def test_impulse_deltav_general_orbit_zeroforce():
from galpy.df import impulse_deltav_plummer_curvedstream, \
impulse_deltav_general_orbitintegration
from galpy.potential import PlummerPotential
tol= -6.
rcurv=10.
vp=220.
x0 = numpy.array([rcurv,0.,0.])
v0 = numpy.array([0.,vp,0.])
w = numpy.array([1.,numpy.pi/2.,0.])
plummer_kick= impulse_deltav_plummer_curvedstream(\
v0,x0,3.,w,x0,v0,1.5,4.)
pp= PlummerPotential(amp=1.5,b=4.)
vang=vp/rcurv
angrange=numpy.pi
maxt=5.*angrange/vang
galpot = constantPotential()
orbit_kick= impulse_deltav_general_orbitintegration(\
v0,x0,3.,w,x0,v0,pp,maxt,galpot)
assert numpy.all(numpy.fabs(orbit_kick-plummer_kick) < 10.**tol), \
'general kick with acceleration calculation does not agree with Plummer calculation for a Plummer potential, for straight'
# Same for a bunch of positions
tol= -5.
pp= PlummerPotential(amp=numpy.pi,b=numpy.exp(1.))
theta = numpy.linspace(-numpy.pi/4.,numpy.pi/4.,100)
xc,yc = rcurv*numpy.cos(theta),rcurv*numpy.sin(theta)
Xc = numpy.zeros((100,3))
Xc[:,0]=xc
Xc[:,1]=yc
vx,vy = -vp*numpy.sin(theta),vp*numpy.cos(theta)
V = numpy.zeros((100,3))
V[:,0]=vx
V[:,1]=vy
plummer_kick= impulse_deltav_plummer_curvedstream(\
V,Xc,3.,w,x0,v0,numpy.pi,numpy.exp(1.))
orbit_kick= impulse_deltav_general_orbitintegration(\
V,Xc,3.,w,x0,v0,pp,
maxt,
galpot)
assert numpy.all(numpy.fabs(orbit_kick-plummer_kick) < 10.**tol), \
'general kick calculation does not agree with Plummer calculation for a Plummer potential, for curved stream'
return None
def test_impulse_deltav_general_orbit_zeroforce():
from galpy.df import impulse_deltav_plummer_curvedstream, \
impulse_deltav_general_orbitintegration
from galpy.potential import PlummerPotential
tol= -6.
rcurv=10.
vp=220.
x0 = numpy.array([rcurv,0.,0.])
v0 = numpy.array([0.,vp,0.])
w = numpy.array([1.,numpy.pi/2.,0.])
plummer_kick= impulse_deltav_plummer_curvedstream(\
v0,x0,3.,w,x0,v0,1.5,4.)
pp= PlummerPotential(amp=1.5,b=4.)
vang=vp/rcurv
angrange=numpy.pi
maxt=5.*angrange/vang
galpot = constantPotential()
orbit_kick= impulse_deltav_general_orbitintegration(\
v0,x0,3.,w,x0,v0,pp,maxt,galpot)
assert numpy.all(numpy.fabs(orbit_kick-plummer_kick) < 10.**tol), \
'general kick with acceleration calculation does not agree with Plummer calculation for a Plummer potential, for straight'
# Same for a bunch of positions
tol= -5.
pp= PlummerPotential(amp=numpy.pi,b=numpy.exp(1.))
theta = numpy.linspace(-numpy.pi/4.,numpy.pi/4.,100)
xc,yc = rcurv*numpy.cos(theta),rcurv*numpy.sin(theta)
Xc = numpy.zeros((100,3))
Xc[:,0]=xc
Xc[:,1]=yc
vx,vy = -vp*numpy.sin(theta),vp*numpy.cos(theta)
V = numpy.zeros((100,3))
V[:,0]=vx
V[:,1]=vy
plummer_kick= impulse_deltav_plummer_curvedstream(\
V,Xc,3.,w,x0,v0,numpy.pi,numpy.exp(1.))
orbit_kick= impulse_deltav_general_orbitintegration(\
V,Xc,3.,w,x0,v0,pp,
maxt,
galpot)
assert numpy.all(numpy.fabs(orbit_kick-plummer_kick) < 10.**tol), \
'general kick calculation does not agree with Plummer calculation for a Plummer potential, for curved stream'
return None
def test_impulse_deltav_general_fullintegration_fastencounter():
from galpy.df import impulse_deltav_general_orbitintegration, \
impulse_deltav_general_fullplummerintegration
from galpy.potential import PlummerPotential, LogarithmicHaloPotential
tol= -2.
GM=1.5
rs=4.
x0 = numpy.array([1.5,0.,0.])
v0 = numpy.array([0.,1.,0.]) #circular orbit
w = numpy.array([0.,0.,100.]) # very fast compared to v=1
lp= LogarithmicHaloPotential(normalize=1.)
pp= PlummerPotential(amp=GM,b=rs)
orbit_kick= impulse_deltav_general_orbitintegration(\
v0,x0,3.,w,x0,v0,pp,5.*numpy.pi,lp)
full_kick= impulse_deltav_general_fullplummerintegration(\
v0,x0,3.,w,x0,v0,lp,GM,rs,tmaxfac=10.,N=1000)
# Kick should be in the X direction
assert numpy.fabs((orbit_kick-full_kick)/full_kick)[0,0] < 10.**tol, \
'Acceleration kick does not agree with full-orbit-integration kick for fast encounter'
assert numpy.all(numpy.fabs((orbit_kick-full_kick))[0,1:] < 10.**tol), \
'Acceleration kick does not agree with full-orbit-integration kick for fast encounter'
return None
def test_impulse_deltav_general_fullintegration_fastencounter():
from galpy.df import impulse_deltav_general_orbitintegration, \
impulse_deltav_general_fullplummerintegration
from galpy.potential import PlummerPotential, LogarithmicHaloPotential
tol= -2.
GM=1.5
rs=4.
x0 = numpy.array([1.5,0.,0.])
v0 = numpy.array([0.,1.,0.]) #circular orbit
w = numpy.array([0.,0.,100.]) # very fast compared to v=1
lp= LogarithmicHaloPotential(normalize=1.)
pp= PlummerPotential(amp=GM,b=rs)
orbit_kick= impulse_deltav_general_orbitintegration(\
v0,x0,3.,w,x0,v0,pp,5.*numpy.pi,lp)
full_kick= impulse_deltav_general_fullplummerintegration(\
v0,x0,3.,w,x0,v0,lp,GM,rs,tmaxfac=10.,N=1000)
# Kick should be in the X direction
assert numpy.fabs((orbit_kick-full_kick)/full_kick)[0,0] < 10.**tol, \
'Acceleration kick does not agree with full-orbit-integration kick for fast encounter'
assert numpy.all(numpy.fabs((orbit_kick-full_kick))[0,1:] < 10.**tol), \
'Acceleration kick does not agree with full-orbit-integration kick for fast encounter'
return None