Discovering Ceres: Gauss and the Least Square Approach

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Gauss utilized the least squares method to calculate the orbit of Ceres, refining observational data to achieve accurate results. This approach involves minimizing the sum of the squares of the differences between observed and predicted values, allowing for a reliable estimation of an object's trajectory. By assuming an elliptical orbit and incorporating various measurements, Gauss could effectively determine the asteroid's path. The discussion highlights the mathematical principles behind this method and its significance in celestial mechanics. Understanding these concepts is crucial for accurately predicting the trajectories of celestial bodies.
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I've been reading 'Measuring the World' by D. Kehlmann, i have reached to the part when Gauss using the least square approach (¿? still not 100% sure) discovered the orbit of 'Ceres' but my question is How did he get it??.. assuming the orbit is elliptic and using some possible meditions how could you get the trajectorie of an asteroid or something similar?, thanx.
 
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