE");
  78.   return 0;
  79. }
Success #stdin #stdout #stderr 0s 4400KB
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stdin
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Standard input is empty
stdout
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Hohmann transfer stats:
Burn 1 = 828.506m/s prograde
Burn 2: 399.056m/s prograde
Total delta v: 1227.56m/s

Bi-elliptcal transfer stats:
Bi-elliptical apoapsis: 7.59834e+07m above sea level
Burn 1 = 936.586m/s prograde
Burn 2: 67.176m/s prograde
Burn 3 = 222.013m/s retrograde
Total delta v: 1225.77m/s
stderr
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sh: 1: PAUSE: not found
https://ideone.com/EZ8UHX
language:
C++ (gcc 8.3)
created:
5 years ago
visibility:
public

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