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(d) (7 points) Some objects move in non-Keplerian orbits around the sun. Sometimes, they will speed up as they move away from the sun

 

(d) (7 points) Some objects move in "non-Keplerian" orbits around the sun. Sometimes, they will speed up as they move away from the sun (or not slow down as much as they should) and slow down as they move toward the sun (or not speed up as much as they should). Two such objects are discussed below. Figure 1: An artist's rendition of Oumuamua (left) and an actual image of Hale-Bopp (right) One such object, dubbed 'Oumuamua by astronomers, was detected in 2017 and is the first interstellar (from outside our solar system) object to be confirmed. Oumuamua was observed to accelerate non-gravitationally as it moved away from the sun, not slowing down as much as it should have. This behavior led some to speculate that 'Oumuamua was perhaps an alien spacecraft. Comets (comet Hale-Bopp is shown) behave in the same way, not slowing down as much as they should when moving away from the sun and not speeding up as much when moving toward the sun. i. (5 points) What direction (relative to the sun) must the force causing this behavior be in? ii. (2 points) What do you think could be the origin of this force?

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