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## Kepler's Laws

#### Data below is a sample set of positional data of Explorer
35

#### in its eleiptical orbit around the Moon

#### (Reference: Activities in Astronomy by D.Hoff, L.Kelsey
and J.Neff)

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#### Kepler's Laws for the planets in an elliptical orbit
around the Sun

#### 1) Each planet moves around the Sun in an orbit that is an
ellipse with the Sun at one focus.

#### 2) Each planet moves so that an imaginary line joining the
Sun and the planet sweeps out equal areas in equal times.

#### 3) The squares of the periods of time required for for a planet
to complete a trip around the Sun is proportional to the Cube
of the average distance from the Sun.

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#### Kepler's Laws WWW sites

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#### Activity No 13

#### Kepler's Laws for a satellite in an elliptical orbit
around the Moon

#### 1) Each satellite moves around the Moon in an orbit that is
an ellipse with the Moon at one focus.

#### 2) Each satellite moves so that an imaginary line joining
the Moon and the satellite sweeps out equal areas in equal times.

#### 3) The squares of the periods of time required for for a planet
to complete a trip around the Moon is proportional to the cube
of the average distance from the Moon.

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#### Activity Report

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#### Use the above animation to answer the following questions.
( I am still working on it )

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#### Kepler's 2nd Law

#### Pictures (1 and 2 )

#### Pictures (3 and4)

#### Instructions: Use the above pictures (1-2) and (3-4) to calculate
the following values in step 1 and step 2. Note: (t2-t1) = 1.8
hrs and (t4-t3) = 1.8 hrs.

#### Question 1: Are the above ratio approximately equal to 1.
If not, then what is the source of our errors. Explain. Calculate
the percentage error.

#### Question 2: Is the angular momentum conserved. Explain the
consevation of an agular momentum.

#### Question 3: Explain why the spacing between dots in this fiqure
are not equal.

####

#### Kepler's 3rd Law

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