∂
0
A
a
A1
a1
A2
a2
A3
a3
A_cap
A_max
Ap
A_pie
arccos
arccos(Aθpc(POIo(t),t))
arcsin
Area
∂(Area)
∂(Area)´
∫[∂(Area): B(r,t)•n]
∫[∂(Area): BTodv(POIo,t)•n]
∫[∂(Area): E0pdv(POIp)•Roch(POIo)]
∮[*∂(Area),.over.Area: BIodv(POIo,t)]
A_sphere
Aθ
Aθ0oc
Aθ0oc(POIo)
Aθ_E0DIFFoc
Aθ_E0DIFFoc(POIo,∂(t))
Aθo
Aθoc
Aθoc(POIo)
Aθoc(POIp(t),t)
Aθoc(POIp(t),t = 0)
Aθod
Aθod(POIo)
Aθon
Aθpc
∂(Aθpc)
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*Rpcs(POIo(t),t)^( - 4)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*Rpcs(POIo(t),t)^( - 5)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^1*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^1*Rpcs(POIo(t),t)^( - 3)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^1*Rpcs(POIo(t),t)^( - 5)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^2*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^2*Rpcs(POIo(t),t)^( - 4)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^2*Rpcs(POIo(t),t)^( - 5)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^3*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^3*Rpcs(POIo(t),t)^( - 4)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^3*Rpcs(POIo(t),t)^( - 6)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^3*Rpcs(POIo(t),t)^( - 7)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^4*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^4*Rpcs(POIo(t),t)^( - 5)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^4*Rpcs(POIo(t),t)^( - 6)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^5*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^5*Rpcs(POIo(t),t)^( - 5)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^5*Rpcs(POIo(t),t)^( - 6)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^5*Rpcs(POIo(t),t)^( - 7)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^6*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^6*Rpcs(POIo(t),t)^( - 6)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^7*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^7*Rpcs(POIo(t),t)^( - 7)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^(a)*Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^(a)*Rpcs(POIo(t),t)^( - β)]
∫[∂(Aθpc),0.to.Aθpcf: Rpcs(POIo(t),t)]
∫[∂(Aθpc),0.to.Aθpcf: Rpcs(POIo(t),t)^( - β)*cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^(a)]
∫[∂(Aθpc),0.to.Aθpcf: Rpcs(POIo(t),t)^( - β)*cos(Aθpc(POIo(t),t))*sin(Aθpc(POIo(t),t))^a]
Aθpcf
Aθpc(POIo(t),t)
Aθpc(POIo(t),t = 0)
Aθpc(POIp)
Aθpc(RFt)
∂[∂(Aθpc): Rocs(POIo)*sin(Aθoc(POIo))/sin(Aθpc(POIo(t),t))]
∂[∂(Aθpc): Rpcs(POIo(t),t)]
∂[∂(Aθpc): Rpcs(POIo(t),t = 0)]
∂[∂(Aθpc): Rpcs(POIo(t),t)^( - β + 1)]
∂[∂(Aθpc): |Rpcv(POIo(t),t)|]
