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Could we possibly see the shadow offset from Parker Solar probe on Earth?

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9 The closer an object to the source of light, the larger the shadow it casts. Parker Solar probe would fly within 3.7 million miles (6 million kilometers) of the sun's surface. It sounds quite far away; however it's more than eight times closer than any other spacecraft and more than eight times closer than Mercury. Let's say there is a solar eclipse event right above New York City; the city would be underneath the shadow of the body between Earth and Sun. So here's the wonder: with Parker Solar probe is staying that close to the Sun, could we possibly see its shadow offset from it on Earth? the-sun parker-solar-probe share | improve this question