astr 1101-001 spring 2008
DESCRIPTION
ASTR 1101-001 Spring 2008. Joel E. Tohline, Alumni Professor 247 Nicholson Hall [Slides from Lecture12]. Contrasting Models of Planetary Motions. Greek Geocentric Model (Ptolemaic System) – §4-1 Originated by Apollonius of Perga & Hipparchus in 2 nd century B.C. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/1.jpg)
ASTR 1101-001Spring 2008
Joel E. Tohline, Alumni Professor
247 Nicholson Hall
[Slides from Lecture12]
![Page 2: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/2.jpg)
Contrasting Models of Planetary Motions
• Greek Geocentric Model (Ptolemaic System) – §4-1– Originated by Apollonius of Perga &
Hipparchus in 2nd century B.C.– Expanded upon by Ptolemy in 2nd century
A.D.
• Copernican Heliocentric Model – §4-2– Proposed in 1543 by Nicolaus Copernicus– (Also considered in 3rd century B.C. by
Aristarchus)
![Page 3: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/3.jpg)
Contrasting Models of Planetary Motions
• Geocentric Model– Underlying hypothesis: Earth is unmoving
and at “center of the universe”
• Heliocentric Model – Preferred (by Copernicus) initially because of
its relative simplicity– Eventually proven correct by new
observations made possible by the aid of telescopes (see Galileo’s discoveries §4-5)
![Page 4: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/4.jpg)
Naked-Eye Observations“explained” by both Ptolemy and Copernicus
• Stars (and Sun, Moon, etc.) rise in east and set in west once every 24 hours
• Remove 24-hr diurnal motion; Sun and Moon both move steadily west-to-east at different rates (Moon = month period; Sun = year period)
• Superior planets [Mars, Jupiter, Saturn] usually wander slowly east-to-west (observed periods greater than 1 year) but periodically display retrograde (west-to-east) motion
• Inferior planets [Mercury, Venus] never wander very far (in angular separation) from the Sun; only seen shortly before or shortly after sunrise/sunset
![Page 5: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/5.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Revolutionary discoveries not especially relevant to the “geo-” versus “helio-” centric debate:– Mountains and Craters on the Moon– Sunspots on the Sun (ouch!)– Rings of Saturn– The “Milky Way” is “a mass of innumerable
stars”
![Page 6: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/6.jpg)
Galileo Galilei (1564-1642)
![Page 7: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/7.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Revolutionary discoveries not especially relevant to the “geo-” versus “helio-” centric debate:– Mountains and Craters on the Moon– Sunspots on the Sun (ouch!)– Rings of Saturn– The “Milky Way” is “a mass of innumerable
stars”
![Page 8: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/8.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Revolutionary discoveries not especially relevant to the “geo-” versus “helio-” centric debate:– Mountains and Craters on the Moon– Sunspots on the Sun (ouch!)– Rings of Saturn– The “Milky Way” is “a mass of innumerable
stars”
![Page 9: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/9.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Revolutionary discoveries not especially relevant to the “geo-” versus “helio-” centric debate:– Mountains and Craters on the Moon– Sunspots on the Sun (ouch!)– Rings of Saturn– The “Milky Way” is “a mass of innumerable
stars”
![Page 10: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/10.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Revolutionary discoveries not especially relevant to the “geo-” versus “helio-” centric debate:– Mountains and Craters on the Moon– Sunspots on the Sun (ouch!)– Rings of Saturn– The Milky Way is “a mass of innumerable
stars”
![Page 11: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/11.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Discoveries useful in resolving the “geo-” versus “helio-” centric debate:– Venus exhibits phases like those of the Moon– The apparent size of Venus was related to the
planet’s phase (as well as to the planet’s angular distance from the Sun)
– Jupiter has four “Galilean satellites”; their orbital behavior is like a Copernican system in miniature
![Page 12: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/12.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Discoveries useful in resolving the “geo-” versus “helio-” centric debate:– Venus exhibits phases like those of the Moon– The apparent size of Venus was related to the
planet’s phase (as well as to the planet’s angular distance from the Sun)
– Jupiter has four “Galilean satellites”; their orbital behavior is like a Copernican system in miniature
![Page 13: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/13.jpg)
Phases of Venus
![Page 14: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/14.jpg)
![Page 15: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/15.jpg)
![Page 16: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/16.jpg)
Phases of Venus expected in theCoperican Heliocentric model
![Page 17: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/17.jpg)
![Page 18: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/18.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Discoveries useful in resolving the “geo-” versus “helio-” centric debate:– Venus exhibits phases like those of the Moon– The apparent size of Venus was related to the
planet’s phase (as well as to the planet’s angular distance from the Sun)
– Jupiter has four “Galilean satellites”; their orbital behavior is like a Copernican system in miniature
![Page 19: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/19.jpg)
Angular size “” expressedin arcseconds.
![Page 20: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/20.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• Discoveries useful in resolving the “geo-” versus “helio-” centric debate:– Venus exhibits phases like those of the Moon– The apparent size of Venus was related to the
planet’s phase (as well as to the planet’s angular distance from the Sun)
– Jupiter has four “Galilean satellites”; their orbital behavior is like a Copernican system in miniature
![Page 21: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/21.jpg)
![Page 22: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/22.jpg)
![Page 23: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/23.jpg)
Galileo’s New Observationsmade with the aid of a telescope (~ 1610)
• First fundamentally new astronomical data in almost 2000 years!
• Contradicted prevailing opinion (and religious belief) and strongly suggested a heliocentric (Copernican) structure of the “universe”
![Page 24: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/24.jpg)
Scientific utility of theCopernican Heliocentric Model
• Can deduce the true “sidereal” (as opposed to readily measured “synodic”) orbital periods of each of the planets [see textbook BOX 4-1 and Table 4-1]
• Can deduce the distance that each planet is from the Sun, relative to the Earth’s distance from the Sun (1 AU); [see textbook discussion associated with Table 4-2]
![Page 25: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/25.jpg)
Synodic versus SiderealPlanetary Orbital Periods
• When two systems that have different natural oscillation periods (Plong & Pshort) start out “in alignment” with one another, they will return to an aligned arrangement after a time that is identified by their so-called “beat” period, “B”.
![Page 26: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/26.jpg)
Synodic versus SiderealPlanetary Orbital Periods
• For two planets:
Sidereal periods
![Page 27: ASTR 1101-001 Spring 2008](https://reader035.vdocument.in/reader035/viewer/2022070411/56814732550346895db47085/html5/thumbnails/27.jpg)
Synodic versus SiderealPlanetary Orbital Periods
• For two planets:
Synodic period