Generator

The inclination-mass generator

The mass a wobble does not give
The mass a wobble does not give. The factor by which the true mass exceeds the measured m sin i, against orbital inclination, with the probability of an inclination below each value on the same axis. Randomly oriented orbits are uniform in cos i, so the median inclination is 60° and the median correction is only 1.155. The correction exceeds 2 for the 13% of systems within 30° of face-on, and it is unbounded.

The factor by which the true mass exceeds the measured m sin i, against orbital inclination, with the probability of an inclination below each value on the same axis. Randomly oriented orbits are uniform in cos i, so the median inclination is 60° and the median correction is only 1.155. The correction exceeds 2 for the 13% of systems within 30° of face-on, and it is unbounded.

1 essay calls inclination-mass. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.

Where it is called

Every figure listed here is the same construction drawn at different numbers, so a correction to one is a correction to all of them.

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