Difference between revisions of "Apps-On-Physics/C2/Keplers-laws/English"
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Calculate the Aphelion and Perhelion distances for the other planets. | Calculate the Aphelion and Perhelion distances for the other planets. | ||
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Use the values of semimajor axis and eccentricity shown in the '''App'''. | Use the values of semimajor axis and eccentricity shown in the '''App'''. | ||
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Complete the table and verify the values with the ones shown in the '''App'''. | Complete the table and verify the values with the ones shown in the '''App'''. | ||
Revision as of 16:24, 30 July 2019
| Visual Cue | Narration |
| Slide Number 1
Title Slide |
Welcome to the Spoken Tutorial on Kepler's Law. |
| Slide Number 2
Learning objective |
In this tutorial we will demonstrate,
Kepler's First Law and Kepler's Second Law Apps. |
| Slide Number 3
System Requirements |
Here I am using,
Ubuntu Linux OS version 16.04 Firefox web browser version 62.0.3 |
| Slide Number 4
Pre-requities |
To follow this tutorial, learner should be familiar with Apps on Physics.
For pre-requisitie tutorials please visit this site. |
| Slide Number 5
Learning Goals |
Using these Apps we will,
|
| Slide Number 6
Link for Apps on physics . |
Use the given link to download the Apps. |
| Point to the Downloads folder. | I have already downloaded Apps on Physics to my Downloads folder. |
| Double click on html5phen folder.
Double click on phen folder. |
Double click on html5phen folder, then double click on phen folder. |
| Right click on keplerlaw1_en.htm file.
Select option Open With Firefox web Browser option. |
Right click on keplerlaw1_en.htm file.
Select the option Open With Firefox web Browser. Kepler's First Law App opens in the browser. |
| This is the interface of Kepler’s First Law App. | |
| Point to show the law in Pink colour. | Here is the Kepler's First Law of undisturbed planetary motion.
It states that the orbit of each planet is an ellipse and the Sun is at one focus. |
| Scroll down the screen. | Let us scroll down the screen. |
| Point to the green panel. | The green control panel shows the parameters that we can change. |
| Click on drop down list and point the planets and Halley's Comet.
Point and show Mercury. |
From the drop down list select any planet or Halley's Comet.
By default Mercury is selected. |
| Point to Semimajor axis. | We can change the Semimajor axis from 0.1 to 100 AU. |
| Highlight the wordings from the interface. | These lengths are in astronomical units.
1AU = 1.495 X 10^11 m This is the average distance between the Earth and the sun. |
| Point to Numerical eccentricity. | The Numerical eccentricity should be less than 1. |
| Point to Semiminor axis and Distance from the Sun. | The Appautomatically calculates the Semiminor axis and Distance from the Sun. |
| Under Distance from the Sun point to Currently. | Since the planet is revolving around the sun, its current distance changes continuosly. |
| Point to Minimum and Maximum Distance from the Sun.
Point to Minimum value. Point to Maximum value. |
The Mercury's Minimum and Maximum Distance from the Sun is measured.
Minimum measured value is 0.307 AU. And Maximum measured value is 0.467 AU. |
| Move the cursor at the bottom of the green panel and point to Elliptical orbit.
Axes and Connecting lines check-box. |
At the bottom of the green panel there are three check-boxs.
Elliptical orbit Axes and Connecting lines. |
| Click on Elliptical orbit check-box. | Click on Elliptical orbit check-box. |
| Point to the orbit and poisitons of Aphelion and Perihelion. | Observe that the orbit now has two positions, namely Aphelion and Perihelion. |
| Click on the Pause button. | Click on the Pause button to pause the simulation. |
| Point to the Maximum and Minimum under Distance from the Sun. | Aphelion is the Maximum distance and Perihelion is the Minimum distance from the sun. |
| Click on Connecting lines check-box. | Select Connecting lines check-box. |
| Point to F and F prime. | Here we can see the foci F and F prime of the elliptical orbit. |
| Point to the Connecting lines and foci. | Note that the connecting lines between the planet and the foci are drawn. |
| Select the Axes check-box. | Select the Axes check-box. |
| Point to the lines. | Here we can see that semimajor axis and semiminor axis are drawn. |
| Let us calculate the Aphelion and Perihelion distance of Mercury using the formula. | |
| Slide Number 8
Aphelion and Perihelion Distance Ra=a(1+e) Rp=a(1-e) Where, Ra is Aphelion distance (Maximum) Rp is Perihelion distance(Minimum) a is semimajor axis e is eccentricity |
Formula to calculate Aphelion and Perihelion distance is:
Ra=a(1+e) Rp=a(1-e) Where, Ra is Aphelion distance. Rp is Perihelion distance. a is semimajor axis. e is eccentricity. |
| Slide Number 9
Tabular Column |
Let us make a tabular column to show Planets, Eccentricity, Aphelion and Perihelion distances. |
| Slide Number 10
Aphelion and Perihelion Distance Ra=a(1+e) =0.387(1+0.206) =0.466 AU Rp=a(1-e) =0.387(1-0.206) =0.307 AU |
Let us calculate the Maximum and Minimum distance of Mercury from the Sun.
