def getEcfromWeightedKDE(lonOrMesh=None,latOrMesh=None,ZZpdfPframe=None,delta=None,
kt=None,populationClass=None,polygonClass=None,desval=0.0,boundsOption=1):
areapop = delta**2.0
if populationClass.keyDen ==None:
popMatrix,xmatlocations,ymatlocations = SMF.agsgetdensity(populationClass.keyPop,populationClass.keyArea,
populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,
populationClass.xMax,populationClass.yMax,
boundsOption,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
populationClass.yMax,boundsOption)
if polygonClass!=None:
xpol = polygonClass.xy[0]
ypol = polygonClass.xy[1]
matout = SMF.checkpolygon(lonOrMesh,latOrMesh,xpol,ypol)
#print matout
popMatrix = SMF.updatematpolygon(lonOrMesh,latOrMesh,xpol,ypol,popMatrix,desval)
#print xpol,ypol
#print popMatrix
#print lonOrMesh.max(),lonOrMesh.min(),latOrMesh.min(),latOrMesh.max()
Ec,Ecmatrix = getEc(popMatrix,ZZpdfPframe,areapop)
Ec = Ec*kt
Ecmatrix = Ecmatrix*kt
return Ec,Ecmatrix
def calculateEc(lonlat,nSamples,delta,nsigma,key,xllcorner,yllcorner,cellsize,xMax,yMax,boundsOption,ncols,nrows,nPieces,arefMean,pdfoption):
# this version uses the rotated pdf (actual lon lat coordinates). Gets pdf in regular frame, and integrates it. Inneficient for big ranges of lat lon (memory intensive)
tempval = .3048 #1ft to meters
PframeVals,OrFrameVals,transformDetails,areaInt = getPDF(lonlat,pdfoption=pdfoption,delta=delta)
[lonPMesh,latPMesh,ZZpdf] = PframeVals
[lonMesh,latMesh,ZZpdfN] = OrFrameVals
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,lonMesh,latMesh,xMax,yMax,boundsOption)
Ec = nPieces*(SMF.calculateec(ZZpdf,areaInt,arefMean,tempval,popMatrix))
return (Ec,lonMesh,latMesh,ZZpdf)
def calculateEc(lonlat,nSamples,delta,nsigma,key,xllcorner,yllcorner,cellsize,xMax,yMax,boundsOption,ncols,nrows,nPieces,arefMean,pdfoption):
# this version uses the rotated pdf (actual lon lat coordinates). Gets pdf in regular frame, and integrates it. Inneficient for big ranges of lat lon (memory intensive)
areapop = delta*delta
tempval = .3048 #1ft to meters
lonMesh,latMesh,ZZpdf,XX,YY,xlen,ylen,transformDetails = getPDF(lonlat,nSamples,delta,nsigma,pdfoption)
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,lonMesh,latMesh,xMax,yMax,boundsOption,[ncols,nrows,ylen,xlen])
Ec = nPieces*(SMF.calculateec(ZZpdf,areapop,arefMean,tempval,popMatrix,[ylen,xlen]))
return (Ec,lonMesh,latMesh,ZZpdf)
def calculateEcRotatedFrame(lonlat,nSamples,delta,nsigma,key,xllcorner,yllcorner,cellsize,xMax,yMax,boundsOption,ncols,nrows,nPieces,arefMean,pdfoption):
# calculates Ec by calculating pdf in P frame, then get corresponding population density for P frame.
sys.path.append("../SafetyMetrics")
import safetyMetrics as SMF
# this version uses the rotated pdf (actual lon lat coordinates)
areapop = delta*delta
tempval = .3048 #1ft to meters
lonPMesh,latPMesh,ZZpdfPframe,lonOrMesh,latOrMesh,xlen,ylen,transformDetails = getPDF2(lonlat,nSamples,delta,nsigma,pdfoption)
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,lonOrMesh,latOrMesh,xMax,yMax,boundsOption,[ncols,nrows,ylen,xlen])
Ec = nPieces*(SMF.calculateec(ZZpdfPframe,areapop,arefMean,tempval,popMatrix,[ylen,xlen]))
return (Ec,lonPMesh,latPMesh,ZZpdfPframe)
def calculateEc(lonlat, nSamples, delta, nsigma, key, xllcorner, yllcorner,
cellsize, xMax, yMax, boundsOption, ncols, nrows, nPieces,
arefMean, pdfoption):
# this version uses the rotated pdf (actual lon lat coordinates). Gets pdf in regular frame, and integrates it. Inneficient for big ranges of lat lon (memory intensive)
tempval = .3048 #1ft to meters
PframeVals, OrFrameVals, transformDetails, areaInt = getPDF(
lonlat, pdfoption=pdfoption, delta=delta)
[lonPMesh, latPMesh, ZZpdf] = PframeVals
[lonMesh, latMesh, ZZpdfN] = OrFrameVals
popMatrix = SMF.agsgetvals(key, xllcorner, yllcorner, cellsize, lonMesh,
latMesh, xMax, yMax, boundsOption)
Ec = nPieces * (SMF.calculateec(ZZpdf, areaInt, arefMean, tempval,
popMatrix))
return (Ec, lonMesh, latMesh, ZZpdf)
def checkStateVector(Vmag,gamma,beta,lat,long,alt,lonRef,latRef,mainVelRelOption,Vdebris,ballMin,ballMax,altitudeList,densitylist,key,xllcorner,yllcorner,cellsize,nrows, ncols,xMax,yMax):
#################################################### MAIN CALL TO DEBRIS PROPAGATOR #############################################################################
#print ballMax,ballMin
initialposition = np.array([lat,long,alt,lonRef,latRef])
mainVel = np.array([Vmag+Vdebris,gamma,beta])
#mainVelRelOption = 1 # 0 for main Vehicle inertial velocity, 1 for main vehicle relative to rotating planet velocity
debrisRelVel = np.array([0,0,0])
loverd = 0
## Debris Modeling Options
cloption = 0# 1 =>using CL value instead of LoverD for computing Lift force, 0 => use LoverD value for lift calculation
planetModel = 0#0 for spherical, 1 for oblate
geoptions = 0#
atmosoption = -1# -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
cl = 0.
aref = 1.
mass = 1.
cd = mass/(ballMin*aref)
minfcd = 1.
minfcl = 1.
