pint.derived_quantities.a1sini
- pint.derived_quantities.a1sini(mp, mc, pb, i=<Quantity 90. deg>)[source]
Pulsar’s semi-major axis.
The full semi-major axis is given by Kepler’s third law. This is the projection (\(\sin i\)) of just the pulsar’s orbit (\(m_c/(m_p+m_c)\) times the full semi-major axis), which is what pulsar timing measures. Can handle scalar or array inputs.
- Parameters:
mp (astropy.units.Quantity) – pulsar mass
mc (astropy.units.Quantity) – companion mass
pb (astropy.units.Quantity) – Binary orbital period
i (astropy.coordinates.Angle or astropy.units.Quantity) – orbital inclination
- Returns:
a1sini – Projected semi-major axis of pulsar’s orbit in
pint.ls
- Return type:
- Raises:
astropy.units.UnitsError – If the input data are not appropriate quantities
TypeError – If the input data are not quantities
Notes
Calculates
\[\frac{a_p \sin i}{c} = \frac{m_c \sin i}{(m_p+m_c)^{2/3}} G^{1/3}\left(\frac{P_b}{2\pi}\right)^{2/3}\]More details in Timing Models. Also see [8]