∂[∂(Aθpc): |Rpcv(POIo(t),t)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t)^( - 1)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^( - 1)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(4)*Rpcs(POIo(t),t)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(4)*Rpcs(POIo(t),t)^( - 6)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(4)*Rpcs(POIo(t),t)^( - 6)/10/Rocs(POIo)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(a + 1)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(a + 1)*Rpcs(POIo(t),t)]
∂[∂(Aθpc): sin(Aθpc(POIo(t),t))^(a + 1)*Rpcs(POIo(t),t)^( - β + 1)]
Aθpd
Aθpd(POIo(t),t)
Aθpd(RDEpdh(POIo(t),∂(t)))
Aθpd(Rpch(POIo(t),t))
Aθpd(Vonv(particle),Rpch(POIo(t),t))
Aθpd(Vonv,Rpch(POIo(t),t))
AθPI2oc
AθPI2oc(POIo)
Aθpn
Aθtc
∂(Aθtc)
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): 1/c/Rocs(POIo)*∂[∂(t): EIods(POIo,t = 0)]*sin(Aθpc(POIo(t),t))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): 1/c/Rocs(POIo)*∂[∂(t): EIods(POIo,t)]*sin(Aθoc(POIp(t),t = 0))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): 1/c/Rocs(POIo)*∂[∂(t): EIods(POIo,t)]*sin(Aθpc(POIo(t),t))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): 1/c/Rocs(POIo)*∂[∂(t): EIods(POIo,t)]*sin(Aθpc(POIp))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθpc(POIp))*sin(Aθpc(POIp))^8]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθpc(POIp))*sin(Aθpc(POIp))^9]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^0]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^1]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^2]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^3]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^4]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^5]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^6]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^7]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^0]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^1]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^10]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^11]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^2]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^3]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^4]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^5]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^6]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^7]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^8]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^9]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): expressionswith[Rocs(POIo),Rpcs(POIo(t),t = 0),Aθtc(RFt)]]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): expressionswith[Rocs(POIo),Rpcs(RFt),Aθtc(RFt),E0ods(POIo(t),t = 0)]]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): Rocs(POIo)*cos(Aθtc(POIp(t),t = 0))*Rpcs(POIo,t = 0)^( - 5)*sin(Aθoc(POIp(t),t = 0))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): (Rocs(POIo)*cos(Aθtc(POIp(t),t = 0)) - Vons*t)*Rpcs(POIo,t = 0)^( - 5)*sin(Aθoc(POIp(t),t = 0))]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^1]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^2]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^3]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^4]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^5]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^6]
∫[∂(Aθtc),0.to.Aθpc(POIo(t),t = 0): sin(Aθtc(RFt))]
∫[∂(Aθtc),0.to.Aθtc(POIt,t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθtc(RFt))^z]
Aθtc(POIo(t),t = 0)
Aθtc(POIp(t),t = 0)
Aθtc(RFo)
Aθtc(RFt)
Aφ
Aφo
Aφoc
Aφoc(POIo)
Aφod
Aφod(POIo)
Aφod(Vonv_X_Rpcv(POIo(t),t))
Aφpc
Aφpc(POIo(t),t)
Aφpc(POIp)
Aφpd
Aφpd(POIo(t),t)
Aφpd(Vonv_X_Rpcv(POIo(t),t))
Aφpd(VXR)
B
∇B
b
B0
B0odv
B0odv(POIo,t)
B0pdv
B0pdv(POIo(t),t)
B0pdv(POIp)
b1
b2
b3
bee
bep
BI
BI_BARNodv
BI_BARNodv(POIo,t)
BI_BARNpdv
BI_BARNpdv(POIo(t),t)
BIods
BIods(POIo,t)
BIodv
BIodv(POIo,t)
BIodv(POIp(t),t)
BIpdv
BIpdv(POIo(t),t)
BIpdv(POIp,t)
bpe
bpp
BT
BT_BARNodv
BT_BARNodv(POIo,t)
BT_BARNpdv
BT_BARNpdv(POIo(t),t)
BTI_BARNpdv
BT_LENZodv
BT_LENZodv(POIo,t)
BT_LENZpdv
BT_LENZpdv(POIo(t),t)
BTodv
BTodv(POIo,t)
BTodv(POIp(t),t)
BTpdv
BTpdv(POIo(t),t)
BTpdv(POIp,t)
BVcos(Aθpc(POIo(t),t = 0))
C
c
c1
c2
c3
choose
choose(alpha,k)
choose( - m,n)
closedcurveL
cos
cos(Aθoc(POIo))
cos(Aθoc(POIo),Rodh(Vonv_X_Rpcv(POIo(t),t)))
cos(Aθoc(POIp(t),t))
cos(Aθpc(POIo(t),t))
cos(Aθpc(POIp))
cos(Aθpc(POIt,t = 0))
cos(Aθpc(RFt))
cos(Aθtc(POIp(t),t = 0))
cos(θf)
cos(π)
curl
curl(v)
d
d(Aθpc(POIo(t),t))
d(Aθpc(POIo(t),t = 0))
∫[d(Aθpc(POIo(t),t = 0)): cos(Aθpc(POIo(t),t))]
∫[d(Aθpc(POIo(t),t = 0)): cos(Aθpc(POIo(t),t))/Rpcs(POIo(t),t = 0)^5]
∫[d(Aθpc(POIo(t),t = 0)): Rpcs(POIo(t),t = 0)^( - 5)]
∫[d(Aθpc(POIo(t),t = 0)): <sin,cos>termsofAOpc/Rpcs(POIo(t),t = 0)^n]
∫[d(Aθpc(POIo(t),t = 0)): <sin,cos>termsofAθpc/Rpcs(POIo(t),t = 0)^n]
∂[dAθpc: Rocs(POIo)*sin(Aθoc(POIo))/sin(Aθpc(POIo(t),t))]
diff
diff(0 to θf:  - 2*π*cosθ)
∮[•d(l´): EIodv(POIo,t)]
∮[•d(l´),.over.C: E]
∮[•d(l´),.over.C: (EIpdv(POIp) = 0)]
∮[•d(l´),.over.C: Eip(Rpcv(POIp),t´)]
∮[•d(l´),.over.closedcurveL: EIpdv(POIp) - c/Vonv(particle)*BIodv(POIp(t),t)]
∮[•d(l´),.over.closedcurveL: EIpdv(POIp) - Vonv(particle)/c*BIodv(POIp(t),t)]
dT
dT[d(Aθpc(POIo(t),t)): Rpcs(POIo(t),t)|t = 0]
dT[d(t): BIodv(POIo,t)]
E
∂(E)
e
E0
E0DIFF_ods
E0DIFF_ods(POIo(t),∂(t))
E0DIFF_odv
E0DIFF_odv(POIo(t),∂(t))
E0ods
E0ods(POIo,t)
E0ods(POIo,t = 0)
E0ods(POIo(t),t = 0)
E0odv
E0odv(POIo,t)
E0odv(POIo,t = 0)
E0odv(POIp(t),t)
E0pcv
E0pcv(POIp)
E0pds
E0pds(POIo(t),t)
E0pds(POIp)
E0pdv
E0pdv(POIo(t),t)
E0pdv(POIp)
E0pdv(Rpcv(POIp))
e1
e2
e3
EACH
EI
EI_LENZods
EI_LENZods(POIo,t)
EI_LENZodv
EI_LENZodv(POIo,t)
EI_LENZpds
EI_LENZpds(POIo(t),t)
EI_LENZpdv
EI_LENZpdv(POIo(t),t)
