Answered: A newly discovered planet orbits a star…

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter3: Orbits And Gravity

Section: Chapter Questions

Problem 6E: Which major planet has the largest . . . A. semimajor axis? B. average orbital speed around the Sun?...

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Question

A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of 104.72 million kilometers. Its orbital eccentricity is 0.8.

Find the planet's orbital period, the planet's perihelion distance and the planet's aphelion distance

Expert Solution

Step 1

Given data

The semi-major axis is $a = 104.72 \times 10^{6} km$

The eccentricity is $e = 0.8$

The semi-major axis in A.U. is,

$\begin{array}{rcl} a_{o} & = & \frac{a}{149.6 \times 10^{6}} \\ = & \frac{104.72 \times 10^{6}}{149.6 \times 10^{6}} \\ = & 0.7 AU \end{array}$

Here A.U. is the astronomical unit.

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