PSR J0514–4002A is a 5‐ms pulsar is located in the globular cluster NGC 1851; it belongs to a highly eccentric (e = 0.888) binary system. It is one of the earliest known examples of a numerous and fast‐growing class of eccentric binary MSPs recently discovered in globular clusters. Using the GBT, we have obtained a phase‐coherent timing solution for the pulsar, which includes a measurement of the rate of advance of periastron ω̇ = 0.01289(4)° yr−1, which if due completely to general relativity, implies a total system mass of 2.453(14)M; we also derive mp<1.5M and mc>0.96M. The companion is likely to be a massive white dwarf star.

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