Journal of astrophysics and astronomy | |
Constraining the Relative Inclinations of the Planets B and C of the Millisecond Pulsar PSR B1257+12 | |
Lorenzo Iorio11  | |
[1] Ministero dell’Istruzione, dell’Università e della Ricerca, Viale Unità di Italia 68, 70125, Bari (BA), Italy.$$ | |
关键词: Planetary systems; pulsars: general; individual; (PSR B1257+12); extrasolar planets.; | |
DOI : | |
学科分类:天文学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
We investigate on the relative inclination of the planets B and C orbiting the pulsar PSR B1257+12. First, we show that the third Kepler’s law does represent an adequate model for the orbital periods 𑃠of the planets, because other Newtonian and Einsteinian corrections are orders of magnitude smaller than the accuracy in measuring ð‘ƒB/C. Then, on the basis of available timing data, we determine the ratio sin ð‘–C/ sin ð‘–B = 0.92 ± 0.05 of the orbital inclinations ð‘–B and ð‘–C independently of the pulsar’s mass ð‘€. It turns out that coplanarity of the orbits of B and C would imply a violation of the equivalence principle. Adopting a pulsar mass range 1 ≲ 𑀠≲ 3, in solar masses (supported by present-day theoretical and observational bounds for pulsar’s masses), both face-on and edge-on orbital configurations for the orbits of the two planets are ruled out; the acceptable inclinations for B span the range 36 deg ≲ ð‘–B ≲ 66 deg, with a corresponding relative inclination range 6 deg ≲ (ð‘–C − ð‘–B) ≲ 13 deg.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040493560ZK.pdf | 431KB | download |