The night before your birthday in 2007 you set up your telescope on a nearby mountaintop. It was a clear night, and you had a stroke of luck: At 12:30 A.M. you spotted a new comet. After repeating the observation on successive nights, you were able to calculate its solar system coordinates p0 = (x0,y0,z0) and its velocity vector v0 = (vx0; vy0; vz0) on that first night. Using this information, determine the following: " the comet’s perihelion (point nearest the sun) and aphelion (point farthest fromthe sun)," the comet’s velocity at perihelion and at aphelion," the comet’s period of revolution around the sun, and" the comet’s next two dates of perihelion passage.
The night before your birthday in 2007 you set up your telescope on a nearby mountaintop. It was a clear night, and you had a stroke of luck: At 12:30 A.M. you spotted a new comet. After repeating the observation on successive nights, you were able to calculate its solar system coordinates p0 = (x0,y0,z0) and its velocity vector v0 = (vx0; vy0; vz0) on that first night. Using this information, determine the following: " the comet’s perihelion (point nearest the sun) and aphelion (point farthest fromthe sun)," the comet’s velocity at perihelion and at aphelion," the comet’s period of revolution around the sun, and" the comet’s next two dates of perihelion passage.
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The night before your birthday in 2007 you set up your telescope on a nearby mountaintop. It was a clear night, and you had a stroke of luck: At 12:30 A.M. you spotted a new comet. After repeating the observation on successive nights, you were able to calculate its solar system coordinates p0 = (x0,y0,z0) and its velocity vector v0 = (vx0; vy0; vz0) on that first night. Using this information, determine the following:
" the comet’s perihelion (point nearest the sun) and aphelion (point farthest from
the sun),
" the comet’s velocity at perihelion and at aphelion,
" the comet’s period of revolution around the sun, and
" the comet’s next two dates of perihelion passage.
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