Suppose, on May 7, Venus found itself in the greatest eastern elongation and at some point on the Earth became

Suppose, on May 7, Venus found itself in the greatest eastern elongation and at some point on the Earth became a non-setting star, its lower culmination occurred at the point to the north. Where was the sun at that moment?

If we neglect the inclination of Venus’s orbit to the ecliptic (which in most cases can be done for any configuration of this planet, except for the lower conjunction), then on the day of the greatest eastern elongation of Venus, it should be on the ecliptic at 47 ° from the Sun, that is, ahead of it in the visible movement for a month and a half. It turns out that Venus will be near the point of the summer solstice, and its lower culmination at the point north will occur at the Arctic Circle (latitude 66.5 °). Sidereal time at this moment will be 18 hours, and the ecliptic will coincide with the horizon. The sun, located on the ecliptic 47 ° to the right of Venus (as seen from the northern hemisphere), will rise above the horizon in the northeast.

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