def MWPotentialSCFbar_nogrow(mbar,Acos,Asin,rs=1.,normalize=False,pat_speed=40.,fin_phi_deg=27.,t_stream_age=5.):
a=rs/ro
omegaP=pat_speed*(ro/vo)
fin_phi= np.radians(fin_phi_deg)
#init_phi= fin_phi - o_p*(tpal5age*Gyr_to_s)
init_phi= fin_phi - omegaP*t_stream_age/bovy_conversion.time_in_Gyr(vo,ro)
mrat=mbar/10.**10. #10^10 mass of bar used to compute Acos and Asin
static_bar=potential.SCFPotential(amp=mrat,Acos=Acos,Asin=Asin,a=a,normalize=normalize)
#Note only m=0 terms are considered
static_axi_bar=potential.SCFPotential(amp=mrat,Acos=np.atleast_3d(Acos[:,:,0]),a=a)
barrot=potential.SolidBodyRotationWrapperPotential(pot=static_bar,omega=omegaP,ro=ro,vo=vo,pa=init_phi)
if mbar <= 5.*10**9. :
MWP2014SCFbar=[MWPotential2014[0],MiyamotoNagaiPotential(amp=(6.8-mrat)*10.**10*u.Msun,a=3./8.,b=0.28/8.),MWPotential2014[2],barrot]
turn_physical_off(MWP2014SCFbar)
#setup the corresponding axisymmetric bar
MWP2014SCFnobar= [MWPotential2014[0],MiyamotoNagaiPotential(amp=(6.8-mrat)*10.**10*u.Msun,a=3./8.,b=0.28/8.),MWPotential2014[2],static_axi_bar]
turn_physical_off(MWP2014SCFnobar)
else :
MWP2014SCFbar=[MiyamotoNagaiPotential(amp=(6.8+0.5-mrat)*10.**10*u.Msun,a=3./8.,b=0.28/8.),MWPotential2014[2],barrot]
turn_physical_off(MWP2014SCFbar)
MWP2014SCFnobar= [MiyamotoNagaiPotential(amp=(6.8+0.5-mrat)*10.**10*u.Msun,a=3./8.,b=0.28/8.),MWPotential2014[2],static_axi_bar]
turn_physical_off(MWP2014SCFnobar)
return (MWP2014SCFbar,MWP2014SCFnobar)
def MWPotentialSCFbar_grow(mbar,
Acos,
Asin,
rs=1.,
normalize=False,
pat_speed=40.,
fin_phi_deg=27.,
t_on=-2.,
tgrow=2,
tstream=5.):
'''
SCFbar starts growing at -x Gyr
tstream : age of the stream/max stripping time
t_on: time in Gyr in the past at which the bar acquired full strength
tgrow: no of bar periods it took the bar to grow to full strength starting at tform
'''
#setup the full strength bar and axisymmetric "bar"
a = rs / ro
omegaP = pat_speed * (ro / vo)
fin_phi = np.radians(fin_phi_deg)
Tbar = 2. * np.pi / np.abs(omegaP) #bar period in galpy units.
t_on = t_on / bovy_conversion.time_in_Gyr(vo, ro)
tsteady = tgrow * Tbar
tform = t_on - tsteady #- because past is negative
mrat = mbar / 10.**10. #10^10 mass of bar used to compute Acos and Asin
static_bar = mySCFPotential(amp=mrat,
Acos=Acos,
Asin=Asin,
a=a,
normalize=normalize)
#Note only m=0 terms are considered
static_axi_bar = mySCFPotential(amp=mrat,
Acos=np.atleast_3d(Acos[:, :, 0]),
a=a)
barrot = potential.SolidBodyRotationWrapperPotential(pot=static_bar,
omega=omegaP,
ro=ro,
vo=vo,
pa=fin_phi)
if mbar <= 5. * 10**9.:
MWP2014SCFbar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
#setup the corresponding axisymmetric bar
MWP2014SCFnobar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
else:
MWP2014SCFbar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
MWP2014SCFnobar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
#if t_on >= t_stream, then stream sees the bar as always on
if np.abs(t_on) * bovy_conversion.time_in_Gyr(vo, ro) >= tstream:
return (MWP2014SCFbar, MWP2014SCFnobar)
elif np.abs(tform) * bovy_conversion.time_in_Gyr(vo, ro) >= tstream:
print("tform > age of stream")
elif np.abs(tform) * bovy_conversion.time_in_Gyr(vo, ro) < tstream:
MWbar_grow = DehnenWrap(amp=1.,
pot=MWP2014SCFbar,
tform=tform,
tsteady=tsteady)
MWaxibar_destroy = DehnenWrap(amp=-1.,
pot=MWP2014SCFnobar,
tform=tform,
tsteady=tsteady)
growbarpot = [MWbar_grow, MWP2014SCFnobar, MWaxibar_destroy]
turn_physical_off(growbarpot)
return (growbarpot, MWP2014SCFnobar)
def MWPotentialSCFbar_invert(mbar,
Acos,
Asin,
rs=1.,
normalize=False,
pat_speed=40.,
fin_phi_deg=27.,
t_stream_age=5.,
t_on=2.,
tgrow=2):
'''
t_stream_age : age of the stream/max stripping time
tform: time in Gyr in the past at which the bar started to form
tgrow: no of bar periods it took the bar to grow to full strength starting at tform
'''
#setup the full strength bar and axisymmetric "bar"
