Three-body periodic collisionless equal-mass free-fall orbits revisited
(arXiv:2308.16159, Celestial Mechanics and Dynamical Astronomy, 136, 7 (2024))

Ivan Hristov, Radoslava Hristova, Veljko Dmitrasinovic, Kiyotaka Tanikawa

Download (pdf) supplementary document for 35 correct digits data in the form (x, y, T, T*) for all 24,582 i.c.s

Download (txt) file with 80 correct digits data in the form (x, y, T, T*) ordered by T* for all 24,582 i.c.s

Download (txt) file with 80 correct digits data in the form (x, y, T, T*) ordered by T* for all 236 self-dual (symmetric) solutions

Download (tar.gz) file with real-space plots for the first 600 i.c.s ordered by T*

Download (tar.gz) file with real-space plots as tar.gz file for all 236 self-dual (symmetric) solutions ordered by T*


NEW! Instability of three-body periodic collisionless equal-mass free-fall orbits (Journal of Physics: Conf. Ser. 2910 012030 (2024))

NEW! Download (txt) the four eigenvalues, which determine the stability and their absolute values for all 24,582 i.c.s

NEW! Download (txt) max(abs(eigenvalues)) (first column) and ln(max(abs(eigenvalues)))=maximum Lyapunov exponent (second column) for all 24,582 i.c.s