EIods
EIods(POIo,t)
EIods(POIo,t = 0)
EIodv
EIodv(POIo,t)
EIodv(POIo,t = 0)
EIodv(POIp(t),t)
EIpds
EIpds(POIo(t),t)
EIpds(POIp)
EIpds(POIp,t)
EIpdv
EIpdv(POIo(t),t)
EIpdv(POIp)
EIpdv(POIp,t)
EOpdv
ET
ET_BARNods
ET_BARNods(POIo,t)
ET_BARNodv
ET_BARNodv(POIo,t)
ET_BARNpds
ET_BARNpds(POIo(t),t)
ET_BARNpdv
ET_BARNpdv(POIo(t),t)
ETisE0pdv(POIp)
ET_LENZods
ET_LENZods(POIo,t)
ET_LENZodv
ET_LENZodv(POIo,t)
ET_LENZpds
ET_LENZpds(POIo(t),t)
ET_LENZpdv
ET_LENZpdv(POIo(t),t)
ETods
ETods(POIo,t)
ETods(POIo,t = 0)
ETodv
ETodv(POIo,t)
ETodv(POIo,t = 0)
ETodv(POIp(t),t)
ETpds
ETpds(POIo(t),t)
ETpdv
ETpdv(POIo(t),t)
ETpdv(POIp,t)
F
F0
F0(rp,tp)
F(2 - ,1 - )
F(2 - ,1 + )
F(2 + ,1 - )
F(2 + ,1 + )
f_BARNES
f_BARNES(Vonv(particle),Aθpd(POIo(t),t))
f_BARNES(β,lambda)
Fi
Fij
Fi_neutral_dipoles
Fi_neutral_dipoles_nonNew to n2nd
Fi_neutral_dipoles(r)
FLENZodv
FLENZodv(POIo,t)
F_LORENTZpdv
F_LORENTZpdv(POIo,t)
Fp
Fp(Rpcv(POIp),t´)
FTodv
FTodv(POIo,t)
FTpdv
FTpdv(POIo(p),t)
FTpdv(POIo(t),t)
G
g
H
HFLN
i
i´
inf
_inv
_inv(a,b)
_inv(b,c)
Iods
Iods(POIo,t = 0)
J
Jodv
Jodv(POIo,t)
Jodv(POIp,t)
Jodv(POIp(t),t)
Jpdv
Jpdv(POIp,t)
J(Rocv(POIo),t)
J(r,t)
J(x´)
J(x)
∫[∇´•J(x´)/|x - x´|]
∇∫[∇·J(x)/|x - x|]
k
K1
k1
K2
k2
k3
k5
k6
L
l
∂(l´)
∂(l)
LA_01
lambda
lambda(v)
lambda(Vonv)
∮[∂(l): B)
L_cap
Len
∫[•∂(l): ETodv(POIp(t),t)]
Line
Line(particle)
∮[•∂(l),.over.∂Σ: E)
L_pie
L(v)
L(vs)
m
m_e
mg1
mg2
mi1
n
_n
n1
n2
n3
nh
np
p
P1
P2
P2(r)
P3
P3(r)
particle
phi
PI
pi
planeofVonv
POI
POIo
POIo(t)
POIp
POIp(t)
Q
q
Qenclosed
Q(particle)
R
∂(r)
r1
r2
r21
R_cap_edge
RDEpdh
RDEpdh(POIo(t))
RDEpdh(POIo(t),∂(t))
RDEpdh(POIo(t),t)
RDEpds
RDEpds(POIo(t),∂(t))
RFo
RFp
RFt
rhp
RNpch
Roc
Roch
Roch(POIo)
Rocs
Rocs(POIo)
Rocs(POIp(t),t)
Rocv
Rocv(POIo)
Rocv(POIp(t),t)
Rodh
Rodh(POIo)
Rodh(Vonv_X_Rpcv(POIo(t),t))
ROpch
ROpdh
Rpch
Rpch(POIo(t),t)
Rpch(POIo(t),t = 0)
Rpch(POIp)
Rpcs
Rpcs(POIo,t = 0)
Rpcs(POIo(t),t)
Rpcs(POIo(t),t = 0)
Rpcs(POIp)
Rpcs(RFt)
Rpcv
Rpcv(POIo,t = 0)
Rpcv(POIo(t),t)
Rpcv(POIp)
Rpdv
Rpdv(Vonv_X_Rpcv(POIo(t),t))
Rθ0och
Rθ0och(POIo)
Rθ0ocs
Rθ0ocs(POIo)
Rθ0pch
Rθ0pcs
Rθ0pcs(POIo(t),t)
Rθpch
RθPI2pcs
Rφpdh
S
s
sgn
sign
sign[sin(Vonv_X_Rpcv(POIo(t),t))]
sin
sin(Aθoc)
sin(Aθoc(POIo))
sin(Aθoc(POIp(t),t))
sin(Aθoc(POIp(t),t = 0))
sin(Aθod(POIo))
sin(Aθpc)
sin(Aθpc(POIo(t),t))
sin(Aθpc(POIo(t),t = 0))
sin(Aθpc(POIo(t),t)^( - 1))
sin(Aθpc(POIo(t),t)/Rpcs(POIp)^2)
sin(Aθpc(POIo(t),t)*Rpcs(POIp)^( - 2)
sin(Aθpc(POIo(t),t)/Rpcs(POIp)^2*Rodh(Vonv_X_Rpcv(POIo(t),t)))
sin(Aθpc(POIp))
sin(Aθpc(POIt,t = 0))
sin(Aθpc(RFt))
sin(Aθpd(POIo(t),t))
sin(Aθtc(RFt))
sin(Vonv_X_Rpcv(POIo(t),t))
sin(Vonv_X_Rpcv(POIo(t),t))
statC
Sum
sum
sum(k=0 to inf: choose(alpha,k)*x^k)
sum(k = 0.to.inf: choose(alpha,k)*x^k)
sum(n=0 to ∞: choose( - m,n)*z^n)
Sum(n=0 to inf: choose( - m,n)*z^n
t
∂(t)
∂[∂(t): 
t1
