how fast do the planets move? investigation what is the order of the planets, from closest to the...

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How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right now?

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An Astronomical Unit (AU) One Astronomical Unit is the approximate distance between the Earth and the Sun. 1 AU ≈ 149,600,000 km.

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Page 1: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

How fast do the Planets move?

INVESTIGATION

What is the order of the planets, from closest to the sun to furthest away?

How fast are you travelling right now?

Page 2: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

What information would a scientist need to investigate the speed of an object?1. Speed = Distance

Time2. Need to know: The orbital distance of eachPlanet and the time it takes for the planet tomove around the sun.

3. What units should we use to represent speed?

What´s appropriate?

Page 3: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

An Astronomical Unit (AU)One Astronomical Unit is the

approximatedistance between the Earth and the

Sun.1 AU ≈ 149,600,000 km.

Page 4: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Why is 1 AU an approximate distance and not exact?

1.The Earth´s orbit is an ellipse not a perfect circle.

2.There are slight variations in the Earth´s Orbit.

Page 5: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Problem that we now face:How do you find the circumference of an

ellipse?

Formulae do exist but it requires advanced mathematical techniques to derive.

Are there any shapes that are slightly more simple than an ellipse that we do know how to find the circumference of?

Page 6: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Assumptions in Mathematics

Often Mathematicians cannot always findexact answers to problems because it

wouldmake the problem too difficult to solve.

In these cases, we make simpler assumptions.

We can assume that the orbit is circular to decrease the complexity of the problem and find an approximate answer.

Page 7: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Planet Mercury

Venus

Earth Mars

Jupiter

Saturn

Uranus

Neptune

Orbital Radius (AU)

0.38 0.72 1 1.52

5.2 9.45 19.2 30.06

Time to orbit Sun

88 days

225 day

s

365 .25

days

687 day

s

11.9 years

29.45

years

84 years

164.8 years

Data

Pair Challenge 1: a) The approximate speed of Mercury is 172800 km/h. Use the data to confirm this.b) Change your answer to part a) into km/s and then m/s. Write these answers to 3 significant figures.

Page 8: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Planet Mercury

Venus

Earth Mars

Jupiter

Saturn

Uranus

Neptune

Orbital Radius (AU)

0.38 0.72 1 1.52

5.2 9.45 19.2 30.06

Time to orbit Sun

88 days

225 day

s

365 .25

days

687 day

s

11.9 years

29.45

years

84 years

164.8 years

Data (1 AU = 149600000 km)

Pair Challenge 2: a) Find the speeds of all the planets in the

solar system in km/h, km/s and in m/s.b) Look at the answers you have in km/s. Do

you notice anything? Which graph could best show the connection between speed and orbital radius?

Page 9: How fast do the Planets move? INVESTIGATION What is the order of the planets, from closest to the sun to furthest away? How fast are you travelling right

Topics DiscussedContent1.12, 1.13 - Speed, Distance and Time6.3 - Circumference of Circles6.1 - Converting between measurements.11.3 - Scatter Graphs and Correlation.1.10 - Significant Figures1.9 – lead onto Standard form.SkillsSimplifying a problem by making

assumptions.Ways of displaying data.Appropriate Answers