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Table 1

Osculating orbital elements for a given date of two hypothetical co-orbital systems orbiting a solar-mass star.

Tadpole Horseshoe
Param. planet 1 planet 2 planet 1 planet 2

m [M] 200 100 17.15 3.00
a [au] 0.0987 0.1013 0.1 0.1
λ [deg] 0 300 0 339
e 0.05 0.05 0 0
ϖ[deg] 0 300 0 0
I [deg] 60 60 90 90
 [km s-1] 6.500 6.500

 [au] 0.09955 0.10000
ζ0 [deg] 37.00 21.00
δ 0.3333 0.1488

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