perihelions 2 days ago

This isn't true. Because it's a vector addition of velocity vectors—not scalars.

The orbit you want to reach is a delta-v of about 9.0 km/s in the polar direction,

↑ 9.0 km/s

The speed of the Earth's rotation, that you would want to cancel, is maximally 0.46 km/s on the equator, in the azimuthal direction,

→ 0.46 km/s

So your delta-v vector is ↑ 9.0 km/s pointing north, plus ← 0.46 km/s pointing west (cancelling the Earth's rotation), for a vector sum of magnitude

    sqrt( (9.0 km/s)^2 + (0.46 km/s)^2 )
    = 9.01 km/s
Even though you're negating 460 m/s of speed, it costs no more than an additional 10 m/s (give or take) of delta-v. It's a negligible difference — 0.1%.

Launching into a polar orbit is equally easy, from any latitude!

The converse isn't true. If you're trying to reach an equatorial orbit, the delta-v into that orbit is co-linear with the earth's rotation,

(→ 9.0 km/s), (→ 0.46 km/s)

That's a scalar sum! An azimuthal launch is 460 m/s cheaper on the equator—you inherit the full speed of the Earth's rotation. Latitude is a significant factor here: it's easier to launch, the closer to you are to the equator.

(More profoundly, the orbit you're trying to reach might not even pass through the point you're trying to launch from. This happens if the target orbit inclination is smaller than your launch site's latitude (in absolute value)).

1
HPsquared 1 day ago

Trigonometry in action! I stand corrected.