#altitudeList = 1.
#densitylist = 1.
#ulist = 1.
#vlist = 1.
#wlist = 1.
filename = 'piece1'
#print ballMin,ballMax
ncd = 1
ncl = 1
nlist = len(densitylist)
zerolist = np.zeros((nlist))
ulist = zerolist
vlist = zerolist
wlist = zerolist
#print nlist
finalConditions = DP.debrispropagation(initialposition, mainVel,mainVelRelOption,
debrisRelVel, mass,aref, # debris piece state vector wrt to main vehicle
minfcd,cd,cloption,minfcl,cl,loverd, # aerodynamic inputs
atmosoption,altitudeList, # dt for RK4, angrate for tumbling debris. Atmospheric options
densitylist,ulist,vlist,wlist, # atmospheric profile
geoptions,filename,planetModel,[ncd,ncl,nlist]) # geoptions & filename used for Google Earth visualiation. ncd => length of CD array
# ncl => length of CL array. nlist=> length of atmospheric data array (altitude)
filename = 'piece2'
altitudefinal = finalConditions[0]
latitudefinal = finalConditions[1]
longitudefinal = finalConditions[2]
flag = finalConditions[8]
vrelmag = finalConditions[3]
mainVel = np.array([Vmag-Vdebris,gamma,beta])
cd = mass/(ballMax*aref)
atmosoption = 1# -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
lowerConditions = DP.debrispropagation(initialposition, mainVel,mainVelRelOption,
debrisRelVel, mass,aref, # debris piece state vector wrt to main vehicle
minfcd,cd,cloption,minfcl,cl,loverd, # aerodynamic inputs
atmosoption,altitudeList, # dt for RK4, angrate for tumbling debris. Atmospheric options
densitylist,ulist,vlist,wlist, # atmospheric profile
geoptions,filename,planetModel,[ncd,ncl,nlist]) # geoptions & filename used for Google Earth visualiation. ncd => length of CD array
# ncl => length of CL array. nlist=> length of atmospheric data array (altitude)
altitudeLower = lowerConditions[0]
latitudeLower = lowerConditions[1]
longitudeLower = lowerConditions[2]
flagLower = lowerConditions[8]
vrelmagLower = lowerConditions[3]
if (altitudefinal<0)and(altitudeLower<0):
# calculating radius
thetaLength = 20
rLength = 20
deltaLon = longitudefinal - longitudeLower
deltaLat = latitudefinal - latitudeLower
rmax = max(1.,(deltaLat**2+deltaLat**2)**.5) #+ .5 # .5 added to be conservative
rmin = 0.0
centerLon = .5*(longitudefinal + longitudeLower)
centerLat = .5*(latitudefinal + latitudeLower)
theta = np.linspace(0,2*np.pi,thetaLength)
r = np.linspace(rmin,rmax,rLength)
rMesh,thetaMesh = np.meshgrid(r,theta)
xlon = rMesh*np.cos(thetaMesh) + centerLon
ylat = rMesh*np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,xlon,ylat,xMax,yMax,boundsOption,[ncols,nrows,rLength,thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else :
dangerZone = 1
elif (altitudeLower>0)and(altitudefinal>0):
dangerZone = 0 # debris will be in orbit
elif altitudeLower<0 :
thetaLength = 20
rLength = 20
rmax = 2.5 # conservative bound for upper level case
rmin = 0.0
centerLon = longitudeLower
centerLat = latitudeLower
theta = np.linspace(0,2*np.pi,thetaLength)
r = np.linspace(rmin,rmax,rLength)
rMesh,thetaMesh = np.meshgrid(r,theta)
xlon = rMesh*np.cos(thetaMesh) + centerLon
ylat = rMesh*np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,xlon,ylat,xMax,yMax,boundsOption,[ncols,nrows,rLength,thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else :
dangerZone = 1
print rmax,val,centerLon,centerLat
# print xlon
# print ylat
return dangerZone
def checkStateVector(Vmag, gamma, beta, lat, long, alt, lonRef, latRef,
mainVelRelOption, Vdebris, ballMin, ballMax, altitudeList,
densitylist, key, xllcorner, yllcorner, cellsize, nrows,
ncols, xMax, yMax):
#################################################### MAIN CALL TO DEBRIS PROPAGATOR #############################################################################
#print ballMax,ballMin
initialposition = np.array([lat, long, alt, lonRef, latRef])
mainVel = np.array([Vmag + Vdebris, gamma, beta])
#mainVelRelOption = 1 # 0 for main Vehicle inertial velocity, 1 for main vehicle relative to rotating planet velocity
debrisRelVel = np.array([0, 0, 0])
loverd = 0
## Debris Modeling Options
cloption = 0 # 1 =>using CL value instead of LoverD for computing Lift force, 0 => use LoverD value for lift calculation
planetModel = 0 #0 for spherical, 1 for oblate
geoptions = 0 #
atmosoption = -1 # -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
cl = 0.
aref = 1.
mass = 1.
cd = mass / (ballMin * aref)
minfcd = 1.
minfcl = 1.
#altitudeList = 1.
#densitylist = 1.
#ulist = 1.
#vlist = 1.
