Wei Zhu (祝伟)
Astrophysical Dynamics, Shanghai
(Based on Madsen & Zhu, 2019, ApJL, 878, 29)
Sabrina Madsen
Mao & Paczynski (1991); Gould & Loeb (1992); Gaudi (2012)
For typical disk surface density profile (\( \Sigma \propto r^{-1} \) or \( \propto r^{-3/2} \) ), there is more mass in the outer region
Orbital period: years
planetary perturbation: days
Mao & Paczynski (1991); Gould & Loeb (1992); Gaudi (2012)
OGLE-2006-BLG-109
Fabrycky & Murray-Clay (2010)
(see also Wang et al. 2018)
b
c
d
Marois et al. (2008)
planet 2
planet 1
Han et al. (2013)
(see also Beaulieu et al. 2016)
Both planets inside Einstein ring
Both planets outside Einstein ring
Madsen & Zhu, 2019, ApJL, 878, 29
planet 2
planet 1
planet 2
planet 1
Madsen & Zhu, 2019, ApJL, 878, 29
Hadden & Lithwick (2018)
Pluto & Neptune
Mean-motion resonances
Eccentric orbits & in MMRs
Nearly circular orbits & out of MMRs
Madsen & Zhu, 2019, ApJL, 878, 29
MMR
non-MMR (probably)
Madsen & Zhu, 2019, ApJL, 878, 29
Lee & Peale (2002)
Evolution of GJ 876 system
MMR
non-MMR (probably)
planet 2
planet 1
Madsen & Zhu, 2019, ApJL, 878, 29
Pollack et al. (1996)
Suzuki et al. (2016)
(see Herman, Zhu, & Wu 2019 for the radius distribtuion)
OB120026L:
HATNet
Keck
Hot Jupiters
(~1%)
Cold Jupiters
(~10%)
Cold Neptunes
(?)
Super Earths
(30%)
(Zhu et al. 2018)
Hot Jupiters have distant companions
(Knutson et al. 2014)
Hot Jupiters are lonely (Steffen et al. 2010)
Super Earths & cold Jupiters tend to co-exist
(Zhu & Wu 2018)
Data from NASA Exoplanet Archive
Skowron et al. (2011); Yee et al. (2016)
(OGLE-2006-BLG-109, Gaudi et al. 2008, Bennett et al. 2010;
OGLE-2016-BLG-1190, Ryu et al. 2018;
Gaia16aye, Wyrzykowski et al. 2019)
Beaulieu et al. (2016)
OGLE-2006-BLG-109: A Jupiter/Saturn analog
Gaudi et al. (2008); Bennett et al. (2010)