pint.derived_quantities.omdot
- pint.derived_quantities.omdot(mp: Unit('solMass'), mc: Unit('solMass'), pb: Unit('d'), e: Unit(dimensionless))[source]
Post-Keplerian longitude of periastron precession rate omdot, assuming general relativity.
omdot (\(\dot \omega\)) is the relativistic advance of periastron. 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
e (astropy.units.Quantity or float) – orbital eccentricity
- Returns:
omdot – In
u.deg/u.yr- Return type:
- Raises:
astropy.units.UnitsError – If the input data are not appropriate quantities
TypeError – If the input data are not quantities
Notes
Calculates
\[\dot \omega = 3T_{\odot}^{2/3} \left(\frac{P_b}{2\pi}\right)^{-5/3} \frac{1}{1-e^2}(m_p+m_c)^{2/3}\]with \(T_\odot = GM_\odot c^{-3}\).
More details in Timing Models. Also see [7].