#wlist = 1.
filename = 'piece1'
#print ballMin,ballMax
ncd = 1
ncl = 1
nlist = len(densitylist)
zerolist = np.zeros((nlist))
ulist = zerolist
vlist = zerolist
wlist = zerolist
#print nlist
finalConditions = DP.debrispropagation(
initialposition,
mainVel,
mainVelRelOption,
debrisRelVel,
mass,
aref, # debris piece state vector wrt to main vehicle
minfcd,
cd,
cloption,
minfcl,
cl,
loverd, # aerodynamic inputs
atmosoption,
altitudeList, # dt for RK4, angrate for tumbling debris. Atmospheric options
densitylist,
ulist,
vlist,
wlist, # atmospheric profile
geoptions,
filename,
planetModel,
[ncd, ncl, nlist]
) # geoptions & filename used for Google Earth visualiation. ncd => length of CD array
# ncl => length of CL array. nlist=> length of atmospheric data array (altitude)
filename = 'piece2'
altitudefinal = finalConditions[0]
latitudefinal = finalConditions[1]
longitudefinal = finalConditions[2]
flag = finalConditions[8]
vrelmag = finalConditions[3]
mainVel = np.array([Vmag - Vdebris, gamma, beta])
cd = mass / (ballMax * aref)
atmosoption = 1 # -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
lowerConditions = DP.debrispropagation(
initialposition,
mainVel,
mainVelRelOption,
debrisRelVel,
mass,
aref, # debris piece state vector wrt to main vehicle
minfcd,
cd,
cloption,
minfcl,
cl,
loverd, # aerodynamic inputs
atmosoption,
altitudeList, # dt for RK4, angrate for tumbling debris. Atmospheric options
densitylist,
ulist,
vlist,
wlist, # atmospheric profile
geoptions,
filename,
planetModel,
[ncd, ncl, nlist]
) # geoptions & filename used for Google Earth visualiation. ncd => length of CD array
# ncl => length of CL array. nlist=> length of atmospheric data array (altitude)
altitudeLower = lowerConditions[0]
latitudeLower = lowerConditions[1]
longitudeLower = lowerConditions[2]
flagLower = lowerConditions[8]
vrelmagLower = lowerConditions[3]
if (altitudefinal < 0) and (altitudeLower < 0):
# calculating radius
thetaLength = 20
rLength = 20
deltaLon = longitudefinal - longitudeLower
deltaLat = latitudefinal - latitudeLower
rmax = max(1., (deltaLat**2 +
deltaLat**2)**.5) #+ .5 # .5 added to be conservative
rmin = 0.0
centerLon = .5 * (longitudefinal + longitudeLower)
centerLat = .5 * (latitudefinal + latitudeLower)
theta = np.linspace(0, 2 * np.pi, thetaLength)
r = np.linspace(rmin, rmax, rLength)
rMesh, thetaMesh = np.meshgrid(r, theta)
xlon = rMesh * np.cos(thetaMesh) + centerLon
ylat = rMesh * np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key, xllcorner, yllcorner, cellsize, xlon,
ylat, xMax, yMax, boundsOption,
[ncols, nrows, rLength, thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else:
dangerZone = 1
elif (altitudeLower > 0) and (altitudefinal > 0):
dangerZone = 0 # debris will be in orbit
elif altitudeLower < 0:
thetaLength = 20
rLength = 20
rmax = 2.5 # conservative bound for upper level case
rmin = 0.0
centerLon = longitudeLower
centerLat = latitudeLower
theta = np.linspace(0, 2 * np.pi, thetaLength)
r = np.linspace(rmin, rmax, rLength)
rMesh, thetaMesh = np.meshgrid(r, theta)
xlon = rMesh * np.cos(thetaMesh) + centerLon
ylat = rMesh * np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key, xllcorner, yllcorner, cellsize, xlon,
ylat, xMax, yMax, boundsOption,
[ncols, nrows, rLength, thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else:
dangerZone = 1
print rmax, val, centerLon, centerLat
# print xlon
# print ylat
return dangerZone
def calculateEcMatrixShelteringWeighted(lonlat,delta,populationClass,
boundsOption,weightArray,massSum,massTotal,
polygon=None,ArefList = None,massList=None,CDref = 1.0,debrisClass = None):
# calculates Ec by calculating pdf in P frame, then get corresponding population density for P frame.
#massSum is the added mass for all sampled debris pieces
#massTotal is the actual physical mass for the debris group...constrained by the vehicle size
# nSamplesModeled is not necessary equal to the number of samples in lonlat..because
#some pieces might be in orbit, or would not cause a casualty. It is needed to calculate the weights in the KDE
import safetyMetrics as SMF
# this version uses the rotated pdf (actual lon lat coordinates)
nSamples,otherdim = np.shape(lonlat)
if nSamples==0:
return 0,[],[],[]
popOrigArea = populationClass.cellsize**2
areapop = delta*delta
#mc = massSum/float(nSamplesModeled)
#kt = massTotal/mc
#print kt
kt = (massTotal/massSum)*float(nSamples) # this takes into account that sometimes pieces of debris do not make it to the ground (e.g in orbit).