∂[∂(t): 1/{Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2}]
∂[∂(t): 1/Rocs(POIp(t),t)]
∂[∂(t): 1/Rpcs(POIo(t),t)]
∂[∂(t): 1/Rpcs(POIo(t),t)^2]
∂[∂(t): 1/Rpcs(POIp)^2]
∂[∂(t): (1 - β^2)/{1 - [β*sin(Aθpd(POIo(t),t))]^2}^(3/2)]
∂[∂(t): 1 - [β*sin(Aθpd(POIo(t),t))]^2]
∂[∂(t): {1 - [β*sin(Aθpd(POIo(t),t))]^2}^( - 3/2)]
∂[∂(t): (1 - λ(Vons(particle)))*Q(particle)*Rpch(POIo(t),t)
∂[∂(t): (1 - λ(Vons(particle)))*Q(particle)/Rpcs(POIo(t),t)^2*Rpch(POIo(t),t)]
t2
∂[∂(t):  - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t]
∂[∂(t): 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t
∂[∂(t): ∮[*∂(Area),.over.Area: BIodv(POIo,t)]•n]
∂[∂(t): Aθpc(POIo(t),t)]
∂[∂(t): Aθpc(POIp)]
∂[∂(t): B]
∂[∂(t): BIodv(POIo,t)]
∂[∂(t): BIodv(POIp(t),t)]
∂[∂(t): BIpdv(POIo(t),t)]
∂[∂(t): BT_BARNodv(POIo,t)]
∂[∂(t): BT_BARNpdv(POIo(t),t)]
∂[∂(t): BT_LENZodv(POIo,t)]
∂[∂(t): BT_LENZpdv(POIo(t),t)
∂[∂(t): BT_LENZpdv(POIo(t),t)]
∂[∂(t): BT_LENZpdv(POIo(t),t) = BT_LENZodv(POIo,t)]
∂[∂(t): BTodv(POIo,t)]
∂[∂(t): BTodv(POIp(t),t)]
∂[∂(t): BTpdv(POIo(t),t)]
∂[∂(t): BTpdv(POIp,t)]
∂[∂(t): cos(Aθoc(POIp(t),t))]
∂[∂(t): cosAθoc(POIp(t),t)]
∂[∂(t): cos(Aθpc(POIo(t),t))]
∂[∂(t): ∮[dArea,.over.S: (BIodv(POIo,t)•Roch(POIo)))
∂[∂(t): ∮[dArea,.over.S: (Bi(ro - vo*t,t)•Roch(POIo)))
∂[∂(t): ∫[dArea,.over.S: Bi(ro - vo*t,t)•Roch(POIo))
∂[∂(t): ∮[dArea,.over.S: (B•n))
∂[∂(t): E]
∂[∂(t): E0ods(POIo)]
∂[∂(t): E0ods(POIo,t)]
∂[∂(t): E0ods(POIo,t = 0)*Rpcs(POIo(t),t)^( - β)*sin(Aθoc(POIo))^a]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθoc(POIp(t),t = 0))^2]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθoc(POIp(t),t = 0))^4]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθoc(POIp(t),t = 0))^6]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθpc(POIo(t),t))^2]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθpc(POIo(t),t))^6]
∂[∂(t): E0ods(POIo,t = 0)*sin(Aθpc(POIo(t),t))^8]
∂[∂(t): E0ods(POIo,t)*15/8*β^4*sin(Aθpc(POIo(t),t))^4*sin(Aθpc(POIo(t),t))]
∂[∂(t): E0ods(POIo,t)*(3/2*β^2*sin(Aθpc(POIo(t),t))^2 + 15/8*β^4*sin(Aθpc(POIo(t),t))^4)*sin(Aθpc(POIo(t),t))]
∂[∂(t): E0ods(POIo,t)*3/2*β^2*sin(Aθpc(POIo(t),t))^2*sin(Aθpc(POIo(t),t))]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^1]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^2]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^3]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^5]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^6]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^8]
∂[∂(t): E0ods(POIo,t)*sin(Aθpc(POIo(t),t))^a]
∂[∂(t): E0ods(POIo,t)*λ(Vons(particle))*(1 + 3/2*β^2*sin(Aθpc(POIo(t),t))^2)*sin(Aθpc(POIo(t),t))]
∂[∂(t): E0ods(POIo,t)*λ(Vons(particle))*1*sin(Aθpc(POIo(t),t))]
∂[∂(t): E0ods(POIo,t)*λ(Vons(particle))*3/2*β^2*sin(Aθpc(POIo(t),t))^2*sin(Aθpc(POIo(t),t))]
∂[∂(t): |E0odv(POIo,t)|]
