On June 8, 2004, Venus will pass through the disk of the Sun. How different are the moments of the first contact of the disks

On June 8, 2004, Venus will pass through the disk of the Sun. How different are the moments of the first contact of the disks of the Sun and Venus when observed from different regions of the Earth?

Venus is orbiting at a speed u = 35.0 km / s. The Earth is 1.38 times farther from the Sun than Venus, and Venus’s penumbra at the Earth’s distance will move with the speed and. = 48.4 km / s. But the Earth itself moves along its orbit in the same direction at a speed of v = 29.8 km / s, and the speed of penumbra relative to the Earth will be u-v = 18.6 km / s. If the passage of Venus along the solar disk is central, and the edge of the penumbra moves along the Earth along its normal, then it will cross the Earth with an equatorial diameter of 12756 km in 686 seconds or 11 minutes 26 seconds. This is how different the moments of contacts between Venus and the Sun can be at different points of the Earth. In 2004, the passage will not be central, so this difference will be slightly larger.

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