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Simulations, Data Analysis and Algorithms

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Figure 5 | Computational Astrophysics and Cosmology

Figure 5

From: A calculator for Roche lobe properties

Figure 5

Accuracy of fits to Roche radii. The difference between a cubic spline fit (see text for details) for \(R_{L1}\), \(R_{bk}\), \(R_{y}\), \(R_{z}\) and \(R_{eq}\) and the numerically calculated values, as a function of mass ratio q. Also shown is the difference between the Eggleton formula (\(R_{Egg}\)) and the accurate \(R_{eq}\), divided by 1,000. This shows that the spline fit is a factor of 10,000 better than the Eggleton formula for \(R_{eq}\). The vertical axis has been scaled up by a factor of 106.

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