# It adjusts the (1/n_pdf) term in the pdf calculation to 1/n_modeled
#exit()
print 'setting kde'
lonlatPframe,lonOrMesh,latOrMesh,U,xMeshP,yMeshP,transformDetails,areaInt = pdfSetup(lonlat=lonlat,nSamples=nSamples,
delta=delta,pdfoption='kde')
ylen,xlen = np.shape(xMeshP)
if populationClass.keyDen ==None:
popMatrix,xmatlocations,ymatlocations = SMF.agsgetdensity(populationClass.keyPop,populationClass.keyArea,
populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,
populationClass.xMax,populationClass.yMax,
boundsOption,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
populationClass.yMax,boundsOption)
xmatlocations = []
ymatlocations = []
if polygon!=None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonOrMesh,latOrMesh,xpol,ypol)
desval = 0.0
popMatrix = SMF.updatematpolygon(lonOrMesh,latOrMesh,xpol,ypol,popMatrix,desval)
'''
print matout
print lonOrMesh
print latOrMesh
plt.plot(lonlat[:,0],lonlat[:,1],'x')
plt.plot(xpol,ypol)
plt.show()
'''
# adjusting population density maps to account for exclusion zones
# a
'''
plt.figure()
CS=plt.contourf(lonOrMesh,latOrMesh,popMatrix)
locs,labels = plt.xticks()
plt.xticks(locs, map(lambda x: "%.8f" % x, locs))
locs,labels = plt.yticks()
plt.yticks(locs, map(lambda x: "%.8f" % x, locs))
plt.colorbar(CS)
plt.show()
'''
print 'pop1Mat',np.sum(popMatrix)
if np.sum(popMatrix)>0.0:
'''
pdfoption = 'kde'
lonPMesh,latPMesh,ZZpdfPframe,lonOrMesh,latOrMesh = getPDFfromSetup(nSamples,pdfoption,lonlatPframe,lonOrMesh,latOrMesh,U,xMeshP,yMeshP)
levels = np.linspace(np.min(ZZpdfPframe),np.max(ZZpdfPframe),30)
plt.figure()
plt.contourf(lonPMesh,latPMesh,ZZpdfPframe,50)
plt.plot(lonlatPframe[:,0],lonlatPframe[:,1],'rx')
'''
# now divide into ballistic coefficient groups
nAref,nmass,nlonlat,nweightArray =groupBallisticCoeff(ArefList=ArefList,massList=massList,lonlat=lonlat,weight=weightArray,CDref=CDref)
nSamplesTotal = 0.0
ZZpdfPframe = 0.0
for index in range(len(nAref)):
lonlatPframe = originalFrame2Pframe(nlonlat[index],U)
weightArray = nweightArray[index]
nSamplesloc = len(weightArray)
nSamplesTotal = nSamplesloc + nSamplesTotal
print nSamplesloc
if nSamplesloc<=10:
print 'Error: Adjust debris catalog. Current samples for this subgroup (rearranged by ballistic coeff) <10 samples '
print 'Try subdiviging this debris group or add more samples'
print 'Check debris catalog',debrisClass.name
exit(2)
#print lonlatPframe
lonPMesh,latPMesh,ZZpdfPframetemp,lonOrMesh,latOrMesh = getWeightedPDFfromSetup(nSamplesloc,lonlatPframe,lonOrMesh,latOrMesh,U,xMeshP,yMeshP,weightArray)
print 'temp1PDF',np.sum(ZZpdfPframetemp)
ZZpdfPframe = float(nSamplesloc)*ZZpdfPframetemp + ZZpdfPframe
minDen = np.min(popMatrix[popMatrix>0])
popMatrix[popMatrix<=0.] = 0.0#0.000000001*minDen
ZZpdfPframe = (1./float(nSamplesTotal))*ZZpdfPframe
Ec,Ecmatrix = getEc(popMatrix,ZZpdfPframe,areaInt)
Ec = Ec*kt
Ecmatrix = Ecmatrix*kt
else:
print 'No pdf calc',np.sum(popMatrix)
Ec = 0.0
#Ec2 = 0.0
xmatlocations = [1]
ymatlocations = [1]
Ecmatrix = np.zeros((1,1))
return Ec,Ecmatrix,xmatlocations,ymatlocations#,Ec2
def checkStateVector(stateVec, Vdeb, planetModel, dt, thetag, populationData):
key, xllcorner, yllcorner, cellsize, xMax, yMax, ncols, nrows = populationData
# def checkStateVector(Vmag,gamma,beta,lat,long,alt,lonRef,latRef,mainVelRelOption,Vdebris,ballMin,ballMax,altitudeList,densitylist,key,xllcorner,yllcorner,cellsize,nrows, ncols,xMax,yMax):
massval = 1.0
arefval = 1.0
minfcdval = 1.0
CDval = 1.0
minfclval = 1.0
CLval = 0.0
altitudeList = [1.0]
densityList = 1.0
uList = 1.0
vList = 1.0
wList = 1.0
ncdval = 1
nclval = 1
nlist = 1
finalConditions = dp.debrispropagation(initialstate=stateVec,
debrisvel=Vdeb,
mass=massval,
sref=arefval,
minfcd=minfcdval,
cd=CDval,
cloption=1,
minfcl=minfclval,
cl=CLval,
loverd=0,
atmosoption=-1,
altitudelist=altitudeList,
densitylist=densityList,
ulist=uList,
vlist=vList,
wlist=wList,
geoptions=0,
filename='none',
planetmodel=planetModel,
dtinterval=dt,
thetag0=thetag,
ncd=ncdval,
ncl=nclval,
nlist=len(altitudeList))
altitudefinal = finalConditions[0]
latitudefinal = finalConditions[1]
longitudefinal = finalConditions[2]
ballMin = 0.1
cd = massval / (ballMin * arefval)
atmosoption = 1 # -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
lowerConditions = dp.debrispropagation(initialstate=stateVec,
debrisvel=Vdeb,
mass=massval,
sref=arefval,
minfcd=minfcdval,
cd=CDval,
cloption=1,
minfcl=minfclval,
cl=CLval,
loverd=0,
atmosoption=0,
altitudelist=altitudeList,
densitylist=densityList,
ulist=uList,
vlist=vList,
wlist=wList,
geoptions=0,
filename='none',
planetmodel=planetModel,
dtinterval=dt,
thetag0=thetag,
ncd=ncdval,
ncl=nclval,
nlist=len(altitudeList))
altitudeLower = lowerConditions[0]
latitudeLower = lowerConditions[1]
longitudeLower = lowerConditions[2]
if (altitudefinal < 0) and (altitudeLower < 0):
# calculating radius
thetaLength = 20
rLength = 20
