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From One North Pole to the Other (Posted on 2019-06-21) Difficulty: 5 of 5
There are two identical uniform spherical planets of radius R. The first has its center at the origin of the xyz coordinate system. The second has its center at (2R, 0, 0). The planets are touching.

A projectile is launched from the "North Pole" of the first planet at (0, 0, R) with its initial velocity pointed in the direction of the vector (1, 0, 1).

Let the escape speed relative to the planet's surface be ve. Note that here, the escape escape is for a single planet in isolation (following the typical convention).

With the given launch vector, let v0 be the minimum launch speed for the projectile to reach the "North Pole" of the second planet at (2R, 0, R).

How are the two speeds ve and v0 related?

No Solution Yet Submitted by Danish Ahmed Khan    
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re: Great Info | Comment 8 of 21 |
(In reply to Great Info by Andrew Lewis)

The North Pole is the northernmost point on the Earth, lying oppositely inverse the South Pole. It characterizes geodetic scope 90° North, just as the heading of genuine north. At the North Pole all headings point south; all lines of longitude join there, so its longitude can be characterized as any degree esteem. Along tight scope circles, counterclockwise is east and clockwise is west. The North Pole is at the focal point of the Northern Hemisphere. The closest uni assignment help australia land is typically said to be Kaffeklubben Island, off the northern shoreline of Greenland around 700 km (430 mi) away, however some maybe semi-perpetual rock banks lie somewhat nearer. The closest for all time occupied spot is Alert in the Qikiqtaaluk Region, Nunavut, Canada, which is found 817 km (508 mi) from the Pole.
  Posted by natalie on 2020-04-09 07:32:55

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