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| − | Hi! I'm TomPN, and I'm an avid fan of Kerbal Space Program.
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| − | == Comms satellites ==
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| − | For any of you out there using RemoteTech, here's a little fact that I've just worked out:
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| − |
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| − | '''In order for a three-satellite network to provide constant uplink to a particular spot, the orbital altitude of the satellites must be greater than or equal to the radius of the body they are orbiting. '''
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| − |
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| − | == Orbital calculator ==
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| − | I'd like to upload my (now upgraded) program for calculating whether you should use a Hohmann transfer or a Bi-elliptical transfer, but it's an exe so I can't. I can post the source code, however, so here goes (You'll need a C++ emulator (can be found online) or compiler (can be downloaded) to run the code):
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| − | #include <math.h>
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| − | #include <iostream>
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| − | #include <cstdlib>
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| − |
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| − | using namespace std;
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| − |
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| − | void bi_elliptical_delta_v (double current_orbit, double bi_elliptical_apoapsis, double final_orbit, double standard_gravitational_parameter, double planet_radius)
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| − | {
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| − | double delta_v_1, delta_v_2, delta_v_3, delta_v_total;
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| − | 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);
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| − | 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)));
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| − | 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);
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| − | delta_v_total = delta_v_1 + delta_v_2 + delta_v_3;
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| − | string fore;
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| − | if (current_orbit < final_orbit)
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| − | {
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| − | fore = "prograde";
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| − | }
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| − | else if (current_orbit > final_orbit)
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| − | {
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| − | fore = "retrograde";
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| − | }
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| − | 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;
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| − | }
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| − |
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| − | void hohmann_delta_v (double current_orbit, double final_orbit, double standard_gravitational_parameter)
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| − | {
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| − | double delta_v_1, delta_v_2, delta_v_total;
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| − | delta_v_1 = sqrt (((2*standard_gravitational_parameter)/current_orbit)-((2*standard_gravitational_parameter)/(current_orbit + final_orbit))) - sqrt (standard_gravitational_parameter/current_orbit);
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| − | delta_v_2 = sqrt (((standard_gravitational_parameter)/final_orbit)) - sqrt (((2*standard_gravitational_parameter)/final_orbit)-((2*standard_gravitational_parameter)/(current_orbit + final_orbit)));
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| − | delta_v_total = delta_v_1 + delta_v_2;
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| − | string fore;
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| − | if (current_orbit < final_orbit)
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| − | {
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| − | fore = "prograde";
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| − | }
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| − | else if (current_orbit > final_orbit)
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| − | {
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| − | fore = "retrograde";
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| − | }
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| − | 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;
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| − | }
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| − |
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| − | int main ()
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| − | {
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| − | cout << "Orbital transfer calculator v2.0\nWritten by TomPN\n18/01/2016\n" << endl;
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| − | double planet_mass;
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| − | cout << "Please enter the mass of the body you are in orbit around (in kilograms x10^20): ";
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| − | cin >> planet_mass;
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| − | double mass_multiplier = 100000000000000000000.0;
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| − | planet_mass *= mass_multiplier;
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| − | double standard_gravitational_parameter = planet_mass*0.0000000000667;
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| − | double planet_radius;
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| − | cout << "Please enter the radius of the body you are in orbit around (in metres): ";
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| − | cin >> planet_radius;
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| − | double current_orbit;
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| − | cout << "Please enter your current orbital altitude above sea level (in metres): ";
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| − | cin >> current_orbit;
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| − | current_orbit += planet_radius;
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| − | double final_orbit;
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| − | cout << "Please enter your desired orbital altitude above sea level (in metres): ";
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| − | cin >> final_orbit;
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| − | final_orbit += planet_radius;
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| − | double sphere_of_influence;
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| − | cout << "Please enter the radius of the sphere of influence of the body that you are\n currently in orbit around (in metres): ";
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| − | cin >> sphere_of_influence;
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| − | cout << endl;
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| − | double bi_elliptical_apoapsis = (0.9*(sphere_of_influence - final_orbit)) + final_orbit;
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| − | hohmann_delta_v (current_orbit, final_orbit, standard_gravitational_parameter);
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| − | cout << endl;
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| − | bi_elliptical_delta_v (current_orbit, bi_elliptical_apoapsis, final_orbit, standard_gravitational_parameter, planet_radius);
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| − | cout << endl;
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| − | system ("PAUSE");
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| − | return 0;
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| − | }
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| − |
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| − | The calculator can be used for raising or lowering your orbit. Please do not edit the source code. If you find an error, point it out to me and I will attempt to fix it.
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