def Beta22_1(X):
  """ Coefficient for the 1PN tidal correction to h_22 mode
   Defined in arXiv:1203.4352, eqn A15
   Input
     X -- mass fraction of object being tidally deformed
   Output
     double, coeff for 1PN tidal correction to h_22 mode """ 

  return (-202.+560.*X-340.*X*X+45.*X*X*X)/42./(3.-2.*X)