Table for the self-dual (symmetric) solutions

N x, y, T, T* with 80 correct digits Real-space plots Half symbolic sequece Half length Permutation
1 data1.txt 13213 5 (13)
2 data2.txt 131321313 9 (13)
3 data3.txt 131231232 9 (12)
4 data4.txt 131323131 9 e
5 data5.txt 131323131 9 e
6 data6.txt 131232131 9 e
7 data7.txt 1321321321 10 (23)
8 data8.txt 1313132131313 13 (13)
9 data9.txt 1313123123232 13 (12)
10 data10.txt 1313132313131 13 e
11 data11.txt 1313123213131 13 e
12 data12.txt 1313132313131 13 e
13 data13.txt 132132132132 12 (12)
14 data14.txt 132312123132 12 (12)
15 data15.txt 1321323231231 13 e
16 data16.txt 1321321231231 13 e
17 data17.txt 13132311232121 14 (23)
18 data18.txt 13131313213131313 17 (13)
19 data19.txt 13131312312323232 17 (12)
20 data20.txt 13131313231313131 17 e
21 data21.txt 13131312321313131 17 e
22 data22.txt 13131313231313131 17 e
23 data23.txt 132132323231231 15 e
24 data24.txt 132132121231231 15 e
25 data25.txt 1313213213213232 16 (12)
26 data26.txt 1313231212313232 16 (12)
27 data27.txt 132131321313213 15 (13)
28 data28.txt 132131231232132 15 (12)
29 data29.txt 13213232323231231 17 e
30 data30.txt 132131232131231 15 e
31 data31.txt 132132132132132 15 (12)
32 data32.txt 13132312121323131 17 e
33 data33.txt 13213212121231231 17 e
34 data34.txt 131313131231232323232 21 (12)
35 data35.txt 131313231123212121 18 (23)
36 data36.txt 131313131323131313131 21 e
37 data37.txt 131313131323131313131 21 e
38 data38.txt 1323121321312321 16 (23)
39 data39.txt 131323121212313232 18 (12)
40 data40.txt 132132121212132132 18 (12)
41 data41.txt 132132121212132132 18 (12)
42 data42.txt 131323121212313232 18 (12)
43 data43.txt 1321323232323231231 19 e
44 data44.txt 13213132132121321 17 (23)
45 data45.txt 13231123123112321 17 (23)
46 data46.txt 13213213213213213 17 (13)
47 data47.txt 1321321212121231231 19 e
48 data48.txt 13231213213231213 17 (13)
49 data49.txt 1313231212121323131 19 e
50 data50.txt 13131321321321323232 20 (12)
51 data51.txt 13131323121231323232 20 (12)
52 data52.txt 13213212121212132132 20 (12)
53 data53.txt 13213212121212132132 20 (12)
54 data54.txt 132132123123213213 18 (13)
55 data55.txt 13132312121212313232 20 (12)
56 data56.txt 13132312121212313232 20 (12)
57 data57.txt 132312132132123132 18 (12)
58 data58.txt 1321321132133213213 19 (13)
59 data59.txt 1313231213212313232 19 (12)
60 data60.txt 1313231123211323131 19 e
61 data61.txt 1313231213212313232 19 (12)
62 data62.txt 131313231212132313131 21 e
63 data63.txt 1313131313132313131313131 25 e
64 data64.txt 1321321123211231231 19 e
65 data65.txt 1321321132311231231 19 e
66 data66.txt 1313131313132313131313131 25 e
67 data67.txt 132132121212121231231 21 e
68 data68.txt 1321321123211231231 19 e
69 data69.txt 1312321132311232131 19 e
70 data70.txt 1313131323112321212121 22 (23)
71 data71.txt 131323121212121323131 21 e
72 data72.txt 1321313123213131231 19 e
73 data73.txt 1321313123213131231 19 e
74 data74.txt 1323121123211213231 19 e
75 data75.txt 1323112132312113231 19 e
76 data76.txt 1323112132312113231 19 e
77 data77.txt 1323112132312113231 19 e
78 data78.txt 1313132312121231323232 22 (12)
79 data79.txt 13132312132131232121 20 (23)
80 data80.txt 1321321212121212132132 22 (12)
81 data81.txt 1321321212121212132132 22 (12)
82 data82.txt 1313132312121231323232 22 (12)
83 data83.txt 1313231212121212313232 22 (12)
84 data84.txt 1313231212121212313232 22 (12)
85 data85.txt 13213212132131321321 20 (23)
86 data86.txt 13213212121212121231231 23 e
87 data87.txt 13131323121212132313131 23 e
88 data88.txt 131323121231212313232 21 (12)
89 data89.txt 13132312121212121323131 23 e
90 data90.txt 131323113213211232121 21 (23)
91 data91.txt 131323112312311232121 21 (23)
92 data92.txt 131323121321323121313 21 (13)
93 data93.txt 131313132312123132323232 24 (12)
94 data94.txt 132132121321323213213 21 (13)
95 data95.txt 132132121321323213213 21 (13)
96 data96.txt 132132121321323213213 21 (13)
97 data97.txt 132132121212121212132132 24 (12)
98 data98.txt 132132121212121212132132 24 (12)
99 data99.txt 131313231212121231323232 24 (12)
100 data100.txt 131321321212121213213232 24 (12)
101 data101.txt 131321321212121213213232 24 (12)
102 data102.txt 131313231212121231323232 24 (12)
103 data103.txt 131323121212121212313232 24 (12)
104 data104.txt 131323121212121212313232 24 (12)
105 data105.txt 1313231212312323121313 22 (13)
106 data106.txt 13131313131313231313131313131 29 e
107 data107.txt 1313131323121213231313131 25 e
108 data108.txt 1321321212312323213213 22 (13)
109 data109.txt 13131313132311232121212121 26 (23)
110 data110.txt 13131323112321132313131 23 e
111 data111.txt 13131323121321231323232 23 (12)
112 data112.txt 1321321212121212121231231 25 e
113 data113.txt 1313231213213212313232 22 (12)
114 data114.txt 13131232112321123213131 23 e
115 data115.txt 13131232113231123213131 23 e
116 data116.txt 1313132312121212132313131 25 e
117 data117.txt 1313231212121212121323131 25 e
118 data118.txt 13132312121321212313232 23 (12)
119 data119.txt 13132312112321121323131 23 e
120 data120.txt 13213212121321212132132 23 (12)
121 data121.txt 13132311312321311323131 23 e
122 data122.txt 13132312121321212313232 23 (12)
123 data123.txt 13123212112321121232131 23 e
124 data124.txt 13132132123123132132121 23 (23)
125 data125.txt 13213212121321212132132 23 (12)
126 data126.txt 13213212121212121212132132 26 (12)
127 data127.txt 13213212121212121212132132 26 (12)
128 data128.txt 13131313231212123132323232 26 (12)
129 data129.txt 131313231213213123212121 24 (23)
130 data130.txt 13132132121212121213213232 26 (12)
131 data131.txt 13132132121212121213213232 26 (12)