∂[∂(t): E0odv(POIo,t)]
∂[∂(t): E0pds(POIo(t),t)]
∂[∂(t): E0pds(POIo(t),t),t]
∂[∂(t): |E0pdv(POIo(t),t)|]
∂[∂(t): E0pdv(POIo(t),t)]
∂[∂(t): E0pdv(POIp)]
∂[∂(t): EI_LENZods(POIo,t)]
∂[∂(t): |EI_LENZodv(POIo,t)|]
∂[∂(t): EI_LENZodv(POIo,t)]
∂[∂(t): EI_LENZpds(POIo(t),t)]
∂[∂(t): EI_LENZpdv(POIo(t),t)]
∂[∂(t): EIods(POIo,t)]
∂[∂(t): EIods(POIo,t = 0)]
∂[∂(t): EIodv(POIo,t)]
∂[∂(t): EIpds(POIo(t),t)]
∂[∂(t): ET_BARNodv(POIo,t)]
∂[∂(t): ET_BARNpdv(POIo(t),t)]
∂[∂(t): ET_LENZodv(POIo,t)]
∂[∂(t): ET_LENZpdv(POIo(t),t)]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))*E0odv(POIo,t)]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))*E0pdv(POIo(t),t)]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))*|Q(particle)|*Vons(particle)/c*sin(Aθpc(POIo(t),t))/Rpcs(POIp)^2*Rodh(Vonv_X_Rpcv(POIo(t),t))]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))*sin(Aθpc(POIo(t),t)/Rpcs(POIp)^2]
∂[∂(t): f_BARNES(Vonv(particle),Aθpd(POIo(t),t))*sin(Aθpc(POIo(t),t))/Rpcs(POIp)^2]
∂[∂(t): K1]
∂[∂(t): K2]
∂[∂(t): Q(particle)/Rpcs(POIo(t),t)]
∂[∂(t): Q(particle)/Rpcs(POIo(t),t)^2]
∂[∂(t): Q(particle)/Rpcs(POIo(t),t)^2 - EIods(POIo,t)]
∂[∂(t): Q(particle)/Rpcs(POIo(t),t)^2 - EIpds(POIo(t),t)]
∂[∂(t): |Q(particle)/Rpcs(POIo(t),t)^2*Rpch(POIo(t),t)|]
∂[∂(t): |Q(particle)|/Rpcs(POIp)^2]
∂[∂(t): Q(particle)/Rpcs(POIp)^2]
∂[∂(t): Rocs(POIo)]
∂[∂(t): Rocs(POIo)^2]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2}]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo)*Vons(particle)*t + [Vons(particle)*t]^2}]
∂[∂(t): Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2]
∂[∂(t): Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo)*Vons(particle)*t + [Vons(particle)*t]^2]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2}^( - 1/2)]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo)*Vons(particle)*t + [Vons(particle)*t]^2}^( - 1/2)]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2}^( - 3/2)]
∂[∂(t): {Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo)*Vons(particle)*t + [Vons(particle)*t]^2}^( - 3/2)]
∂[∂(t): [Rocs(POIo)*cos(Aθoc(POIo)) - Vons(particle)*t]
∂[∂(t): Rocs(POIo)*cos(Aθoc(POIo)) - Vons(particle)*t]
∂[∂(t): Rocs(POIp(t),t)]
∂[∂(t): [Rocs(POIp(t),t))*cosAθoc(POIp(t),t)]
∂[∂(t): Rocs(POIp(t),t)*cosAθoc(POIp(t),t)]
∂[∂(t): [Rocs(POIp(t),t)*cosAθoc(POIp(t),t)]^2]
∂[∂(t): Rocs(POIp(t),t)*sin(Aθoc(POIp(t),t))]
∂[∂(t): Rocs(POIp(t),t)*sinAθoc(POIp(t),t)]
∂[∂(t): [(Rocs(POIp(t),t)*sinAθoc(POIp(t),t)]^2]
∂[∂(t): [(Rocs(POIp(t),t)*sinAθoc(POIp(t),t)]^2 + [Rocs(POIp(t),t)*cosAθoc(POIp(t),t)]^2]
∂[∂(t): {(Rocs(POIp(t),t)*sinAθoc(POIp(t),t)]^2 + [Rocs(POIp(t),t)*cosAθoc(POIp(t),t)]^2]
∂[∂(t): Rocv(POIo)]
∂[∂(t): Rocv(POIo) - Vonv(particle)*t]
∂[∂(t): Rocv(POIp(t)]
∂[∂(t): |Rocv(POIp(t),t)|]
∂[∂(t): Rocv(POIp(t),t)]
∂[∂(t): Rocv(POIp(t)] = Vonv(particle)
