21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780309341523
Author: Kay
Publisher: NORTON
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Question
Chapter 3, Problem 35QP
(a)
To determine
Find the sidereal period of dwarf planet Ceres.
(b)
To determine
Find the sidereal period of dwarf planet Ceres using Kepler’s law.
(a)
To determine
Compare the sidereal period of the Ceres calculated from two different methods.
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A newly discovered planet orbits a star with the same mass as the Sun with a semi-major axis of 239.36 million kilometers. Its orbital eccentricity is 0.1.A. Find the planet's orbital period.B. Find the planet's perihelion distance.C. Find the planet's aphelion distance.
Kepler's third law of planetary motion describes a relationship between the__ *
a, shape of orbit and the location of the Sun.
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c. distance from the Sun and length of year.
d. path of epicycle and position.
BACKGROUND
An ingenious solution to the Earth's circumference occured in 230 BC. Eratosthenes, a Greek
geographer, mathematician, music theorist, poet, astronomer, and philosopher, was reading in the
Library of Alexandria when he noticed an account for a deep well near Syene (now Aswan),
some distance to the south (800 km) in which at high noon on the longest day of the year the
bottom of the well was fully illuminated by the Sun. Eratosthenes exclaimed "Ah-ah!" (or
something like that), "I can solve for the circumference of the Earth!". In his mind's eye,
Eratosthenes could see that at Syene, at the moment when the bottom of the well was fully lit, the
Sun must have been at the Zenith (directly overhead). Yet he knew that at the same moment in
Alexandria vertical objects (like a tower, pole) cast shadows.
Here is the experiment perfomed by Eratosthenes (see the picture below).
• He erected a vertical pole at Alexandria (A) and measured the angle of its shadow at the
moment when the…
Chapter 3 Solutions
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
Ch. 3.1 - Prob. 3.1ACYUCh. 3.1 - Prob. 3.1BCYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3 - Prob. 1QPCh. 3 - Prob. 2QPCh. 3 - Prob. 3QPCh. 3 - Prob. 4QPCh. 3 - Prob. 5QP
Ch. 3 - Prob. 6QPCh. 3 - Prob. 7QPCh. 3 - Prob. 8QPCh. 3 - Prob. 9QPCh. 3 - Prob. 10QPCh. 3 - Prob. 11QPCh. 3 - Prob. 12QPCh. 3 - Prob. 13QPCh. 3 - Prob. 14QPCh. 3 - Prob. 15QPCh. 3 - Prob. 16QPCh. 3 - Prob. 17QPCh. 3 - Prob. 18QPCh. 3 - Prob. 19QPCh. 3 - Prob. 20QPCh. 3 - Prob. 21QPCh. 3 - Prob. 22QPCh. 3 - Prob. 23QPCh. 3 - Prob. 24QPCh. 3 - Prob. 25QPCh. 3 - Prob. 26QPCh. 3 - Prob. 27QPCh. 3 - Prob. 28QPCh. 3 - Prob. 29QPCh. 3 - Prob. 30QPCh. 3 - Prob. 31QPCh. 3 - Prob. 32QPCh. 3 - Prob. 33QPCh. 3 - Prob. 34QPCh. 3 - Prob. 35QPCh. 3 - Prob. 36QPCh. 3 - Prob. 37QPCh. 3 - Prob. 38QPCh. 3 - Prob. 39QPCh. 3 - Prob. 40QPCh. 3 - Prob. 41QPCh. 3 - Prob. 42QPCh. 3 - Prob. 43QPCh. 3 - Prob. 44QPCh. 3 - Prob. 45QP
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