Radius Of Orbit Of Venus

Earth orbits the dominicus in the counterclockwise direction equally seen from the due north.
Venus orbits the sunday in the counterclockwise direction as seen from the due north.
Both orbits are approximately circles.
Both orbits are approximately in the aforementioned plane.
The radius of the world's orbit is i.0 AU. (Astronomical unit. This is the definition of the astronomical unit.)
The radius of Venus's orbit is 0.7 AU.
The catamenia of the earth'south orbit is 1 yr. (This is the definition of one year.)
The menstruum of Venus'southward orbit is 0.6 year.

It is useful to plot the path of Venus taking the earth as stock-still. To practice this, beginning describe two arrows, the first from Earth to the sun, the 2d from the sun to Venus:

The first arrow starts at the earth, has a fixed length of one.0 AU, and rotates counterclockwise one time per year.
The 2nd arrow starts at the end of the offset pointer, has a fixed length of 0.seven AU, and rotates counterclockwise once every 0.half dozen year.

Venus moves on a little circle the center of which moves on a big circle around the world.

The effect.

Here nosotros run across a modest circle of radius 0.723 AU that revolves about the globe (at the center). The center of the small circumvolve moves along a large circle of radius 1.00 AU once each year. Venus, represented every bit a ruby-red dot, revolves about the center of the small circle once every 0.615 years. Subsequently the point of closest approach, I take changed the cerise dot to a blueish dot for clarity.

Connecting the dots gives the path of Venus relative to the earth.

Here is the path of Venus relative to the earth over 8 Earth years (which is 13 Venus years).

Here is what we get if we plot the position of Venus on the angelic sphere on successive days.

Prediction for what we see.

For a while we see Venus in the evening sky. And so it appears in the morning time heaven. Here is a picture of what we would see on successive nights one 60 minutes after sunset.