To review the New Guinea to Howland flight for the via Choiseul Island detour as deployed in the addendum of EJN article no.3 , we check the physical flight system by a mathematical model for which we use the analytical Breguet Formula for range:
R = H/g . L/D . ŋov . ln [ Winit / Wfin ]
In which R is the ferry range of NR 16020 in km , H the avgas energy density in kg m2/s2 (Joule) per kg mass , L/D the lift to drag rate for the aircraft , ŋov the overall efficiency of the propulsive system , and Winit , Wfin the respective weights of aircraft before takeoff and after any part of, or all the gasoline has been burnt during one single flight . The integral R = ʃ (W , H , g , L , D , ŋov) δW can only result in the above Breguet formula if the between brackets latter five figures are constants , which they actually are on long haul flights with a small fraction only of range and endurance for takeoff and landing operations to and from a given flight altitude. With empirics H = 42 x 106 J /kg , L/D = 8 , ŋov = 0.25 , ln [Winit / Wfin] = 0.536 we find Rmax = 4,590 km , 2,852 SM @ altitude 8,000 ft . The via Choiseul Island Lae-
Tfinal = -
with V = 63 m/s (work is exclusively done by motion w.r.t. Earth) , Tfinal measures 72851 s / 3,600 s / hr = 20h14m11s when the NR 16020 radio transmission signed off , against Earhart´s intention to come back on the air .
March 31 , 2013 H.A.C.van Asten
Addendum #2 to July 2008 Article in the
European Journal of Navigation