Charting Galactic Accelerations: When and How to Extract a Unique Potential from the Distribution Function

@inproceedings{An2021ChartingGA,
  title={Charting Galactic Accelerations: When and How to Extract a Unique Potential from the Distribution Function},
  author={J. An and A. Naik and N. W. Evans and C. Kasi and J Korea and Nottingham and Ioa and Cambridge},
  year={2021}
}
The advent of datasets of stars in the Milky Way with six-dimensional phase-space information makes it possible to construct empirically the distribution function (DF). Here, we show that the accelerations can be uniquely determined from the DF using the collisionless Boltzmann equation, providing the Hessian determinant of the DF with respect to the velocities is non-vanishing. We illustrate this procedure and requirement with some analytic examples. Methods to extract the potential from… Expand

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