Pulsar Timing and Orbital Parameters for PSR J0653+0443
PSR J0653+0443 spins at a rate of 21.036552768034 hertz while maintaining an orbital eccentricity of 0.99238692, according to timing data collected across 342 observations between Modified Julian Dates 59902 and 60804.
Timing Measurements And Orbital Parameters
The pulsar’s right ascension is registered at 06h 53m 04.57459s with an uncertainty of 0.00024s, while its declination stands at +04 degrees 43 minutes 16.349 seconds with a 0.013-arcsecond uncertainty in J2000 coordinates. Proper motion in right ascension is recorded at -10 mas per year with a 5 mas per year uncertainty, and proper motion in declination registers at -4 mas per year with a 12 mas per year uncertainty. The spin frequency derivative is measured at (-5.09 ± 0.06) × 10^-17 Hz per second, backed by a dispersion measure of 27.419 pc cm^-3 and a rotation measure of 21.4 rad m^-2. Flux density at 1250 MHz reaches 102.2 microjanskys under Barycentric Coordinate Time units using the DE440 Solar System ephemeris.
Orbital period calculations place the system at 79.08406184 days, with the epoch of periastron occurring at MJD 60725.59202195. The projected semi-major axis spans 125.539 light-seconds, and the longitude of periastron is fixed at 44.018 degrees. Additional projected components include a zeta-one parameter of 87.905453 light-seconds and a zeta-two parameter of 11.118 light-seconds, paired with a delta-e value of 0.1231593.
Derived Masses And Evolutionary Constraints
Model-derived parameters establish a spin period of 0.04753630554525 seconds with a period derivative of 1.150 × 10^-19 s/s. The characteristic age of the pulsar is calculated at 6.6 gigayears, supported by a surface magnetic field of 2.4 × 10^9 gauss and a spin-down luminosity of 4.2 × 10^31 erg per second. Distance estimates diverge depending on the galactic electron density model utilized, yielding 0.2 kiloparsecs under the NE2001 model and 1.3 kiloparsecs under the YMW16 model.
Mass determinations provide a companion mass of 1.44 solar masses alongside a total system mass of 2.814 solar masses, derived from a mass function of 0.33966 solar masses. The periastron advance rate is quantified at 0.017791 degrees per year, while the calculated coalescence timescale sits at 2.5 gigayears. Best-fit values derived from chi-squared analysis further refine these figures, placing the pulsar mass at 1.38 solar masses, companion mass at 1.44 solar masses, total mass at 2.814 solar masses, and orbital inclination at 76 degrees, alongside an Einstein delay of 45 milliseconds.