132 data132.txt 13131323121212121231323232 26 (12)
133 data133.txt 13131323121212121231323232 26 (12)
134 data134.txt 131323121213213131232121 24 (23)
135 data135.txt 131313132312121213231313131 27 e
136 data136.txt 131321321212121212123123131 27 e
137 data137.txt 131321321212121212123123131 27 e
138 data138.txt 131323121212121212121323131 27 e
139 data139.txt 131313231212121212132313131 27 e
140 data140.txt 1313132311321321123212121 25 (23)
141 data141.txt 1313132311231231123212121 25 (23)
142 data142.txt 1313131313231212313232323232 28 (12)
143 data143.txt 1323112121231231313112321 25 (23)
144 data144.txt 1313132312132132312131313 25 (13)
145 data145.txt 1321321212121212121212132132 28 (12)
146 data146.txt 1313131323121212123132323232 28 (12)
147 data147.txt 1313213212121212121213213232 28 (12)
148 data148.txt 1313213212121212121213213232 28 (12)
149 data149.txt 131313131313131323131313131313131 33 e
150 data150.txt 1313132312121212121231323232 28 (12)
151 data151.txt 1321321212132132323213213 25 (13)
152 data152.txt 1313231212132132323121313 25 (13)
153 data153.txt 1313132312121212121231323232 28 (12)
154 data154.txt 131323121321213212313232 24 (12)
155 data155.txt 131323121321321323121313 24 (13)
156 data156.txt 13131313132312121323131313131 29 e
157 data157.txt 13131323121231232312131313 26 (13)
158 data158.txt 131323121321321323121313 24 (13)
159 data159.txt 131313131313231123212121212121 30 (23)
160 data160.txt 132132121321213212132132 24 (12)
161 data161.txt 132132112321132311321321 24 (23)
162 data162.txt 132132121321213212132132 24 (12)
163 data163.txt 131313132312132123132323232 27 (12)
164 data164.txt 132132131231312313213213 24 (13)
165 data165.txt 132132131231312313213213 24 (13)
166 data166.txt 132132121321321323213213 24 (13)
167 data167.txt 13131313231212121213231313131 29 e
168 data168.txt 13132132121212121212123123131 29 e
169 data169.txt 13132132121212121212123123131 29 e
170 data170.txt 13132312121212121212121323131 29 e
171 data171.txt 13132312121231232323121313 26 (13)
172 data172.txt 13131323121212121212132313131 29 e
173 data173.txt 13132312121212121212121323131 29 e
174 data174.txt 131313131323121212313232323232 30 (12)
175 data175.txt 131313131323121212313232323232 30 (12)
176 data176.txt 131313231212312313123212121 27 (23)
177 data177.txt 131313231212132121231323232 27 (12)
178 data178.txt 131313231131232131132313131 27 e
179 data179.txt 131321321212132121213213232 27 (12)
180 data180.txt 131321321212132121213213232 27 (12)
181 data181.txt 131321321212121212121213213232 30 (12)
182 data182.txt 131313132312121212123132323232 30 (12)
183 data183.txt 131321321212121212121213213232 30 (12)
184 data184.txt 131313213212121212121321323232 30 (12)
185 data185.txt 131313213212121212121321323232 30 (12)
186 data186.txt 131313132312121212123132323232 30 (12)
187 data187.txt 131323121212132121212313232 27 (12)
188 data188.txt 131232121212132121212131232 27 (12)
189 data189.txt 131313231212121212121231323232 30 (12)
190 data190.txt 131323121212132121212313232 27 (12)
191 data191.txt 131313231212121212121231323232 30 (12)
192 data192.txt 1313131313231212121323131313131 31 e
193 data193.txt 13132312123123123131232121 26 (23)
194 data194.txt 1313132312121321313123212121 28 (23)
195 data195.txt 1313213212121212121212123123131 31 e
196 data196.txt 1313213212121212121212123123131 31 e
197 data197.txt 1313231212121212121212121323131 31 e
198 data198.txt 1313131323121212121213231313131 31 e
199 data199.txt 13131313131323121231323232323232 32 (12)
200 data200.txt 1313132312121212121212132313131 31 e
201 data201.txt 13131313231132132112321212121 29 (23)
202 data202.txt 13131313231123123112321212121 29 (23)
203 data203.txt 1313231212121212121212121323131 31 e
204 data204.txt 1313231212121321313131232121 28 (23)
205 data205.txt 13131313231213213231213131313 29 (13)
206 data206.txt 13213212121212121212121212132132 32 (12)
207 data207.txt 13131313132312121212313232323232 32 (12)
208 data208.txt 1313131313131313132313131313131313131 37 e
209 data209.txt 13131313132312121212313232323232 32 (12)
210 data210.txt 13132132121212121212121213213232 32 (12)
211 data211.txt 13132132121212121212121213213232 32 (12)
212 data212.txt 13131321321212121212121321323232 32 (12)
213 data213.txt 13131321321212121212121321323232 32 (12)
214 data214.txt 131323121231232132121323131 27 e
215 data215.txt 131313131313231212132313131313131 33 e
216 data216.txt 13131323121212121212121231323232 32 (12)
217 data217.txt 13131313231212121212123132323232 32 (12)
218 data218.txt 13131323121212121212121231323232 32 (12)
219 data219.txt 13131323121213213232312131313 29 (13)
220 data220.txt 13132132121213213232321321313 29 (13)
221 data221.txt 1313131313231213212313232323232 31 (12)
222 data222.txt 13132132121213213232321321313 29 (13)
223 data223.txt 1313132311232113231123212121 28 (23)
224 data224.txt 13132312121213213232323121313 29 (13)
225 data225.txt 131313131323121212121323131313131 33 e
226 data226.txt 131321321212121212121212123123131 33 e
227 data227.txt 131323121212121212121212121323131 33 e
228 data228.txt 131321321212121212121212123123131 33 e
229 data229.txt 1313213211232113231132132121 28 (23)
230 data230.txt 131313132312121212121213231313131 33 e
231 data231.txt 131313231212121212121212132313131 33 e
232 data232.txt 131323121212121212121212121323131 33 e
233 data233.txt 1313131313132312121231323232323232 34 (12)
234 data234.txt 131313231212123123232312131313 30 (13)
235 data235.txt 1313131313132312121231323232323232 34 (12)
236 data236.txt 131313231212121212121212132313131 33 e