Main mean-motion orbital resonances between a fifth test planet and planets c or d in the Gliese 581 planetary system indicated on the a-e stability map in Fig. 2. (p + q)/p is equal to mean motion ratio of the two planets in resonance. q > 0 for inner resonances, q < 0 for outer resonances.
| Resonance . | (p + q)/p . | a . | p . | q . |
|---|---|---|---|---|
| . | . | (au) . | . | . |
| c1 | 7/8 | 0.0798 | 7 | −1 |
| c2 | 2/3 | 0.0956 | 2 | −1 |
| c3 | 5/8 | 0.0998 | 5 | −3 |
| c4 | 1/2 | 0.116 | 1 | −1 |
| c5 | 1/3 | 0.1518 | 1 | −2 |
| d1 | 7/3 | 0.124 | 3 | 4 |
| d2 | 2/1 | 0.137 | 1 | 1 |
| d3 | 5/3 | 0.155 | 3 | 2 |
| d4 | 3/2 | 0.166 | 2 | 1 |
| d5 | 7/5 | 0.174 | 5 | 2 |
| d6 | 4/3 | 0.18 | 3 | 1 |
| d7 | 5/4 | 0.188 | 4 | 1 |
| d8 | 6/5 | 0.192 | 5 | 1 |
| d9 | 7/8 | 0.238 | 7 | −1 |
| d10 | 3/4 | 0.264 | 3 | −1 |
| d11 | 2/3 | 0.2855 | 2 | −1 |
| d11 | 1/2 | 0.346 | 1 | −1 |
| d13 | 2/5 | 0.4014 | 2 | −3 |
| Resonance . | (p + q)/p . | a . | p . | q . |
|---|---|---|---|---|
| . | . | (au) . | . | . |
| c1 | 7/8 | 0.0798 | 7 | −1 |
| c2 | 2/3 | 0.0956 | 2 | −1 |
| c3 | 5/8 | 0.0998 | 5 | −3 |
| c4 | 1/2 | 0.116 | 1 | −1 |
| c5 | 1/3 | 0.1518 | 1 | −2 |
| d1 | 7/3 | 0.124 | 3 | 4 |
| d2 | 2/1 | 0.137 | 1 | 1 |
| d3 | 5/3 | 0.155 | 3 | 2 |
| d4 | 3/2 | 0.166 | 2 | 1 |
| d5 | 7/5 | 0.174 | 5 | 2 |
| d6 | 4/3 | 0.18 | 3 | 1 |
| d7 | 5/4 | 0.188 | 4 | 1 |
| d8 | 6/5 | 0.192 | 5 | 1 |
| d9 | 7/8 | 0.238 | 7 | −1 |
| d10 | 3/4 | 0.264 | 3 | −1 |
| d11 | 2/3 | 0.2855 | 2 | −1 |
| d11 | 1/2 | 0.346 | 1 | −1 |
| d13 | 2/5 | 0.4014 | 2 | −3 |
Main mean-motion orbital resonances between a fifth test planet and planets c or d in the Gliese 581 planetary system indicated on the a-e stability map in Fig. 2. (p + q)/p is equal to mean motion ratio of the two planets in resonance. q > 0 for inner resonances, q < 0 for outer resonances.
| Resonance . | (p + q)/p . | a . | p . | q . |
|---|---|---|---|---|
| . | . | (au) . | . | . |
| c1 | 7/8 | 0.0798 | 7 | −1 |
| c2 | 2/3 | 0.0956 | 2 | −1 |
| c3 | 5/8 | 0.0998 | 5 | −3 |
| c4 | 1/2 | 0.116 | 1 | −1 |
| c5 | 1/3 | 0.1518 | 1 | −2 |
| d1 | 7/3 | 0.124 | 3 | 4 |
| d2 | 2/1 | 0.137 | 1 | 1 |
| d3 | 5/3 | 0.155 | 3 | 2 |
| d4 | 3/2 | 0.166 | 2 | 1 |
| d5 | 7/5 | 0.174 | 5 | 2 |
| d6 | 4/3 | 0.18 | 3 | 1 |
| d7 | 5/4 | 0.188 | 4 | 1 |
| d8 | 6/5 | 0.192 | 5 | 1 |
| d9 | 7/8 | 0.238 | 7 | −1 |
| d10 | 3/4 | 0.264 | 3 | −1 |
| d11 | 2/3 | 0.2855 | 2 | −1 |
| d11 | 1/2 | 0.346 | 1 | −1 |
| d13 | 2/5 | 0.4014 | 2 | −3 |
| Resonance . | (p + q)/p . | a . | p . | q . |
|---|---|---|---|---|
| . | . | (au) . | . | . |
| c1 | 7/8 | 0.0798 | 7 | −1 |
| c2 | 2/3 | 0.0956 | 2 | −1 |
| c3 | 5/8 | 0.0998 | 5 | −3 |
| c4 | 1/2 | 0.116 | 1 | −1 |
| c5 | 1/3 | 0.1518 | 1 | −2 |
| d1 | 7/3 | 0.124 | 3 | 4 |
| d2 | 2/1 | 0.137 | 1 | 1 |
| d3 | 5/3 | 0.155 | 3 | 2 |
| d4 | 3/2 | 0.166 | 2 | 1 |
| d5 | 7/5 | 0.174 | 5 | 2 |
| d6 | 4/3 | 0.18 | 3 | 1 |
| d7 | 5/4 | 0.188 | 4 | 1 |
| d8 | 6/5 | 0.192 | 5 | 1 |
| d9 | 7/8 | 0.238 | 7 | −1 |
| d10 | 3/4 | 0.264 | 3 | −1 |
| d11 | 2/3 | 0.2855 | 2 | −1 |
| d11 | 1/2 | 0.346 | 1 | −1 |
| d13 | 2/5 | 0.4014 | 2 | −3 |
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