Table 5.
Gravitational moments of the N = 1 polytrope found by different methods, compared with the analytical values.
| Analytical values⋆ | ToF, 3rd order* | CMS, Nsph = 512† | CMS, Nsph = 512‡ | RUBIS | |
|---|---|---|---|---|---|
| q | 0.089195487 | 0.089195487 | 0.089195487 | 0.089195487 | 0.089195487 |
| J2 × 102 | 1.3988511 |  |
 |
 |
1.3988511 |
| J4 × 104 | −5.3182810 |  |
 |
 |
−5.3182810 |
| J6 × 105 | 3.0118323 |  |
 |
 |
3.0118323 |
| J8 × 106 | −2.1321157 | — |  |
 |
 |
| J10 × 107 | 1.7406712 | — |  |
— |  |
| J12 × 108 | −1.5682195 | — |  |
— |  |
| J14 × 109 | 1.5180992 | — |  |
— |  |
Notes. Red decimals indicate inaccurate digits, and grey decimals indicate digits subject to numerical error (see text).
References. ( ⋆ )Wisdom & Hubbard (2016), ( * )Hubbard (1975), Zharkov & Trubitsyn (1978), ( † )Hubbard (2013), ( ‡ )Debras & Chabrier (2018).
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