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3 edition of Determination of the mass of Jupiter from the motion of 65 cybele found in the catalog.

Determination of the mass of Jupiter from the motion of 65 cybele

Douglas A. O"Handley

Determination of the mass of Jupiter from the motion of 65 cybele

by Douglas A. O"Handley

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Published by U.S. Nautical Almanac Office; for sale by the Supt. of Docs., U.S. Govt. Print. Off. in [Washington .
Written in English

    Places:
  • Jupiter (Planet)
    • Subjects:
    • Jupiter (Planet) -- Mass.

    • Edition Notes

      Statementby Douglas A. O"Handley.
      SeriesAstronomical papers prepared for the use of the American ephemeris and nautical almanac,, v. 20, pt. 3
      Classifications
      LC ClassificationsQB3 .U6 vol. 20, pt. 3
      The Physical Object
      Pagination313-368 p.
      Number of Pages368
      ID Numbers
      Open LibraryOL5738962M
      LC Control Number70609180

      See Jupiter’s Galilean moons in motion from Juno’s camera 6 July Stephen Clark Juno’s visible camera had a bird’s-eye view of Jupiter’s four largest moons over the last few weeks, recording the satellites in their orbital ballet around the giant planet as the . The mass of jupiter can be calculated by measuring the orbital period and semi major axis of one of Jupiters moons You wish to determine the rate of rotation of a planet.

      THE MASS OF JUPITER G. Iafrate, M. Ramella INAF - Astronomical Observatory of Trieste 1 Introduction Jupiter is the major planet of the Solar System: its mass is more than times the mass of Earth and its volume is more than times the volume of our . Jupiter's moon Callisto orbits at a distance of million km and its orbital period is days. Assume that Callisto's mass is negligible compared to Jupiter's. Using Newton's modified version of Kepler's third law, find the mass of Jupiter.

      The planet Jupiter is the larges in the solar system, both in volume and mass. Jupiter has 62 known moons, the four largest being discovered by Galileo in These moons are Io, Callisto, Ganymede, and Europa. If Io is an average distance of x km from Jupiter and has an orbital period of days, compute the mass of Jupiter. Figure VIIIDistribution of asteroid orbit semimajor axes. The Main Belt, from to AU, is obvious. The resonance structure due to perturbations by Jupiter is indicated by the ratios of orbital frequency to that of Jupiter ( means an asteroid that orbits the Sun seven times for every two Jupiter orbits).


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Determination of the mass of Jupiter from the motion of 65 cybele by Douglas A. O"Handley Download PDF EPUB FB2

Get this from a library. Determination of the mass of Jupiter from the motion of 65 cybele. [Douglas A O'Handley; United States Naval Observatory. Nautical Almanac Office.] -- The magnitude of the perturbations in the motion of an asteroid by Jupiter is dependent upon the minimum separation of two bodies, the degree to which the ratio of the mean motions departs from exact.

Cybele, minor planet designation 65 Cybele, is one of the largest asteroids in the Solar System and is located in the outer asteroid gives its name to the Cybele group of asteroids that orbit outward from the Sun from the orbital resonance with X-type asteroid has a relatively short rotation period of hours.

It was discovered by Wilhelm Tempel inand named Discovered by: E. Tempel. If you measure r in units of Jupiter’s diameter (JD) and T in units of days, the resulting mass of Jupiter will be in kilograms. Objectives ๏ Use Kepler’s Third Law to determine the mass of Jupiter ๏ Visualize how an apparent motion in 1-dimension actually corresponds to a 2-dimensional movement ๏ Become familiar with the CLEA/VIREO File Size: KB.

Find the mass of the Sun in kg in your text or on Internet. Use this to. convert mass of Jupiter to kg. Compute mass of Jupiter from step 17 compared to mass of Earth. Mass of Earth is 3x solar masses. Record your mass on worksheet.

Check your work by comparing your value with that on the Voyager III data panel for Jupiter. The mass of Jupiter has been calculated to be × 10 27 kg, which is times greater than the mass of Earth. The density of Jupiter however is only times that of water which is 24% that of the Earth.

Jupiter's density is believed to be so low because it is mainly composed of hydrogen and helium — the lightest elements. compute the mass of a planet by observing one or more of its moons.

In this use case we compute the mass of Jupiter by studying the orbits of the Galileian moons: we obtain their semi-major axis and revolution period from Stellarium and then use these data in Kepler’s third law.

