Saturday, June 25, 2022

Stability of three new systems

Back to COPAINS. Let's return to HIP 29724 by way of HD 60584.

HD 60584 has proven an (?)accidental binary, F5V+F6V. CC1 is the closer to us at parallax 32.792 ± 0.035. This star weighs in at 1.352 ± 0.014 M. The two stars are not gravitationally locked as far as the study can tell us but then, CC2 was only identified within this study so could be observed for a mere few years.

HD 60584 CC1 might have an orbiter 16.58 ± 0.15 AU. 0.028 M (29.316 Mj)... or maybe 0.008 ± 0.003 M. Stellar age is 300-1700 My so tagged an even billion. Note that F stars of this mass simply can't live much longer than 1700 My, before redgianting. The imaging data wasn't the best. I shall assume the worst, that is 30 Mj.

By my maths 1415/r2 Jovian units of Pull go to the star; 30/(16.58-r)2 to the browndwarf. Let's put r at a habitable 2 AU. 707.5 Junits to the star; out to the dwarf 0.141 Junits at conjunction and 0.087 at opposition. 3.2e-4 total which is slightly more than the 2.1e-4 ratio Jupiter exerts on Mars, with the proviso that this putative planet hasn't had as much time.

Overall I think HD 60584 CC1 can maintain a habitable planet if there be Venuslikes beneath that orbit, keeping it in circularity. HIP 29724's 66 Mj "dwarf" at 6.3 AU seems a tougher sell, frankly. On the other side, HIP 21152's 1.442 M has its browndwarf at 18.28 AU, admittedly a slightly heavier 33.5 Mj.

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