∂[∂(t): Rodh(Vonv_X_Rpcv(POIo(t),t))]
∂[∂(t): Rpch(POIo(t),t)]
∂[∂(t): Rpch(POIo(t),t)/{Rocs(POIo)^2 - 2*Rocs(POIo)*cos(Aθoc(POIo))*Vons(particle)*t + [Vons(particle)*t]^2}]
∂[∂(t): |Rpch(POIo(t),t)/Rpcs(POIo(t),t)^2|]
∂[∂(t): Rpch(POIo(t),t)/Rpcs(POIo(t),t)^2]
∂[∂(t): Rpch(POIp)]
∂[∂(t): Rpcs(POIo(t),t)]
∂[∂(t): Rpcs(POIo(t),t)^( - 1)*sin(Aθoc(POIo))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 1)*sin(Aθoc(POIo))^6]
∂[∂(t): Rpcs(POIo(t),t)^( - 2)]
∂[∂(t): Rpcs(POIo(t),t)^( - 2)*sin(Aθpc(POIo(t),t))^2]
∂[∂(t): Rpcs(POIo(t),t)^( - 2)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 3)]
∂[∂(t): Rpcs(POIo(t),t)^( - 3)*sin(Aθpc(POIo(t),t))^1]
∂[∂(t): Rpcs(POIo(t),t)^( - 3)*sin(Aθpc(POIo(t),t))^3]
∂[∂(t): Rpcs(POIo(t),t)^( - 3)*sin(Aθpc(POIo(t),t))^5]
∂[∂(t): Rpcs(POIo(t),t)^( - 4)*sin(Aθpc(POIo(t),t))^1]
∂[∂(t): Rpcs(POIo(t),t)^( - 4)*sin(Aθpc(POIo(t),t))^2]
∂[∂(t): Rpcs(POIo(t),t)^( - 4)*sin(Aθpc(POIo(t),t))^3]
∂[∂(t): Rpcs(POIo(t),t)^( - 4)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 4)*sin(Aθpc(POIo(t),t))^6]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)*sin(Aθpc(POIo(t),t))]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)*sin(Aθpc(POIo(t),t))^1]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)*sin(Aθpc(POIo(t),t))^2]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 5)*sin(Aθpc(POIo(t),t))^5]
∂[∂(t): Rpcs(POIo(t),t)^( - 6)]
∂[∂(t): Rpcs(POIo(t),t)^( - 6)*sin(Aθpc(POIo(t),t))^3]
∂[∂(t): Rpcs(POIo(t),t)^( - 6)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 6)*sin(Aθpc(POIo(t),t))^6]
∂[∂(t): Rpcs(POIo(t),t)^( - 7)]
∂[∂(t): Rpcs(POIo(t),t)^( - 7)*sin(Aθpc(POIo(t),t))^4]
∂[∂(t): Rpcs(POIo(t),t)^( - 7)*sin(Aθpc(POIo(t),t))^5]
∂[∂(t): Rpcs(POIo(t),t)^( - 8)*sin(Aθpc(POIo(t),t))^5]
∂[∂(t): Rpcs(POIo(t),t)^( - 8)*sin(Aθpc(POIo(t),t))^6]
∂[∂(t): Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t))]
∂[∂(t): [Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t))]^2]
∂[∂(t): {Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t))}^2]
∂[∂(t): (Rpcs(POIo(t),t)*sin(Aθpc(POIo(t),t)))^2]
∂[∂(t): [(Rpcs(POIo(t),t)*sin(Aθpc(POIo(t),t))]^2]
∂[∂(t): (Rpcs(POIo(t),t)*sin(Aθpc(POIo(t),t)))^2 + (Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t)))^2]
∂[∂(t): [(Rpcs(POIo(t),t)*sin(Aθpc(POIo(t),t))]^2 + [Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t))]^2]
∂[∂(t): {(Rpcs(POIo(t),t)*sin(Aθpc(POIo(t),t))]^2 + [Rpcs(POIo(t),t)*cos(Aθpc(POIo(t),t))]^2}]
∂[∂(t): Rpcs(POIo(t),t)^( - β)*sin(Aθpc(POIo(t),t))^a]
∂[∂(t): Rpcs(POIp)]
∂[∂(t): Rpcs(POIp)^( - 2)]
∂[∂(t): Rpcs(POIp)^( - 3)]
∂[∂(t): Rpcv(POIo(t)]
∂[∂(t): |Rpcv(POIo(t),t)|]
∂[∂(t): |Rpcv(POIo(t),t)]
∂[∂(t): Rpcv(POIo(t),t)]
∂[∂(t): |Rpcv(POIp)|]
∂[∂(t): Rpcv(POIp)]
∂[∂(t): Rpcv(POIp) + Vonv(particle)*t]
∂[∂(t): Rθ0ocs(POIp(t),t)]
∂[∂(t): Rθ0pcs(POIo(t),t)]