2 Jupiter Jupiter’s orbit is the fifth largest of theFile Size: KB. Determination of the Mass of Jupiter from the orbital data of its moons using Computer Simulators Technical Report (PDF Available) August with 2, Reads How we measure 'reads'Author: Anshuman Swain. 2 Determination of the Mass of Jupiter from the orbital data of its moons using Computer Simulators by Anshuman Swain Now according to the third law: ∝ Where ’T’ is the orbital time period.

Janiczek, P.M. () ‘The Orbit of Polyhymnia and the Mass of Jupiter’, Astron. Papers Amer. Ephem. 21, Part 1. Google Scholar Nelder, J.A., and Mead, R. () ‘A Simplex Method for Function Minimization’, The Computer Journal 7, – zbMATH Google ScholarAuthor: Richard L.

Branham. O’Handley, D. A.:‘Determination of the Mass of Jupiter from the Motion of 65 Cybele’, Dissertation, Yale University. Google Scholar Zielenbach, J. W.:‘Determination of the Mass of Jupiter from the Motion of 48 Doris’, Dissertation, Georgetown by: 1.

The mass of Jupiter is x kg. It is hard to fully understand a number that large, so here are a few comparisons to help. It would take times Earth’s mass to equal Jupiter’s. Now using the orbit of each Galilean moon, determine the quantities that you would have to graph in order to obtain a straight line whose slope will yield the mass of Jupiter.

You will have to convert Jupiter Diameters to meters and years to seconds. There are x10^8 meters in one Jupiter Diameter. The Mass of Jupiter Student Guide Introduction: In this lab, you will use astronomical observations of Jupiter and its satellites to measure the mass of Jupiter.

We will use the program Stellarium to simulate observations of the night sky. By watching the orbits of Jupiter’s moons, we File Size: KB. Fig. 1 presents a simulation of the motion of Jupiter’s pole due to torques from the Sun and Galilean satellites from to based on the IAU report for Jupiter’s polar motion (Archinal et al., ).Since the pole precession is dependent on Jupiter’s NMoI its accurate determination by the Juno spacecraft during its 1-year lifetime can constrain Jupiter’s moment of by: 65 Cybele / (~ x kg) / asteroid.

7 Iris / ( x kg) / asteroid. Bamberga / ( x kg) / asteroid. These are all examples of different solar objects along with the mass of each object. Every object has its own unique amount of matter and thus has its own mass. The Revolution of the Moons of Jupiter Student Manual A Manual to Accompany Software for the • Calculate the mass of Jupiter from your observations of each moon, then determine the average Toreinforce this, stop the motion by selecting Cont.

again, select File > Preferences > Top View, and start the motion again File Size: KB. The largest moon in the solar system is Ganymede, a moon of Jupiter. Ganymede orbits at a distance of *10^9 m from the center of Jupiter with an orbital period of about *10^5 s.

Using this information, find the mass of Jupiter. I have no idea where to start on this problem. The answer you get will be the mass of Jupiter in solar units (i.e. Jupiter’s mass divided by the mass of the Sun).

In other words, if your answer is M =your calculations say Jupiter is twice as massive as the Sun. If you getthen Jupiter is 1/th of the mass of the Sun.

Determine the mass of Jupiter. Gain a deeper understanding of Kepler's third law. Learn how to gather and analyze astronomical data.

Learning Goals: The goal of this lab is for students to familiarize themselves with the software Starry Night Pro and to determine a procedure to calculate the mass of a planet using Kepler's Laws. The students must then apply that procedure to find the mass of Jupiter.

Suggested Observations: a number of short exposure images of Jupiter revealing the motion of its moons. The Mass of Jupiter Student Guide Introduction: In this lab, you will use astronomical observations of Jupiter and its satellites to measure the mass of Jupiter.

We will use the program Stellarium to simulate observations of the night sky. Background material: From your Introduction to Astronomy class, you have learned Kepler’s laws of motion. The mass of Jupiter can be worked out from orbital mechanics and elementary gravity equations.

It works like this: you measure the distance from Jupiter to one of its moons (a), how long the moon takes to orbit around Jupiter once, and its speed (V). From that, you can figure the mass of the Jupiter. M = V^2 a / G.

G = x 10^ N m^2 / kg^2.For Ganymede the max y value would be 12, for Callisto the max value is 16, for Io 5 and for Europa 6. Satellite Used Mass of Jupiter (MJ) in Solar Mass Units Callisto Ganymede Europa Io Average MJ Questions and Discussion: Express the mass of Jupiter in Earth units.

The mass of Earth in solar mass units is x