t_merge_mandel_fit

legwork.evol.t_merge_mandel_fit(ecc_i)[source]

A fit to the Peters 1964 merger time equation (5.14) by Ilya Mandel. This function gives a factor which, when multiplied by the circular merger time, gives the eccentric merger time with 3% errors. We add a rudimentary polynomial fit to further reduce these errors to within 0.5%. ADS Link: https://ui.adsabs.harvard.edu/abs/2021RNAAS…5..223M/abstract

Parameters
ecc_ifloat/array

Initial eccentricity

Returns
factorfloat/array

Factor by which to multiply the circular merger timescale by to get the overall merger time.