The Gaussian Integral is a beautiful integral for which the area between the e^(-x^2) and the x-axis from negative infinity to positive infinity perfectly equals the square root of pi. Image sources: 1, 2.
Size of nebulae
Mount Rainier shadow casts on the sky at sunrise. It only happens when the sun rises farther to the south and has to be in the exact position to where Rainier blocks the first rays of morning light. (Source)
Here is a time lapse of the International Space Station flying over the earth.
A solar eclipse and the Milky Way seen from the ISS
Transit of Venus(2012) through rain clouds. Canon T3i with 100-400 mm EF lens.
Hubble Sees a Galactic Sunflower : The arrangement of the spiral arms in the galaxy Messier 63, seen here in an image from the NASA/ESA Hubble Space Telescope, recall the pattern at the center of a sunflower.
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Our solar system is huge, so let us break it down for you. Here are 5 things to know this week:
1. You Call the Shots
This July, when the Juno mission arrives at Jupiter, it will eye the massive planet with JunoCam. What adds extra interest to this mission is that the public is invited to help Juno scientists choose which images JunoCam will take. Now is the time to get involved.
2. Dawn Delivers
We’ve seen several images now from the Dawn spacecraft’s new, close orbit around Ceres—and they don’t disappoint. Exquisitely detailed photos of the dwarf planet reveal craters, cliffs, fractures, canyons and bright spots in many locations. “Everywhere we look in these new low-altitude observations, we see amazing landforms that speak to the unique character of this most amazing world,” said the mission’s principal investigator.
3. Remembering the Visit to a Sideways World
Jan. 24 is the 30th anniversary of Voyager 2’s Uranus flyby. The seventh planet is notable for the extreme tilt of its axis, its lacy ring system and its large family of moons—10 of which were discovered thanks to Voyager’s close encounter. In fact, we learned much of what we know about the Uranian system during those few days in 1986.
4. A Decade in the Deep
The New Horizons spacecraft left Earth 10 years ago this week. Its long voyage into deep space is, even now, transforming our understanding of the outer solar system. New data and pictures from the Pluto flyby are still streaming down from the spacecraft. Pending the approval of an extended mission, New Horizons is en route to a 2019 rendezvous with a small, unexplored world in the distant Kuiper Belt.
5. Power at a Distance
Space exploration helped drive the development of practical solar cells, and now solar power has gone farther than ever before. Last week, NASA’s Juno spacecraft broke the record for the most distant solar-powered craft when it passed a distance of 493 million miles (793 million kilometers) from the sun. The four-ton Juno spacecraft draws energy from three 30-foot-long (9-meter) solar arrays festooned with 18,698 individual cells.
Want to learn more? Read our full list of the 10 things to know this week about the solar system HERE.
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Four beautiful examples of overlapping/interacting galaxies brought to you by the Hubble Telescope. To view the images in their full resolutions, please open them in a separate tab.
Well you're not wrong
if u look up there it is