... The absolute magnitude of the RCBs in the LMC and the small number of Galactic RCBs implies that they are very rare stars. Together with statistics for related stars, the total number of hydrogen-deficient stars in the Galaxy is estimated to be about 1000. Whilst the luminosity of RCBs is similar to that of other low-mass stars as they evolve rapidly from the asymptotic RED GIANT branch to become WHITE DWARFS , their frequency is much lower. ...

RECURSIVE FUNCTION ADAPTIVE_QUAD (F, A, B, TOL , ABS_ERROR ) RESULT ( RESULT ) IMPLICIT NONE INTERFACE FUNCTION F(X) RESULT (FUNCTION_VALUE) REAL , INTENT(IN) :: X REAL :: FUNCTION_VALUE END FUNCTION F END INTERFACE REAL , INTENT(IN) :: A, B, TOL REAL , INTENT(OUT) :: ABS_ERROR REAL :: RESULT REAL :: STEP , MIDDLE_POINT ...