A different transiting planet gives , , ,

PHYSICS · Multi-part · Fermi University Physics · Astrophysics & Cosmology · Celestial mechanics and planetary systems · Celestial mechanics and planetary systems

Stars from the Inside, Ch Planetary systems: formation estimates, transits and the atmospheres of other worlds

Problem

A different transiting planet gives

\delta = 0.0200

P = 2.50\,\mathrm{d}

T_{14} = 2.80\,\mathrm{h}

T_{23} = 2.00\,\mathrm{h}

. Assume a circular, near edge-on orbit and the duration relations of the previous problem. ((a)) Find

k

b

and

a/R_*

. ((b)) Find

\rho_*

. ((c)) The star has

v\sin i_* = 5.0\,\mathrm{km\,s^{-1}}

. During transit the radial-velocity anomaly rises to

+40\,\mathrm{m\,s^{-1}}

(redshifted) in the first half and then swings to

-55\,\mathrm{m\,s^{-1}}

(blueshifted) in the second half, an asymmetric, time-skewed pattern. Compute the maximum anomaly expected for an aligned orbit and say what the observed asymmetry implies about

\lambda

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