deltaLon = longitudefinal - longitudeLower
deltaLat = latitudefinal - latitudeLower
rmax = max(1., (deltaLon**2 +
deltaLat**2)**.5) #+ .5 # .5 added to be conservative
rmin = 0.0
centerLon = .5 * (longitudefinal + longitudeLower)
centerLat = .5 * (latitudefinal + latitudeLower)
theta = np.linspace(0, 2 * np.pi, thetaLength)
r = np.linspace(rmin, rmax, rLength)
rMesh, thetaMesh = np.meshgrid(r, theta)
xlon = rMesh * np.cos(thetaMesh) + centerLon
ylat = rMesh * np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key, xllcorner, yllcorner, cellsize, xlon,
ylat, xMax, yMax, boundsOption,
[ncols, nrows, rLength, thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else:
dangerZone = 1
elif (altitudeLower > 0) and (altitudefinal > 0):
dangerZone = 0 # debris will be in orbit
elif altitudeLower < 0:
thetaLength = 20
rLength = 20
rmax = 2.5 # conservative bound for upper level case
rmin = 0.0
centerLon = longitudeLower
centerLat = latitudeLower
theta = np.linspace(0, 2 * np.pi, thetaLength)
r = np.linspace(rmin, rmax, rLength)
rMesh, thetaMesh = np.meshgrid(r, theta)
xlon = rMesh * np.cos(thetaMesh) + centerLon
ylat = rMesh * np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key, xllcorner, yllcorner, cellsize, xlon,
ylat, xMax, yMax, boundsOption,
[ncols, nrows, rLength, thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else:
dangerZone = 1
#print rmax,val,centerLon,centerLat
# print xlon
# print ylat
return dangerZone
def checkStateVector(stateVec,Vdeb,planetModel,dt,thetag,populationData):
key,xllcorner,yllcorner,cellsize,xMax,yMax,ncols,nrows = populationData
# def checkStateVector(Vmag,gamma,beta,lat,long,alt,lonRef,latRef,mainVelRelOption,Vdebris,ballMin,ballMax,altitudeList,densitylist,key,xllcorner,yllcorner,cellsize,nrows, ncols,xMax,yMax):
massval = 1.0
arefval = 1.0
minfcdval = 1.0
CDval = 1.0
minfclval = 1.0
CLval = 0.0
altitudeList = [1.0]
densityList = 1.0
uList = 1.0
vList = 1.0
wList = 1.0
ncdval = 1
nclval = 1
nlist = 1
finalConditions = dp.debrispropagation(initialstate = stateVec,
debrisvel = Vdeb,
mass=massval,sref=arefval,minfcd=minfcdval,cd=CDval,cloption=1,
minfcl=minfclval,cl=CLval,loverd = 0,atmosoption=-1,altitudelist=altitudeList,
densitylist=densityList,ulist=uList,vlist=vList,
wlist=wList,geoptions=0,filename='none',planetmodel=planetModel,dtinterval = dt,thetag0=thetag,
ncd=ncdval,
ncl=nclval,
nlist=len(altitudeList))
altitudefinal = finalConditions[0]
latitudefinal = finalConditions[1]
longitudefinal = finalConditions[2]
ballMin = 0.1
cd = massval/(ballMin*arefval)
atmosoption = 1# -1 Vacuum, 0 exp density, 1 gram density, 2 gram wind and density
lowerConditions = dp.debrispropagation(initialstate = stateVec,
debrisvel = Vdeb,
mass=massval,sref=arefval,minfcd=minfcdval,cd=CDval,cloption=1,
minfcl=minfclval,cl=CLval,loverd = 0,atmosoption=0,altitudelist=altitudeList,
densitylist=densityList,ulist=uList,vlist=vList,
wlist=wList,geoptions=0,filename='none',planetmodel=planetModel,dtinterval = dt,thetag0=thetag,
ncd=ncdval,
ncl=nclval,
nlist=len(altitudeList))
altitudeLower = lowerConditions[0]
latitudeLower = lowerConditions[1]
longitudeLower = lowerConditions[2]
if (altitudefinal<0)and(altitudeLower<0):
# calculating radius
thetaLength = 20
rLength = 20
deltaLon = longitudefinal - longitudeLower
deltaLat = latitudefinal - latitudeLower
rmax = max(1.,(deltaLon**2+deltaLat**2)**.5) #+ .5 # .5 added to be conservative
rmin = 0.0
centerLon = .5*(longitudefinal + longitudeLower)
centerLat = .5*(latitudefinal + latitudeLower)
theta = np.linspace(0,2*np.pi,thetaLength)
r = np.linspace(rmin,rmax,rLength)
rMesh,thetaMesh = np.meshgrid(r,theta)
xlon = rMesh*np.cos(thetaMesh) + centerLon
ylat = rMesh*np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,xlon,ylat,xMax,yMax,boundsOption,[ncols,nrows,rLength,thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else :
dangerZone = 1
elif (altitudeLower>0)and(altitudefinal>0):
dangerZone = 0 # debris will be in orbit
elif altitudeLower<0 :
thetaLength = 20
rLength = 20
rmax = 2.5 # conservative bound for upper level case
rmin = 0.0
centerLon = longitudeLower
centerLat = latitudeLower
theta = np.linspace(0,2*np.pi,thetaLength)
r = np.linspace(rmin,rmax,rLength)
rMesh,thetaMesh = np.meshgrid(r,theta)
xlon = rMesh*np.cos(thetaMesh) + centerLon
ylat = rMesh*np.sin(theta) + centerLat
boundsOption = 1
popMatrix = SMF.agsgetvals(key,xllcorner,yllcorner,cellsize,xlon,ylat,xMax,yMax,boundsOption,[ncols,nrows,rLength,thetaLength])
val = np.sum(popMatrix)
if val < 1e-16:
dangerZone = 0
else :
dangerZone = 1
#print rmax,val,centerLon,centerLat
# print xlon
# print ylat
return dangerZone
def calculateEcMatrixShelteringWeighted(lonlat,populationClass,weightArray,
E_N_simulated,V_N_simulated,fractionOnGround=1.0,boundsOption=1,delta = None,nMesh = None,
polygon=None,ArefList = None,massList=None,CDref = 1.0,
debrisClass = None , variance = False):