∂[∂(t): RθPI2pcs(POIo(t),t)/Rpcs(POIo(t),t)]
∂[∂(t): sin(Aθoc(POIp(t),t))]
∂[∂(t): sinAθoc(POIp(t),t)]
∂[∂(t): sin(Aθpc(POIo(t),t))]
∂[∂(t): sin(Aθpc(POIo(t),t))^2]
∂[∂(t): sin(Aθpc(POIo(t),t))^2*Rpcs(POIo(t),t))
∂[∂(t): sin(Aθpc(POIo(t),t))^2*Rpcs(POIo(t),t)^( - 2)]
∂[∂(t): sin(Aθpc(POIo(t),t))^3]
∂[∂(t): sin(Aθpc(POIo(t),t))^4]
∂[∂(t): sin(Aθpc(POIo(t),t))^4*Rpcs(POIo(t),t))
∂[∂(t): sin(Aθpc(POIo(t),t))^4*Rpcs(POIo(t),t)^( - 2)]
∂[∂(t): sin(Aθpc(POIo(t),t))^a*Rpcs(POIo(t),t))
∂[∂(t): sin(Aθpc(POIo(t),t))^a*Rpcs(POIo(t),t)^( - β)]
∂[∂(t): sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))]
∂[∂(t): sin(Aθpd(POIo(t),t))]
∂[∂(t): Vons(particle)/c*sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))]
∂[∂(t): Vons(particle)/c*sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))*[Q(particle)/Rpcs(POIo(t),t)^2 - EIods(POIo,t)]]
∂[∂(t): Vons(particle)/c*sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))*[Q(particle)/Rpcs(POIo(t),t))^2 - EIods(POIo,t)]
∂[∂(t): Vons(particle)/c*sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))*[Q(particle)/Rpcs(POIo(t),t)^2 - EIpds(POIo(t),t)]]
∂[∂(t): Vons(particle)/c*sin(Aθpc(POIo(t),t))*Rodh(Vonv_X_Rpcv(POIo(t),t))*[Q(particle)/Rpcs(POIo(t),t))^2 - EIpds(POIo(t),t))
∂[∂(t): Vons(particle)*t]
∂[∂(t): [Vons(particle)*t]^2]
∂[∂(t): Vonv(particle)*t]
tx
∂[∂(t): β*sin(Aθpd(POIo(t),t))]
∂[∂(t): [β*sin(Aθpd(POIo(t),t))]^2]
∂[∂(t):  - λ(Vons(particle))*E0odv(POIo,t)]
∂[∂(t): | - λ(Vons(particle))*Q(particle)/Rpcs(POIo(t),t))
∂[∂(t): | - λ(Vons(particle))*Q(particle)/Rpcs(POIo(t),t)^2*Rpch(POIo(t),t)|]
v
Voch
Vodv
Vodv(particle)
Vons
Vons(particle)
Vonv
Vonv(particle)
Vonv(POIo)
Vonv_X_Rpcv
Vonv_X_Rpcv(POIo(t),t)
Vpnv
Vpnv(POIp)
w1
w2
X
x
x´
y
z
β
ε0
θ
∂(θ)
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): 1/Rocs(POIo)/c*sin(Aθoc(POIp(t),t = 0))*∂[∂(t): K1])
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): 1/Rocs(POIo)/c*sin(Aθoc(POIp(t),t = 0))*∂[∂(t): K2])
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): 1/Rocs(POIo)/c*sin(Aθpc(POIo(t),t))*∂[∂(t): EIods(POIo,t)])
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^1]
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^2]
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^3]
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): /c/Rocs(POIo)^1*sin(Aθoc(POIp(t),t = 0))*
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): /c/Rocs(POIo)^1*sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))]
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): /c/Rocs(POIo)^1*sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^1]
∫[∂(θ),0.to.Aθpc(POIo(t),t = 0): /c/Rocs(POIo)^1*sin(Aθoc(POIp(t),t = 0))*cos(Aθtc(POIp(t),t = 0))*sin(Aθoc(POIp(t),t = 0))^2]
θf
λ
λ(Vons(particle))
μ0
π
ρ
∂Σ
φ
φ_cap
φ_pie
ψ
ψ(r)
Ω_cap
Ω_full_sphere