Figure 7.
![Orbital flip fraction as a function of inclinations and hierarchy (i.e. outer and inner semimajor axis ratios). The flip fraction is calculated for each combination of the inclination and semimajor axis ratio aper/a by performing 20 integrations with a range of Ω values between 0 and 2π in steps of 0.1π. All integrations have the initial parameters ω = 0, eper = 0.2, e = 0.2 and mper/m = 1. The results for integrations using the DA equations are shown in the left-hand panel and those using the CDA equations in the right-hand panel. The fraction (among the 20 runs) is illustrated by using different colour – blue = 0, magenta = (0,0.25], cyan = (0.25,0.5], green = (0.5,0.75], yellow = (0.75,1), red = 1.](https://oup.silverchair-cdn.com/oup/backfile/Content_public/Journal/mnras/458/3/10.1093_mnras_stw475/2/stw475fig7.jpeg?Expires=1749988931&Signature=yABui5EDIu1bFS0~gX6Gfm~RXJT9R8s5EzmM2biWl~O4R~7QF2Hfg6RWDuH7GwaYAiOIIIUGMwF8J3eJWoTDJykpVQTZCA5q7BGStJe63wJdfFaEIsH8zUbZEPIP9Zoa~fqpMWa7cTJoA8va6HTKG2w2VxmRuyTNssqrjAevnZgz-PrT9gSHAXWI-K7Hd233kJWK3Sth0gyltZ~WyL5-hsYoAvAaLd~GxvMf~y4ED7l120RribPSPv2ohvvU5ykmSQAy84j7MXaoIjtP-M2Vk2zIcW6m7tfTOKt1rJjXSl34VEsTe6SZvDqV-sjGHGZkk~DdtS3k2xgDOXI2d3sK1A__&Key-Pair-Id=APKAIE5G5CRDK6RD3PGA)
Orbital flip fraction as a function of inclinations and hierarchy (i.e. outer and inner semimajor axis ratios). The flip fraction is calculated for each combination of the inclination and semimajor axis ratio aper/a by performing 20 integrations with a range of Ω values between 0 and 2π in steps of 0.1π. All integrations have the initial parameters ω = 0, eper = 0.2, e = 0.2 and mper/m = 1. The results for integrations using the DA equations are shown in the left-hand panel and those using the CDA equations in the right-hand panel. The fraction (among the 20 runs) is illustrated by using different colour – blue = 0, magenta = (0,0.25], cyan = (0.25,0.5], green = (0.5,0.75], yellow = (0.75,1), red = 1.
