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Equation 10 · Part 2 · A Neutron Star Is a Redshift Standard

Symbol M_odot

M=1.418±0.037 M⊙M=1.418\pm0.037\,M_\odot
M⊙M_\odot

What this part means

MoM_odot is an input to the expression that computes the quantity on the left.

Its job in the formula

MoM_odot is an input to the expression that computes the quantity on the left.

The passage around this formula

— a function of the star’s compactness alone, so that whatever fraction of a percent of uncertainty NICER puts on M and R propagates directly into the redshift. The paper works through six NICER-mapped pulsars this way, and two of them mark the range worth remembering. PSR J0740+6620, the most massive precisely-timed neutron star known, comes in at roughly 2.07\,M⊙M_\odot with a radio-timing mass fixed independently by Shapiro delay to 2.08±\pm0.07\,M⊙M_\odot [ 4 ] , giving a compactness near 0.25 and a surface redshift zsz_s≃\simeq0.40 — the deepest gravitational potential in the sample, though also, because its radius is the harder-measured half of the pair, the least precisely known redshift, at…

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