This is the computation used by the website launchercalculator :
//=== Losses calculation by Y.Lobanovsky ===
var Const = (First_stage_isp_vac-(First_stage_isp_vac-First_stage_isp_sea_level)*.169);
var Const2 = (Math.exp(112.13/(Const+(Const-First_stage_isp_sea_level)/((1.-.169)*1.8872)*(-.8612))));
var Gravity_losses_at_specific_altitude = 9.81*(500./Math.sqrt((1.015*Math.sqrt((((Thrust_to_weight_ratio-1.)*9.81)*
(Const2*(Const/First_stage_isp_sea_level)*
((Thrust_to_weight_ratio-1.)*9.81)-(1.-Const2*(Const/First_stage_isp_sea_level))*9.81))))*9.81));
var Gravity_losses = 4./3.*
((Thrust_to_weight_ratio<1.46)
? Gravity_losses_at_specific_altitude*(1.5+2.5*(Thrust_to_weight_ratio-1.17)-4.25*(Thrust_to_weight_ratio-1.17)*(Thrust_to_weight_ratio-1.17))
: 1.865*Gravity_losses_at_specific_altitude);
//=== Additional losses calculation by J.Schilling ===
var Ascent_Time = 519;
if (elFirst_stage_run_time.textContent != "NaN")
{Ascent_Time = parseFloat(elFirst_stage_run_time.textContent) + parseFloat(elSecond_stage_run_time.textContent) + 2.;}
//var Gravity_losses_Time_Correction = 0.275*(0.0013*Math.pow(Ascent_Time,2)+0.0882*Ascent_Time-396)
var First_stage_delta_v0 = 3612.;
if(elFirst_stage_delta_v.textContent != "NaN")First_stage_delta_v0 = parseFloat(elFirst_stage_delta_v.textContent);
var Gravity_losses_Time_Correction = 0.178*((9140-First_stage_delta_v0)/First_stage_delta_v0)*(0.0013*Math.pow(Ascent_Time,2)+0.0882*Ascent_Time-396)
Gravity_losses = Gravity_losses+Gravity_losses_Time_Correction;
//var Gravity_lossesPr = Gravity_losses + Irremovable_Gravity_Losses;
var Aerodynamic_losses = Math.exp(-Starting_point_Altitude/7.16)/(Lift_off_Mass/2945000)*Math.pow(Max_midsection_D/10.1, 2.) *
((Thrust_to_weight_ratio>1.17)
? (.045+.1*Math.pow(Thrust_to_weight_ratio-1.17, 1.5))*1000.
: (.045+.1*(1.3332*Thrust_to_weight_ratio*Thrust_to_weight_ratio-2.9399*Thrust_to_weight_ratio+1.6148))*1000.);
var Summary_losses = Gravity_losses+Aerodynamic_losses+145.;
It would be nice to verify how it compares to the existing model, and maybe add the choice. This model requires more data such as Thrust To Weight Ratio or Ascent Time.
This is the computation used by the website launchercalculator :
It would be nice to verify how it compares to the existing model, and maybe add the choice. This model requires more data such as Thrust To Weight Ratio or Ascent Time.