Post-Newtonian effects on some characteristic time-scales of transiting exoplanets
نویسندگان
چکیده
ABSTRACT Some measurable characteristic time-scales {ttrn} of transiting exoplanets are investigated in order to check preliminarily if their cumulative shifts over the years induced by post-Newtonian (pN) gravitoelectric (Schwarzschild) and gravitomagnetic (Lense–Thirring) components stellar gravitational field are, at least principle, measurable. Both primary (planet front star) secondary behind transits considered along with associated time intervals: total transit duration tD, ingress/egress $\tau$, full-width half maximum tH, also conjunction tcj. For each them, net changes per orbit $\left\langle \Delta t_D\right\rangle ,\, \left\langle \tau\right\rangle t_H\right\rangle t_\mathrm{cj}\right\rangle$ aforementioned pN accelerations analytically obtained; Newtonian effect star’s quadrupole mass moment $J_2^\star$ is worked out. They calculated for a fictitious Sun-Jupiter system an edge-on elliptical orbit, results compared present-day experimental accuracies HD 286123 b exoplanet. Its shift t_\mathrm{cj}^\mathrm{1pN}\right\rangle$ may become measurable, ≃8 × 10−5 level (formal) relative accuracy after about 30 yr continuous monitoring corresponding 1000 transits. Systematics like, e.g. confusing standards, neglecting star-spots, clouds, additional planets system, etc. would likely deteriorate actual accuracy. The method presented general enough be applied modified models gravity.
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2022
ISSN: ['0035-8711', '1365-8711', '1365-2966']
DOI: https://doi.org/10.1093/mnras/stac2610