# calculates Ec by calculating pdf in P frame, then get corresponding population density for P frame.
# E_N_simulated is the expected number of debris pieces from the debris group
# V_N_simulated is the variance of the number of debris pieces from the debris group
# fractionOnground is the fraction of the debris pieces that impact the ground (pieces could reach orbit)
# this version uses the rotated pdf (actual lon lat coordinates)
nSamples,otherdim = np.shape(lonlat)
E_N_ground = fractionOnGround*E_N_simulated
V_N_ground = (fractionOnGround**2.0) * V_N_simulated
if nSamples==0 or np.sum(weightArray)==0:
return 0,[],[],[],0
################################################################################################
#making sure we have distributions and not just point landing in the same location
#KDE cannot handle points landing in the same location
lonCheck = lonlat[:,0]
latCheck = lonlat[:,1]
maxlon = lonCheck.max()
minlon = lonCheck.min()
maxlat = latCheck.max()
minlat = latCheck.min()
dlon = maxlon - minlon
dlat = maxlat - minlat
#special case....deterministic point.. KDE not necessary
if (dlon*dlat<=10**-25):
lonOrMesh = [lonCheck.mean()]
latOrMesh = [latCheck.mean()]
if populationClass.keyDen ==None:
popMatrix,xmatlocations,ymatlocations = SMF.agsgetdensity(populationClass.keyPop,populationClass.keyArea,
populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,
populationClass.xMax,populationClass.yMax,
boundsOption)#,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
populationClass.yMax,boundsOption)
xmatlocations = []
ymatlocations = []
#popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
# populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
# populationClass.yMax,boundsOption)
if polygon!=None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonOrMesh,latOrMesh,xpol,ypol)
desval = 0.0
popMatrix = SMF.updatematpolygon(lonOrMesh,latOrMesh,xpol,ypol,popMatrix,desval)
km2_to_m_2 = (1000.0)**2.0
Ec = np.sum(weightArray)/nSamples *(popMatrix[0][0]/km2_to_m_2)*E_N_ground
return Ec,[],[],[],0
################################################################################################
popOrigArea = populationClass.cellsize**2
(PframeVals,OrFrameVals,rotVals) = pdfSetup(lonlat,pdfoption='kde',delta=delta,nMesh=nMesh)
[xMeshP,yMeshP,lonlatPframe] = PframeVals
[lonOrMesh,latOrMesh] = OrFrameVals
[U,transformDetails,areaInt] = rotVals
ylen,xlen = np.shape(xMeshP)
if populationClass.keyDen ==None:
popMatrix,xmatlocations,ymatlocations = SMF.agsgetdensity(populationClass.keyPop,populationClass.keyArea,
populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,
populationClass.xMax,populationClass.yMax,
boundsOption)#,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
populationClass.yMax,boundsOption)
xmatlocations = []
ymatlocations = []
if polygon!=None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonOrMesh,latOrMesh,xpol,ypol)
desval = 0.0
popMatrix = SMF.updatematpolygon(lonOrMesh,latOrMesh,xpol,ypol,popMatrix,desval)
if np.sum(popMatrix)>0.0:
#print 'A0',len(ArefList)
# now divide into ballistic coefficient groups
nAref,nmass,nlonlat,nweightArray =groupBallisticCoeff(ArefList=ArefList,massList=massList,lonlat=lonlat,weight=weightArray,CDref=CDref)
nSamplesTotal = 0.0
ZZpdfPframe = 0.0
ZZpdfPframe_sq = 0.0
Vc = 0.0
for index in range(len(nAref)):
lonlatPframe = originalFrame2Pframe(nlonlat[index],U)
weightArrayLocal = nweightArray[index]
nSamplesloc = len(weightArrayLocal)
nSamplesTotal = nSamplesloc + nSamplesTotal
if nSamplesloc<=10:
print 'Error: Adjust debris catalog. Current samples for this subgroup (rearranged by ballistic coeff) <10 samples '
print 'Try subdiviging this debris group or add more samples'
print 'Check debris catalog',debrisClass.name,nSamplesloc
print 'Weight Array',weightArrayLocal
exit(2)
ZZpdfPframetemp = getWeightedPDFfromSetup(lonlatPframe,xMeshP,yMeshP,weightArrayLocal)
percentPDF = float(nSamplesloc)/float(nSamples)
assert (percentPDF<=1.0)
ZZpdfPframe = percentPDF*ZZpdfPframetemp + ZZpdfPframe
ZZpdfPframetemp_sq = getWeightedPDFfromSetup(lonlatPframe,xMeshP,yMeshP,weightArrayLocal**2.0)
ZZpdfPframe_sq = percentPDF*ZZpdfPframetemp_sq + ZZpdfPframe_sq
[[Ecsingle,Ecmatrixsingle],Vcsingle] = getEcVc(popMatrix,ZZpdfPframe,areaInt,ZZpdfPframe_sq)
Ec = Ecsingle*E_N_ground
Vc = (Vcsingle*E_N_ground) + (V_N_ground * Ecsingle**2.0) # variance computation
Ecmatrix = Ecmatrixsingle*E_N_ground
else:
print 'No pdf calc',np.sum(popMatrix)
Ec = 0.0
Vc = 0.0
#Ec2 = 0.0
xmatlocations = [1]
ymatlocations = [1]
Ecmatrix = np.zeros((1,1))
return Ec,Ecmatrix,xmatlocations,ymatlocations,Vc
def calculateEcBlast(lon,lat,populationClass,boundsOption,rad_Exp_Blast,angleDegBlast,polygon=None,desval=0.0 ):
# TO DO...update to use classes instead of list for population
import safetyMetrics as SMF
import orbitTools
#km2_to_m_2 = (1000.0)**2.0
m2_to_km2 = 1/(1000.0)**2.0
#print lon,lat,angleDegBlast,rad_Exp_Blast
# starting a mesh for blast overpressure
lonVec = np.linspace(lon - 1.2*angleDegBlast,lon + 1.2*angleDegBlast,50)
latVec = np.linspace(lat - 1.2*angleDegBlast,lat + 1.2*angleDegBlast,52)
RplanetCirc = 6371000.8 # meters spherical Earth
dlon = ( lonVec[1] - lonVec[0]) * np.pi/180.
dlat = (latVec[1] - latVec[0]) * np.pi/180.
