Here I will use Howells form of (4-8) : 
 25Aug2015 re-start equation entry at Lucas04_13

/$		04_08		Bi(r,v,t) =  (v/c)E0(r,t)   ;  
Check 04_08		Bi(r,v,t) =  (v/c)Ei(r,t)   ;  

/%^%					BIodv(POIo,t) =  (Vonv(PART)/c)E0odv(POIo,t)   ;  
					BIodv(POIo,t) =  (Vonv(PART)/c)EIodv(Rocv(POIo),t)   ;  

/*	This still leaves the static component of B as per (4-11)
/$					B(r,v,t) = B0(r,t) + Bi(r,v,t) 
/%^%					BTodv(POIo,t) = B0odv(POIo,t) + BIodv(POIo,t) 

/****where B0 is dropped as it "...  is not electrostatic in nature   ..." (p67h0.4)
  02Jan2016 Note :  There is no magnetic particle in the system, so B0 = 0
  Actually Im confused p67h0.3

 PROBLEM - When is an induce field "real"?  see the 6 equations in Lucas p64
 Generalized Amperes Law -> "v" will be very different for different 
  reference frames.
  - If I assume that the Bi field is the same in all reference frames, then 
    v is a velocity relative to WHAT? 
  - Presumably it must be relative to the E0 field?  
  From this, I conclude that Equation 1 - implies that 
  the B field DOES depend on the observer frame!  So if : 
  - you moved with a point charge, you would see NO B induced field? 
  - a very high-speed passing observer would see arbitrarily large B fields?
  - many observers moving past the point at different relative velocities 
    will see different B fields
Weird, I didnt think of these things. Reminds me that a constant current 
in a wire has a B field, but no E field (which I hadnt thought of)!

 Use same functional form for B0 & Bi?  This has to be verified and justified!
   given the induced versus static B fields.

/$			B(r´,t´)    
			= (v/c)E0(r´,t´) + (v/c)Ei(r´,t´)   
			= (v/c)[ E0(r´,t´) + Ei(r´,t´) ]  

/%^%		BTodv(POIp(t),t)    
			= (Vonv(PART)/c)E0odv(Rpcv(POIp),t´) + (Vonv(PART)/c)EIodv(Rpcv(POIp(t),t)   
			= (Vonv(PART)/c)[ E0odv(Rpcv(POIp),t´) + EIodv(Rpcv(POIp(t),t) ]  

/*++++++++++++++++++++++++++++++++++++++
/*add_eqn  "Question       
   04_13rev1
   Total B magnetic flux density as induced from E0 + Ei  

/$		B(r´,t´) 		 = Bi(r - v*t,t) = (v/c)[ E0(r´,t´) + Ei(r´,t´) ]  
/%^%		BTdv(POIp(t),t) = Vonv(PART)/c[ E0pdv(POIp) + (EIpdv(POIp)=0) ] ???

/*  ( OK simple, but I have questions. 10Jan2016
     I assume B0 doesn't appear as there is no "other background" B source -   
        eg permanent magnet of other [charges, currents].  Or is B0 from E0?  
     PROBLEM - When is an induce field "real"? - depends on relative velocities  
       so different observers at different relative velocities 
       see different B fields at the same Point of Interest (POI)!!??