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The law of orbits: All planets move in elliptical orbits, with the sun at one focus.

Jan 01, 2016

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Reynard Howard
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Page 1: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.
Page 2: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

The law of orbits: All planets move in elliptical orbits, with

the sun at one focus.

Page 3: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

axismajor ofthelength

focibetween distanceyecentricit

Page 4: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

Planetary orbit eccentricities Mercury .206 Venus .0068 Earth .0167 Mars .0934 Jupiter .0485 Saturn .0556 Uranus .0472 Neptune .0086 Pluto .25

Page 5: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.
Page 6: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

The law of areas: A line that connects a planet to the sun

sweeps out equal areas in equal times.

Page 7: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.
Page 8: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

The law of periods: The square of the period of any planet is

proportional to the cube of the semi-major axis of its orbit.

Page 9: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

PlanetSemimajor axis (1010m)

PeriodT (y)

T2/a3

(10-34y2/m3)

Mercury 5.79 0.241 2.99

Venus 10.8 0.615 3.00

Earth 15.0 1 2.96

Mars 22.8 1.88 2.98

Jupiter 77.8 11.9 3.01

Saturn 143 29.5 2.98

Uranus 287 84 2.98

Neptune 450 165 2.99

Pluto 590 248 2.99

Page 10: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.
Page 11: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

Period of Jupiter is 11.86 years Find its distance to the sun?

Page 12: The law of orbits:  All planets move in elliptical orbits, with the sun at one focus.

15 degrees per hour. With an orbit of 6.5 Earth radii

Most satellites are only 200 km above Earth.

They make one revolution every 90 min. 230 degrees per hour.