lonMesh,latMesh = np.meshgrid(lonVec,latVec)
try:
popdensity,xMatLoc,yMatLoc = SMF.agsgetdensity(populationClass.keyPop,populationClass.keyArea,
populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonMesh,latMesh,
populationClass.xMax,populationClass.yMax,boundsOption)
except:
popdensity = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
populationClass.cellsize,lonMesh,latMesh,populationClass.xMax,
populationClass.yMax,boundsOption)
if polygon!=None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonMesh,latMesh,xpol,ypol)
popdensity = SMF.updatematpolygon(lonMesh,latMesh,xpol,ypol,popdensity,desval)
Ac = (dlon*dlat)*( RplanetCirc**2) * np.cos(latMesh*np.pi/180.)
r0= orbitTools.latlonalt2ECEF(lat,lon,0,0)
rX,rY,rZ = orbitTools.latlonalt2ECEF(latMesh,lonMesh,0.,0)
distMat = ((rX-r0[0])**2 + (rY-r0[1])**2 + (rZ-r0[2])**2)**.5
indexSphere = distMat > rad_Exp_Blast
Ac[indexSphere] = 0.0
casualties = popdensity * (Ac*m2_to_km2)
#print np.sum(Ac)*m2_to_km2
#currPopulation = np.asarray(deepcopy(populationClass.keyPop),order='F') # making sure it is Fortran ordered
#print 'P1',populationClass.keyPop[xMatLoc,yMatLoc]
#row,col = np.shape(xMatLoc)
# population was being updated every single time
#for i in range(row):
# for j in range(col):
# populationClass.keyPop[xMatLoc[i,j],yMatLoc[i,j]] = max(populationClass.keyPop[xMatLoc[i,j],yMatLoc[i,j]]- casualties[i,j],0.0) # updating population counts
#print 'P2',populationClass.keyPop[xMatLoc,yMatLoc]
#print 'Popden',popdensity
#print np.sum(casualties),np.sum(Ac),rad_Exp_Blast**2*np.pi
return np.sum(casualties) , populationClass
def calculateEcMatrixShelteringWeighted(lonlat,
populationClass,
weightArray,
E_N_simulated,
V_N_simulated,
fractionOnGround=1.0,
boundsOption=1,
delta=None,
nMesh=None,
polygon=None,
ArefList=None,
massList=None,
CDref=1.0,
debrisClass=None,
variance=False):
# calculates Ec by calculating pdf in P frame, then get corresponding population density for P frame.
# E_N_simulated is the expected number of debris pieces from the debris group
# V_N_simulated is the variance of the number of debris pieces from the debris group
# fractionOnground is the fraction of the debris pieces that impact the ground (pieces could reach orbit)
# this version uses the rotated pdf (actual lon lat coordinates)
nSamples, otherdim = np.shape(lonlat)
E_N_ground = fractionOnGround * E_N_simulated
V_N_ground = (fractionOnGround**2.0) * V_N_simulated
if nSamples == 0 or np.sum(weightArray) == 0:
return 0, [], [], [], 0
################################################################################################
#making sure we have distributions and not just point landing in the same location
#KDE cannot handle points landing in the same location
lonCheck = lonlat[:, 0]
latCheck = lonlat[:, 1]
maxlon = lonCheck.max()
minlon = lonCheck.min()
maxlat = latCheck.max()
minlat = latCheck.min()
dlon = maxlon - minlon
dlat = maxlat - minlat
#special case....deterministic point.. KDE not necessary
if (dlon * dlat <= 10**-25):
lonOrMesh = [lonCheck.mean()]
latOrMesh = [latCheck.mean()]
if populationClass.keyDen == None:
popMatrix, xmatlocations, ymatlocations = SMF.agsgetdensity(
populationClass.keyPop, populationClass.keyArea,
populationClass.xllcorner, populationClass.yllcorner,
populationClass.cellsize, lonOrMesh, latOrMesh,
populationClass.xMax, populationClass.yMax, boundsOption
) #,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,
populationClass.xllcorner,
populationClass.yllcorner,
populationClass.cellsize, lonOrMesh,
latOrMesh, populationClass.xMax,
populationClass.yMax, boundsOption)
xmatlocations = []
ymatlocations = []
#popMatrix = SMF.agsgetvals(populationClass.keyDen,populationClass.xllcorner,populationClass.yllcorner,
# populationClass.cellsize,lonOrMesh,latOrMesh,populationClass.xMax,
# populationClass.yMax,boundsOption)
if polygon != None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonOrMesh, latOrMesh, xpol, ypol)
desval = 0.0
popMatrix = SMF.updatematpolygon(lonOrMesh, latOrMesh, xpol, ypol,
popMatrix, desval)
km2_to_m_2 = (1000.0)**2.0
Ec = np.sum(weightArray) / nSamples * (popMatrix[0][0] /
km2_to_m_2) * E_N_ground
return Ec, [], [], [], 0
################################################################################################
popOrigArea = populationClass.cellsize**2
(PframeVals, OrFrameVals, rotVals) = pdfSetup(lonlat,
pdfoption='kde',
delta=delta,
nMesh=nMesh)
[xMeshP, yMeshP, lonlatPframe] = PframeVals
[lonOrMesh, latOrMesh] = OrFrameVals
[U, transformDetails, areaInt] = rotVals
ylen, xlen = np.shape(xMeshP)
if populationClass.keyDen == None:
popMatrix, xmatlocations, ymatlocations = SMF.agsgetdensity(
populationClass.keyPop, populationClass.keyArea,
