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Table A.1

Initial conditions of the families 1–20 of asymmetric periodic orbits in 2/1 MMR.

Family x′ x y ẋ ẏ e1 e2 ΔM (°) Δϖ (°)
1 0.72331794750700 0.49013195157962 −1.82695158386230 −2.65478370333012 −0.56701605244671 1.69319527200545 0.0860163 0.5580729 218.65 91.50
2 0.63321025768200 1.59453165011230 −5.67590694541681 −14.45329652263383 −4.13526567777250 2.57025981145974 0.6789292 0.9161948 151.02 108.89
3 0.63047186508700 −1.88248865529942 −2.29632923979982 −5.16928490819296 4.46273668460205 2.39803573831806 0.4425901 0.7593570 232.63 39.13
4 0.63087376727600 −0.87705151805361 1.12691498748010 2.01174310935965 1.21087189099085 2.08389129602805 0.0914706 0.4816108 254.06 275.54
5 0.63420301291300 0.29197254892169 1.00974268447896 1.13065744890431 −0.79803090077487 2.12456885857444 0.1525533 0.4513824 309.80 176.68
6 0.64118423931800 −4.29365702951665 −7.33451899022320 −18.90829479679702 11.11113087802684 2.59393188047815 0.7754161 0.8898140 197.72 57.38
7 0.71748622583200 −2.70800622071297 1.20843227804079 −2.24367758267459 −5.45250914881905 −1.90233251403904 0.3379752 0.8213934 230.83 326.88
8 0.63482968402900 −1.49288772007308 0.06759364911299 −0.00782516489640 2.40969738972048 2.02132884454501 0.0463576 0.4498677 148.07 11.19
9 0.65735722962700 1.33246033480411 3.48610081445896 7.86138858484334 −2.87474461680602 2.30083405955404 0.5052528 0.8297413 140.02 255.90
10 0.63399837094100 3.98254236120459 0.05416001257745 −0.17928506911680 −9.87884493186210 2.51705575134906 0.6161609 0.9297257 280.26 169.18
11 0.63283580598800 −1.26763539799044 2.49305681758722 5.49108002978163 2.85458239643100 2.29401432064642 0.3350573 0.8560322 164.23 299.33
12 0.67042901657400 3.89621469591328 0.28658199996032 0.33580079990540 −8.79611297676496 2.30107791124568 0.5971863 0.8863193 280.05 168.93
13 0.63101207035900 0.43965427972022 −1.86340151687343 −3.57720228268502 −0.90767835138654 2.18411803952933 0.1997748 0.5404727 162.61 109.47
14 0.63457627583700 0.10193714593901 −2.17451765594779 −4.40347076044376 −0.24683242373353 2.22618108772643 0.2676723 0.5874529 168.38 96.42
15 0.63556300684100 0.15692422204782 −1.81467973423677 −3.34196530655382 −0.31953595751770 2.12490532903941 0.1603514 0.5207836 171.53 98.07
16 0.72887955161100 −1.24078151598096 −2.06919285860216 −3.27703304247117 2.04486448137144 1.72920803153639 0.1590343 0.7698991 198.62 55.24
17 0.69323912398600 −1.14722098636553 −1.90205344064335 −3.20352292114426 1.99917787967515 1.85996720106556 0.1537037 0.7203409 195.34 55.30
18 0.63929871699400 −2.00041668747959 1.31858790683704 3.42097602853642 4.26683084450913 2.37565322811402 0.4760875 0.9055175 304.98 307.25
19 0.64773137699600 −1.10753033827687 −1.51623982336362 −2.64158658109620 2.03671753399746 1.98344156055357 0.0701832 0.7175660 201.31 48.79
20 0.72914027110900 1.94120755448657 1.12322966108835 1.80321403347542 −2.93121977382635 1.64752624143655 0.0532524 0.8560548 156.53 213.60

Notes. Initial conditions of the families 1–20 of asymmetric periodic orbits in 2/1 MMR in coordinates of the rotating frame ( being the angular velocity of the Ox-axis with respectto the inertial frame) of ERTBP shown in Figs. A.1–A.4. We also provide the eccentricities and the angles ΔM = M2 − M1 and Δ ϖ = ϖ2 − ϖ1. The orbits start with ẋ′ = 0 and are unstable.

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