proceeding from Howells (4-14) because Lucas (4-14) is missing 1/c term, 
and its B(rov,t), NOT B(r´,t)

/$4-14)		B(r´,t´)  = q/c*(vr´h)/r´s^2 + v/cEi(r´,t´)
/%^%			B(rov,t)  = Q(particle)/c*(Vonv(PART)rph)/rps^2 + Vonv(PART)/cEIodv(Rpcv(POIp(t),t)

/*selectively substitute for (rov,t), |r´|, vov X rph, vov X Ei(ro - vo*t,t) : 
as rph & Ei are collinear direction is normal to v,Ei -> (vr)h = Pph  : 
 Equation (4-17) below explains the transformations 

/$		r´s = |r´| = |r - v*t|
		= [ (Rocs(POIo)*sin(θ))^2 + (Rocs(POIo)*cos(θ) - vs*t)^2 ]^(1/2)  
		v X r´h = vs*sin(θ´)*φ´hat 
		v X r´h = vs*sin(θ´)*φ´hat
		v X Ei(r - v*t,t) = vs*sin(θ´)*|Ei(r - v*t,t)|*φ´hat
		r´s*sin(θ´) = Rocs(POIo)*sin(θ)

/%^%		rps = |Rpcv(POIp)| = |rov - vo*t|
		= [ (Rocs(POIo)*sinOo)^2 + (Rocs(POIo)*cosOo - vos*t)^2 ]^(1/2)  
		Vonv(PART) X rph = vos*sinOp*Pph 
		Vonv(PART) X rph = vos*sinOp*Pph
		Vonv(PART) X EIodv(POIp(t),t) = vos*sinOp*|EIodv(POIp(t),t)|*Pph
		rps*sinOp = Rocs(POIo)*sinOo

/* Substituting for cross-products : This seems WRONG -> should be Bi(rov,t)?
/$		Bi(r - v*t,t)
/%^%		BIodv(ro - vo*t,t)

/*what follows is a "normal interpretation" founded on fixed geometry
/$		B(r´,t´)  =  q/c*(vr´)/r´s^2 + v/cEi(r´,t´)   
/%^%		B(rov,t)  =  Q(particle)/c*(Vonv(PART)Rpcv(POIp))/rps^2 + Vonv(PART)/cEIodv(Rpcv(POIp(t),t)   

/*(NOTE: rov NOT r´!!)
=>  first term is a constant, so derivative is zero. 
Note that an expression is needed for what the observer POI "sees" 
and that, is a dynamic (differential) expression

/$		B(r´,t´)  =  q/c*(vB(r,t)  rr´)/r´s^2 + v/cEi(r´,t´)   

/*    (NOTE: rov NOT r´!!)
 1st term -> substitute for [sinOp,rps]    
/$		∂[∂(t): q/c*vs*sin(θ´)/r´s^2*φ´hat
		= vs/c*q*(Rocs(POIo)*sin(θ)/r´s)/r´s^2*φ´hat 
		= vs/c*Rocs(POIo)*sin(θ)*q/r´s^3*φ´hat 
2)		= vs/c*Rocs(POIo)*sin(θ)*q/|r - v*t|^3*φ´hat 

/* 2nd term -> substitute for sinOp 
/$		1/c*vs*sin(θ´)*|Ei(r - v*t,t)|*φ´hat 
		= vs/c*(Rocs(POIo)*sin(θ)/r´s)*|Ei(r - v*t,t)|*φ´hat 
3)		= vs/c*Rocs(POIo)*sin(θ)/|r - v*t|*|Ei(r - v*t,t)|*φ´hat   

/*substituting (2),(3) into (1) :  

/$4)	Bi(r - v*t,t) 
		=   vs/c*Rocs(POIo)*sin(θ)*q/|r - v*t|^3*φ´hat 
		  + vs/c*Rocs(POIo)*sin(θ)  /|r - v*t|*|Ei(r - v*t,t)|*φ´hat    
		=   vs/c*Rocs(POIo)/|r - v*t|*sin(θ)*φ´hat 
			*[ q/|r - v*t|^2 + |Ei(r - v*t,t)| ]    

/*  NOTE :  If I simply leave Op in expression with |Ei(ro - vo*t,t)|
 I get : 

/$5)	Bi(r - v*t,t) 
		= vs/c*φ´hat
		 * [  q*sin(θ)*Rocs(POIo)/|r - v*t|^3   
			 +   sin(θ´)*|Ei(r - v*t,t)|  ]   


/*++++++++++++++++++++++++++++++++++++++
/*add_eqn  "Lucas_Typo_or_omission     
   04_15rev3
   E,B for symmetry point charge @v_const 
   Adapted non-[derivative, integral] form of Amperes law  

/$		Bi(r - v*t,t) 
		= vs/c*φ´hat 
		 * [  q*sin(θ)*Rocs(POIo)/|r - v*t|^3 
			 +   sin(θ) *|Ei(r - v*t,t)|  ]  

/%^%		BIodv(POIo,t) 
		= Vons(PART)/c*APpch 
		 * [  Q(particle)*sin(Aθoc(POIo))*Rocs(POIo)/Rpcs(POIo(t),t)^3   
			 +   sin(Aθpc(POIo(t),t)) *EIods(POIo,t)  ]   

/*  ( 09Jan2016 WRONG - I have Op rather than Oo in 2nd term.
     NOTE :  If I repace Op in expression with |Ei(ro - vo*t,t)|  
     Difference between static and induced fields!?! 
       I havent wrapped my head around the details.  
       - must re-check basis of angles!