populationClass.xllcorner, populationClass.yllcorner,
populationClass.cellsize, lonOrMesh, latOrMesh,
populationClass.xMax, populationClass.yMax, boundsOption
) #,[populationClass.ncols,populationClass.nrows,xlen,ylen])
else:
popMatrix = SMF.agsgetvals(populationClass.keyDen,
populationClass.xllcorner,
populationClass.yllcorner,
populationClass.cellsize, lonOrMesh,
latOrMesh, populationClass.xMax,
populationClass.yMax, boundsOption)
xmatlocations = []
ymatlocations = []
if polygon != None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonOrMesh, latOrMesh, xpol, ypol)
desval = 0.0
popMatrix = SMF.updatematpolygon(lonOrMesh, latOrMesh, xpol, ypol,
popMatrix, desval)
if np.sum(popMatrix) > 0.0:
#print 'A0',len(ArefList)
# now divide into ballistic coefficient groups
nAref, nmass, nlonlat, nweightArray = groupBallisticCoeff(
ArefList=ArefList,
massList=massList,
lonlat=lonlat,
weight=weightArray,
CDref=CDref)
nSamplesTotal = 0.0
ZZpdfPframe = 0.0
ZZpdfPframe_sq = 0.0
Vc = 0.0
for index in range(len(nAref)):
lonlatPframe = originalFrame2Pframe(nlonlat[index], U)
weightArrayLocal = nweightArray[index]
nSamplesloc = len(weightArrayLocal)
nSamplesTotal = nSamplesloc + nSamplesTotal
if nSamplesloc <= 10:
print 'Error: Adjust debris catalog. Current samples for this subgroup (rearranged by ballistic coeff) <10 samples '
print 'Try subdiviging this debris group or add more samples'
print 'Check debris catalog', debrisClass.name, nSamplesloc
print 'Weight Array', weightArrayLocal
exit(2)
ZZpdfPframetemp = getWeightedPDFfromSetup(lonlatPframe, xMeshP,
yMeshP, weightArrayLocal)
percentPDF = float(nSamplesloc) / float(nSamples)
assert (percentPDF <= 1.0)
ZZpdfPframe = percentPDF * ZZpdfPframetemp + ZZpdfPframe
ZZpdfPframetemp_sq = getWeightedPDFfromSetup(
lonlatPframe, xMeshP, yMeshP, weightArrayLocal**2.0)
ZZpdfPframe_sq = percentPDF * ZZpdfPframetemp_sq + ZZpdfPframe_sq
[[Ecsingle, Ecmatrixsingle],
Vcsingle] = getEcVc(popMatrix, ZZpdfPframe, areaInt, ZZpdfPframe_sq)
Ec = Ecsingle * E_N_ground
Vc = (Vcsingle * E_N_ground) + (V_N_ground * Ecsingle**2.0
) # variance computation
Ecmatrix = Ecmatrixsingle * E_N_ground
else:
print 'No pdf calc', np.sum(popMatrix)
Ec = 0.0
Vc = 0.0
#Ec2 = 0.0
xmatlocations = [1]
ymatlocations = [1]
Ecmatrix = np.zeros((1, 1))
return Ec, Ecmatrix, xmatlocations, ymatlocations, Vc
def calculateEcBlast(lon,
lat,
populationClass,
boundsOption,
rad_Exp_Blast,
angleDegBlast,
polygon=None,
desval=0.0):
# TO DO...update to use classes instead of list for population
import safetyMetrics as SMF
import orbitTools
#km2_to_m_2 = (1000.0)**2.0
m2_to_km2 = 1 / (1000.0)**2.0
#print lon,lat,angleDegBlast,rad_Exp_Blast
# starting a mesh for blast overpressure
lonVec = np.linspace(lon - 1.2 * angleDegBlast, lon + 1.2 * angleDegBlast,
50)
latVec = np.linspace(lat - 1.2 * angleDegBlast, lat + 1.2 * angleDegBlast,
52)
RplanetCirc = 6371000.8 # meters spherical Earth
dlon = (lonVec[1] - lonVec[0]) * np.pi / 180.
dlat = (latVec[1] - latVec[0]) * np.pi / 180.
lonMesh, latMesh = np.meshgrid(lonVec, latVec)
try:
popdensity, xMatLoc, yMatLoc = SMF.agsgetdensity(
populationClass.keyPop, populationClass.keyArea,
populationClass.xllcorner, populationClass.yllcorner,
populationClass.cellsize, lonMesh, latMesh, populationClass.xMax,
populationClass.yMax, boundsOption)
except:
popdensity = SMF.agsgetvals(populationClass.keyDen,
populationClass.xllcorner,
populationClass.yllcorner,
populationClass.cellsize, lonMesh, latMesh,
populationClass.xMax, populationClass.yMax,
boundsOption)
if polygon != None:
xpol = polygon[0]
ypol = polygon[1]
matout = SMF.checkpolygon(lonMesh, latMesh, xpol, ypol)
popdensity = SMF.updatematpolygon(lonMesh, latMesh, xpol, ypol,
popdensity, desval)
Ac = (dlon * dlat) * (RplanetCirc**2) * np.cos(latMesh * np.pi / 180.)
r0 = orbitTools.latlonalt2ECEF(lat, lon, 0, 0)
rX, rY, rZ = orbitTools.latlonalt2ECEF(latMesh, lonMesh, 0., 0)
distMat = ((rX - r0[0])**2 + (rY - r0[1])**2 + (rZ - r0[2])**2)**.5
indexSphere = distMat > rad_Exp_Blast
Ac[indexSphere] = 0.0
casualties = popdensity * (Ac * m2_to_km2)
#print np.sum(Ac)*m2_to_km2
#currPopulation = np.asarray(deepcopy(populationClass.keyPop),order='F') # making sure it is Fortran ordered
#print 'P1',populationClass.keyPop[xMatLoc,yMatLoc]
#row,col = np.shape(xMatLoc)
# population was being updated every single time
#for i in range(row):
# for j in range(col):
# populationClass.keyPop[xMatLoc[i,j],yMatLoc[i,j]] = max(populationClass.keyPop[xMatLoc[i,j],yMatLoc[i,j]]- casualties[i,j],0.0) # updating population counts
#print 'P2',populationClass.keyPop[xMatLoc,yMatLoc]
#print 'Popden',popdensity
#print np.sum(casualties),np.sum(Ac),rad_Exp_Blast**2*np.pi
return np.sum(casualties), populationClass