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The earth's orbit around the sun is elliptical, so the earth moves at a constantly varying velocity as it moves closer to the sun (perihelion) or further away (aphelion). The earth's angular velocity (speed of movement) is considerably greater at perihelion than it is at aphelion.

So in that sense, the earth orbits at a constantly varying speed.

But there is a sense in which the earth orbits at constant speed. Similar segments of the elliptical orbit are crossed in similar lengths of time wherever the earth is in its orbital path. The earth gets through 10% of its path in the same length of time whether it is at aphelion (moving slowly) or perihelion (moving fast).

The absolute speed at which the earth moves varies, but the rate at which it orbits is constant.

---- The realisation that the earth's orbit was both speed variant (absolute speed of motion) and speed constant (segment of elliptical orbit covered) was the crucial breakthrough that allowed Johannes Kepler to solve the longstanding problem of the regression of Mercury (why Mercury appears to go backward in its orbit some of the time). Discovering that the earth's orbit is elliptical (astronomers had always assumed orbits were based on perfect circles) was how Kepler showed finally that the earth goes around the sun (and not the other way around).

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