We investigate whether certain extra-solar multi-planet systems simultaneously follow the scaling and spacing rules of the angular-momentum-deficit model. The masses and semi-major axes of exoplanets in ten multi-planet systems are considered. It is found that GJ 667C, HD 215152, HD 40307, and Kepler-79 systems are currently close to configurations of the angular-momentum-deficit model. In a gas-poor scenario, GJ 3293, HD 141399, and HD 34445 systems are those which had a configuration of the angular-momentum-deficit model in the past and get scattered away due to post gaseous effects. In addition, no matter in gas-free or gas-poor scenario, 55 Cnc, GJ 876, and WASP-47 systems do not follow the angular-momentum-deficit model. Therefore, our results reveal important formation histories of these multi-planet systems.

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关于太阳系外多行星系统的尺度和间距

我们调查某些太阳系外多行星系统是否同时遵循角动量缺陷模型的缩放和间隔规则。考虑了十个多行星系统中系外行星的质量和半长轴。发现 GJ 667C、HD 215152、HD 40307 和 Kepler-79 系统目前接近角动量缺陷模型的配置。在气体贫乏的情况下，GJ 3293、HD 141399 和 HD 34445 系统是过去具有角动量缺陷模型配置并由于后气体效应而分散的系统。此外，无论在无气或贫气情况下，55 Cnc、GJ 876和WASP-47系统都不遵循角动量赤字模型。因此，我们的结果揭示了这些多行星系统的重要形成历史。