def requiv_contact_L23(q, sma, compno, **kwargs):
"""
for the contact case we can make the assumption of aligned, synchronous, and circular
"""
logger.debug("requiv_contact_L23(q={}, sma={}, compno={})".format(
q, sma, compno))
crit_pot_L23 = potential_contact_L23(q)
logger.debug(
"libphoebe.roche_contact_neck_min(phi=pi/2, q={}, d=1., crit_pot_L23={})"
.format(q, crit_pot_L23))
nekmin = libphoebe.roche_contact_neck_min(np.pi / 2., q, 1.,
crit_pot_L23)['xmin']
# we now have the critical potential and nekmin as if we were the primary star, so now we'll use compno=0 regardless
logger.debug(
"libphoebe.roche_contact_partial_area_volume(nekmin={}, q={}, d=1, Omega={}, compno={})"
.format(nekmin, q, crit_pot_L23, compno - 1))
crit_vol_L23 = libphoebe.roche_contact_partial_area_volume(
nekmin,
q,
1.,
crit_pot_L23,
compno - 1,
lvolume=True,
ldvolume=False,
larea=False)['lvolume']
logger.debug("resulting vol: {}, requiv: {}".format(
crit_vol_L23, (3. / 4 * 1. / np.pi * crit_vol_L23)**(1. / 3) * sma))
return (3. / 4 * 1. / np.pi * crit_vol_L23)**(1. / 3) * sma
def pot_to_requiv_contact(pot, q, sma, compno=1):
"""
"""
logger.debug(
"pot_to_requiv_contact(pot={}, q={}, sma={}, compno={})".format(
pot, q, sma, compno))
d = 1.
F = 1.
crit_pots = libphoebe.roche_critical_potential(q, d, F)
crit_pot_L1 = crit_pots['L1']
crit_pot_L23 = max(crit_pots['L2'], crit_pots['L3'])
if pot > crit_pot_L1:
raise ValueError("potential > L1 critical value")
if pot < crit_pot_L23:
raise ValueError("potential < L2/L3 critical value")
try:
logger.debug(
"libphoebe.roche_contact_neck_min(pi/2, q={}, d={}, pot={})".
format(q, d, pot))
nekmin = libphoebe.roche_contact_neck_min(np.pi / 2., q, d,
pot)['xmin']
logger.debug(
"libphoebe.roche_contact_partial_area_volume(nekmin={}, q={}, d={}, pot={}, compno={})"
.format(nekmin, q, d, pot, compno - 1))
volume_equiv = libphoebe.roche_contact_partial_area_volume(
nekmin, q, d, pot, compno - 1)['lvolume']
# returns normalized vequiv, should multiply by sma back for requiv in SI
return sma * (3. / 4 * 1. / np.pi * volume_equiv)**(1. / 3)
except:
# replace this with actual check in the beginning or before function call
raise ValueError(
'potential probably out of bounds for contact envelope')
def test_contact_neck(plot=False):
q = 0.1
d = 1.
Omega0 = 1.9
neck_xy = libphoebe.roche_contact_neck_min(0., q, d, Omega0)
neck_xz = libphoebe.roche_contact_neck_min(np.pi / 2., q, d, Omega0)
neck_xy0 = {'xmin': 0.742892957853368, 'rmin': 0.14601804638933566}
neck_xz0 = {'xmin': 0.7383492639142092, 'rmin': 0.13255145166593718}
assert (abs(neck_xy['xmin'] - neck_xy0['xmin']) < 1e-12 * neck_xy0['xmin'])
assert (abs(neck_xz['xmin'] - neck_xz0['xmin']) < 1e-12 * neck_xz0['xmin'])
if plot:
print "neck_xy=", neck_xy
print "neck_xz=", neck_xz
def test_contact_omega_at_vol(plot=False):
q = 0.1
d = 1.
Omega0 = 1.9
phi = np.pi/2
neck = libphoebe.roche_contact_neck_min(phi, q, d, Omega0)
x = neck["xmin"] # where we cut it
choice = 0 # 0 for left and 1 for right
pvol = libphoebe.roche_contact_partial_area_volume(x, q, d, Omega0, choice=choice)
vol= pvol['lvolume']
Omega1 = libphoebe.roche_contact_Omega_at_partial_vol(vol, phi, q, d, choice=choice)
assert(abs(Omega0 - Omega1) < 1e-12*Omega0)
if plot:
print("neck=",neck)
print("pvol=", pvol)
print("Omega0={}, Omega1={}".format(Omega0, Omega1))