21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 4, Problem 22QP
To determine
Find the observational quantities needed to make estimate an object’s mass.
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Why are all large celestial bodies (stars, planets, larger moons) very nearly spherical in shape?
a
because of the centrifugal force from the body's rotation
b
because of tidal forces
c
because gravity tries to pull every part of the celestial body to the center
d
because of the pressure from the heat in the body's core
Use Kepler's 3rd Law and the small angle approximation.
a) An object is located in the solar system at a distance from the Sun equal to 41 AU's . What is the objects orbital period?
b) An object seen in a telescope has an angular diameter equivalent to 41 (in units of arc seconds). What is its linear diameter if the object is 250 million km from you? Draw a labeled diagram of this situation.
Could you find the Mass of the Sun using the slope of the of T2 versus a3, using the values that are in units of years and AU? Explain
Chapter 4 Solutions
21st Century Astronomy
Ch. 4.1 - Prob. 4.1ACYUCh. 4.1 - Prob. 4.1BCYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4.4 - Prob. 4.4CYUCh. 4 - Prob. 1QPCh. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QP
Ch. 4 - Prob. 6QPCh. 4 - Prob. 7QPCh. 4 - Prob. 8QPCh. 4 - Prob. 9QPCh. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Prob. 13QPCh. 4 - Prob. 14QPCh. 4 - Prob. 15QPCh. 4 - Prob. 16QPCh. 4 - Prob. 17QPCh. 4 - Prob. 18QPCh. 4 - Prob. 19QPCh. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Prob. 22QPCh. 4 - Prob. 23QPCh. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Prob. 28QPCh. 4 - Prob. 29QPCh. 4 - Prob. 30QPCh. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Prob. 33QPCh. 4 - Prob. 34QPCh. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Prob. 38QPCh. 4 - Prob. 39QPCh. 4 - Prob. 40QPCh. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QP
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- For centuries, astronomers wondered whether comets were true celestial objects, like the planets and stars, or a phenomenon that occurred in the atmosphere of Earth. Describe an experiment to determine which of these two possibilities is correct.arrow_forwardWhat is the difference between asterism d a constellation? Give some examples.arrow_forwardIn what ways is the celestial sphere a scientific model?arrow_forward
- Measure the polar and equatorial diameters of Saturn in the photograph in Celestial Profile 8 and calculate the planet’s oblateness using the definition given in this chapter.arrow_forwardGive several reasons Mercury would be a particularly unpleasant place to build an astronomical observatory.arrow_forwardGalileo’s telescope showed him that Venus has a large angular diameter (61 arc seconds) when it is a crescent and a small angular diameter (10 arc seconds) when it is nearly full. Use the small-angle formula to find the ratio of its maximum distance to its minim um distance. Is this ratio compatible with the Ptolemaic shown on the right-hand page of Concept Art 4A? (Hint: See Reasoning with Numbers 3-1.)arrow_forward
- Suppose you discovered a new celestial body going around the sun. If it requires 512 years to complete one orbit around the sun, what is its average distance from the sun? ( give answer in AU)arrow_forwardExplain in detail the concept of the celestial sphere and how we use angular measurement to locate objects in the sky. Explain how these angular measurements differ from those used to locate objects on the Earth's surface.arrow_forwardKepler 3rd law: M1 + M2 = P2/D3 Jupiter’s moon Callisto orbits the planet at a distance of 1.88 X 106 km in about 16.7 days. If one year is 365 days, and if 1 AU is 1.5 X 108 km, calculate the mass of Jupiter in solar mass units. (Show your work)arrow_forward
- How do convert Astronomical Units to Kilometers?arrow_forward1- MODIS is an Earth Observation sensor onboard TERRA spacecraft flying in a near-polar circular orbit with an orbital period of 98.8 minutes. The width of the swath imaged by MODIS is 2330 km. A- How many orbits does TERRA trace in one day? B- Assuming that the Earth rotates around its polar axis at a rate of 0.2618 rd/hr and that the equatorial radius is 6378 km, do two consecutive swaths of MODIS overlap at the equator? (hint: the length of an arc = angle in rd * radius) C- The radius of the latitude circle at 35 deg is 5224.5 km. Do two consecutive swaths of MODIS overlap at latitude 35 deg? 2- An aerostationary orbit for Mars is equivalent to a geostationary orbit for Earth. It is designed to enable a satellite in that orbit to image always the same surface of Mars. Calculate the altitude of an aerostationary orbit assuming that Mars is spherical, that its sidereal rotational period is 1.02595676 Earth days, its equatorial radius is 3389.50 km and its mass is…arrow_forwardExplain what is meant by the distance ladder in astronomy. Describe briefly how each “rung” of the distance ladder is calibrated so that a reliable measure of distance can be obtained using each of the methods. State clearly the range of distances that can be measured by each method that makes up the distance ladder.arrow_forward
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