a = rs / ro
omegaP = pat_speed * (ro / vo)
fin_phi = np.radians(fin_phi_deg)
mrat = mbar / 10.**10. #10^10 mass of bar used to compute Acos and Asin
static_bar = potential.SCFPotential(amp=mrat,
Acos=Acos,
Asin=Asin,
a=a,
normalize=normalize)
#Note only m=0 terms are considered
static_axi_bar = potential.SCFPotential(amp=mrat,
Acos=np.atleast_3d(Acos[:, :, 0]),
a=a)
#pa = final phi and omega is negative since we are going back in time
barrot = potential.SolidBodyRotationWrapperPotential(pot=static_bar,
omega=-omegaP,
ro=ro,
vo=vo,
pa=fin_phi)
if mbar <= 5. * 10**9.:
MWP2014SCFbar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
#setup the corresponding axisymmetric bar
MWP2014SCFnobar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
else:
MWP2014SCFbar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
MWP2014SCFnobar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
#setup Dehnen smooth growth wrapper for the bar
#while going back, t_on = tform, then deconstruct the bar to no bar during tsteady
tform = t_on / bovy_conversion.time_in_Gyr(vo, ro)
Tbar = 2. * np.pi / omegaP
tsteady = tgrow * Tbar
MWaxibar_grow = DehnenWrap(amp=1.,
pot=MWP2014SCFnobar,
tform=tform,
tsteady=tsteady)
MWbar_destroy = DehnenWrap(amp=-1.,
pot=MWP2014SCFbar,
tform=tform,
tsteady=tsteady)
growbarpot_invert = [MWP2014SCFbar, MWaxibar_grow, MWbar_destroy]
turn_physical_off(growbarpot_invert)
return growbarpot_invert
def MWPotentialSCFbar(mbar,
Acos,
Asin,
rs=1.,
normalize=False,
pat_speed=40.,
fin_phi_deg=27.,
t_stream_age=5.,
t_on=2.,
tgrow=2):
'''
t_stream_age : age of the stream/max stripping time
t_on: time in Gyr in the past at which the bar acquired full strength
tgrow: no of bar periods it took the bar to grow to full strength starting at tform
'''
#setup the full strength bar and axisymmetric "bar"
a = rs / ro
omegaP = pat_speed * (ro / vo)
fin_phi = np.radians(fin_phi_deg)
t_stream_age = t_stream_age / bovy_conversion.time_in_Gyr(vo, ro)
Tbar = 2. * np.pi / omegaP #bar period in galpy units.
t_on = t_on / bovy_conversion.time_in_Gyr(vo, ro)
tsteady = tgrow * Tbar
tform = t_on + tsteady
init_phi = fin_phi - omegaP * t_stream_age / bovy_conversion.time_in_Gyr(
vo, ro)
mrat = mbar / 10.**10. #10^10 mass of bar used to compute Acos and Asin
static_bar = SCFPotential(amp=mrat,
Acos=Acos,
Asin=Asin,
a=a,
normalize=normalize)
#Note only m=0 terms are considered
static_axi_bar = SCFPotential(amp=mrat,
Acos=np.atleast_3d(Acos[:, :, 0]),
a=a)
barrot = potential.SolidBodyRotationWrapperPotential(pot=static_bar,
omega=omegaP,
ro=ro,
vo=vo,
pa=init_phi)
if mbar <= 5. * 10**9.:
MWP2014SCFbar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
#setup the corresponding axisymmetric bar
MWP2014SCFnobar = [
MWPotential2014[0],
MiyamotoNagaiPotential(amp=(6.8 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
else:
MWP2014SCFbar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2], barrot
]
turn_physical_off(MWP2014SCFbar)
MWP2014SCFnobar = [
MiyamotoNagaiPotential(amp=(6.8 + 0.5 - mrat) * 10.**10 * u.Msun,
a=3. / 8.,
b=0.28 / 8.), MWPotential2014[2],
static_axi_bar
]
turn_physical_off(MWP2014SCFnobar)
#setup Dehnen smooth growth wrapper for the bar
#convert to galpy units
#if t_on >= t_pal5_age, then Pal 5 sees the bar as always on
if t_on >= t_stream_age:
return (MWP2014SCFbar, MWP2014SCFnobar)
elif tform >= t_stream_age:
print("tform > age of Pal 5 stream")
elif tform < t_stream_age:
#change tform in the past, i.e. instead of from today, to time in the future from 5 Gyr in the past
tform = t_stream_age - tform
MWbar_grow = DehnenWrap(amp=1.,
pot=MWP2014SCFbar,
tform=tform,
tsteady=tsteady)
MWaxibar_destroy = DehnenWrap(amp=-1.,
pot=MWP2014SCFnobar,
tform=tform,
tsteady=tsteady)
growbarpot = [MWbar_grow, MWP2014SCFnobar, MWaxibar_destroy]
turn_physical_off(growbarpot)
return (growbarpot, MWP2014SCFnobar)