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MMLU-Pro / 8634 / The orbit of Halley's comet, last seen in 1986 and due to return in 2062, is an…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The orbit of Halley's comet, last seen in 1986 and due to return in 2062, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is 36.18AU36.18 \mathrm{AU}. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley's comet. What is the maximum distance from the comet to the sun?
Plain-text mathematical notation (without MathML)
The orbit of Halley's comet, last seen in 1986 and due to return in 2062, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is 36.18AU. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley's comet. What is the maximum distance from the comet to the sun?
Original LaTeX notation
The orbit of Halley's comet, last seen in 1986 and due to return in 2062, is an ellipse with eccentricity 0.97 and one focus at the sun. The length of its major axis is $36.18 \mathrm{AU}$. [An astronomical unit (AU) is the mean distance between the earth and the sun, about 93 million miles.] Find a polar equation for the orbit of Halley's comet. What is the maximum distance from the comet to the sun?

category

math

options

  1. 32.10 $\mathrm{AU}$
  2. 37.86 $\mathrm{AU}$
  3. 29.85 $\mathrm{AU}$
  4. 31.50 $\mathrm{AU}$
  5. 33.25 $\mathrm{AU}$
  6. 38.76 $\mathrm{AU}$
  7. 40.22 $\mathrm{AU}$
  8. 28.93 $\mathrm{AU}$
  9. 34.52 $\mathrm{AU}$
  10. 35.64 $\mathrm{AU}$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
8634
task_id
e9724605-91bf-5757-aeb1-ef3f95efcabc
task_key
default--test--8634
task_revision_id
1
config / split
default / test

Official source

initial import