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This article explores the inner and outer planets of our solar system, the structure of our galaxy, and the mysterious patterns found in planetary orbits. It also delves into the laws of motion proposed by Sir Isaac Newton.
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IR picture 105 ly Scorpius constellation Galactic center
THE LOCAL GROUP 106 ly ANDROMEDA 2x106 LY from us
GALACTIC STRUCTURES 30% ELLIPTICAL -majority SPIRAL LENTICULAR IRREGULAR
ACTIVE GALAXIES RF JETS AND BLACK HOLE – NGC4261
GALAXY CLUSTERS VIRGO COMA FORMAX
RED SHIFT SURVEYS TO 150 Mpc, ~2% to edge Filaments and Sheet-like Structures And Bubble-like voids
KEPLER’S LAWS The orbits of the planets are ellipses, with the Sun at one focus of the ellipse. The line joining the planet to the Sun sweeps out equal areas in equal times as the planet travels around the ellipse.
Galileo’s drawing Huyghen’s drawing Hubble image
KEY QUESTIONS: • WHY SIX PLANETS ? • WHAT CONTROLS THE SIZE OF THEIR ORBITS KEPLER MYSTERIUM COSMOGRAHICUM A precursor to cosmographical dissertations, containing the cosmic mystery of the admirable proportions of the Celestial Spheres, and of the True and Proper Causes of their Numbers, Sizes, and Periodic Motions of the Heavens, Demonstrated by the Five Regular Geometric Solids Numbers p =3.14159…… f = 1.6180339…. Golden ratio, Golden number, Golden Section AB/AC=AC/CB A C B
Bode’ Law Distances of planets from Sun M .39, V .72, E 1.0, Mars 1.5, J 5.2, SAT 9.5, UR 19, N 30, PL 39 Start with 0,3,6,12,24,48,96,192,384 Add 4 and divide by 10 .4,.7,1.0,1.6,2.8,5.2,10,19.6,38.8 Missed Neptune and no planet at 2.8 Asteroid belt -> rocks (40000) few km size
Newton’s laws • Newton’s laws of motion • Frames of reference • Newton’s law of Gravitation
I: NEWTON’S LAWS OF MOTION Begin by stating Newton’s laws: Newton’s first law (N1) – If a body is not acted upon by any forces, then its velocity, v, remains constant Note: • N1 sweeps away the idea of “being at rest” as a natural state.
Newton’s 2nd law (N2) – If a body of mass M is acted upon by a force F, then its acceleration a is given by F=Ma Note • N2 defines “inertial mass” as the degree by which a body resists being accelerated by a force. • Another way of saying this is that force = rate of change of momentum (rate of change of mv). Newton’s 3rd law (N3) - If body A exerts force F on body B, the body B exerts a force –F on body A.