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Our esteemed friend Hanno Ix showed me how to do lunar clearance with Hv-Doniol  (with Lars modification?)  a few months ago before he unfortunately left us.

The same Karl page 93 example.

RBA:

LDsd =  52 deg 23';

 Hsd  =  38 deg 40';

 hsd  =  30 deg 36'

    Lars                  with  lunar variables                       value

Set:      PD           =      LDsd;                                        52deg 23'

             N            =       hav ( Hsd - hsd )                         0.0049

             P            =       hav( Hsd + hsd )                         0.3230

             Q            =       P + N                                        0.3279  

then   RBA          = arc hav [  (hav ( PD ) - N / (1 - Q) ]  =  64deg 12.9'
_______________________________________________________________

LDo:

RBA   =  64deg 12.9'

  Ho    =  38deg 38.7

   ho   =   31deg 21.4'

         hav - Doniol         with lunar variables              value

Set:         n             =        hav ( Ho - ho )                        0.0040        

               p             =        hav ( Ho +ho )                         0.3290      

               q             =        p + q                                      0.3330       

then  LDo              = arc hav [ n + ( 1 - q ) * hav (RBA) =  52deg 2.55'

I have never tried Ageton, but may do some comparisons in the next few months,if I find time.(I find semi reitirement very busy!). I shall compare calculator, Fuller slide rule, BN, Hv Doniol and probably now Ageton.

All good fun.

Really miss Hanno in these fascinating discussions.

Best wishes all,

Francis