Subsections

## The weight Hessians of the ellipsoid

### - partial derivative

The second partial derivatives with respect to the orientational parameters and are

where

 = (1 + 3 + δy2δz + ⋅ + δz2δy + ⋅ +2δyδz⋅ + ⋅ + (1 - 3 + δx2δz + ⋅ + δz2δx + ⋅ +2δxδz⋅ + ⋅ -2δz2δz +3⋅ + δx2δy + ⋅ + δy2δx + ⋅ +2δxδy⋅ + ⋅ . (15.125)

### - τm partial derivative

The second partial derivatives with respect to the orientational parameter and the geometric parameter τm are

### - partial derivative

The second partial derivatives with respect to the orientational parameter and the geometric parameter are

### - partial derivative

The second partial derivatives with respect to the orientational parameter and the geometric parameter are

where

 = (1 - - (1 + +2 . (15.129)

### τm - τm partial derivative

The second partial derivatives with respect to the geometric parameter τm twice are

### τm - partial derivative

The second partial derivatives with respect to the geometric parameters τm and are

### τm - partial derivative

The second partial derivatives with respect to the geometric parameters τm and are

### - partial derivative

The second partial derivatives with respect to the geometric parameter twice are

### - partial derivative

The second partial derivatives with respect to the geometric parameters and are

### - partial derivative

The second partial derivatives with respect to the geometric parameter twice are

where

 = (6 + (6 -2(6 . (15.136)

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