A source moving toward us compresses its spectral lines to shorter wavelengths, a blueshift, the mirror of the redshift case. The same shift ratio Delta lambda / lambda = v / c applies, now with the line pulled toward the blue. The result is exact for an identified line and the low-speed approximation; real measurements fight calibration drift, line blending, and finite instrument resolution, and high speeds need a relativistic correction.

A negative radial speed gives a negative shift ratio. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The radial speed source carries the sign

The same speed scale uses radial speed -1 meter per second.

v=−1 m/s,c=6 m/sv=-1\ \text{m}/\text{s},\quad c=6\ \text{m}/\text{s}
Approaching sourceThe negative sign belongs to the source value.restobservedradialSpeed=-1 m/slightSpeed=6 m/sshiftRatio=-1/6formulaRole=low-speed signed training ratio

The shift ratio is negative

Dividing by the same light speed gives shift ratio -1/6, a blueshift training case.

Δλ/λ=−16\Delta\lambda/\lambda=-\tfrac{1}{6}
Negative shift ratioNo cosmological redshift z is claimed.restobservedradialSpeed=-1 m/slightSpeed=6 m/sshiftRatio=-1/6formulaRole=low-speed signed training ratio