Substitute the values of semimajor axis and eccentricity from the App in the formula. These are the calculated values of the Aphelion and perihelion distances. Now we will compare these values with the ones shown in the App. |
| Highlight the values of Minimum and Maximum distance. | Observe that the values are comparable. |
| Open drop down list and select Venus. | From the drop down I will select Venus.
Observe that the values have changed for Venus. |
| Slide Number 11
Tabular Column Point to values of Minimum and Maximum distance. |
Similarly I have calculated the Maximum and Minimum distance for venus.
And entered these values in the table. |
| Slide Number 12
Assignment Calculate the Aphelion and Perhelion distances for the other planets. Use the values of semimajor axis and eccentricity shown in the App. Complete the table and verify the values with the ones shown in the App. |
As an assignment
Calculate the Aphelion and Perhelion distances of the other planets. Use the values of semimajor axis and eccentricity shown in the App. Complete the table and verify the values with the ones shown in the App. |
| Click on the drop down list and select the Halley’s comet. | From the drop down list select Halley’s comet. |
| Point to show the orbit. | Observe that the orbit of Halley’s comet is diffrent from the other planets. |
| Point to the sun. | Its orbit around the sun is highly elliptical. |
| Point to numerical eccentricity. | This is because the numerical eccentricity of the Halley’s comet is close to 1. |
| point to semimajor and semiminor axis. | Therefore there is a large difference in the values of semimajor and semiminor axis. |
| Slide Number 13
Halley’s Comet Halley’s comet is a periodic comet. It returns to Earth’s vicinity in about every 75 years. A comet appears as a bright head with a long tail. The tail of a comet is always directed away from the sun. |
Let us know more about Halley’s comet.
Halley’s comet is a periodic comet. It returns to Earth’s vicinity in about every 75 years. A comet appears as a bright head with a long tail. The tail of a comet is always directed away from the sun. |
| Now we will move on to the next App. | |
| To open the screen right click on keplerlaw2_en.htm and Open With Firefox Web Browser. | To open the screen right click on keplerlaw2_en.htm and Open With Firefox Web Browser. |
| Point to Kepler's second law within the pink box. | The App opens with,
Kepler's second law of the undisturbed planetary motion. |
| Highlight the Law from the simulation. | The law states that,
The line joining the planet to the Sun sweeps out equal areas in equal intervals of time. |
| Scroll down the screen. | Scroll down to see the interface. |
| At the bottom of the green panel point to
Distance from the Sun and Velocity. |
In the green control panel, App measures the Distance from the Sun and Velocity. |
| Point to Currently under Velocity. | The current velocity of the planet is changing continuosly as the planet is revolving. |
| Point to the Minimum and Maximum velocity. | The Minimum and Maximum velocity of the planet is measured here. |
| Point to the Sectors and Vector of velocity check-boxes. | At the bottom there are two check-boxes, Sectors and Vector of velocity. |
| Point to Sectors.
Drag and show the change. |
By default Sectors is selected.
Next to the Sectors check-box, a slider is provided to change the area of the sector. |
| Click on Vector of velocity check-box. | Select Vector of velocity. |
| Point to the vector. | Here the black velocity vector shows the direction of velocity of the planet. |
| Point to show the Maximum velocity. | The maximum velocity with which Mercury revolves is 59.1 km/s. |
| Point to the value of velocity.
From the drop down select jupiter and point to the velocity. Planets far away from Sun have less velocity as compared to the planets that are near. |
Mercury is the closest planet to the Sun so it moves with a greater velocity.
Now I will show the velocity for jupiter. Select jupiter from the drop down list. Jupiter has less velocity than that of the mercury. Planets far away from the Sun have less velocity as compared to the planets that are near. |
| cursor on the interface. | This is because the sun’s gravitational pull is stronger on the planets that are close to it. |
| Point to the two clocks.
Point to the “T “ to show the unit. |
Observe the pink and green digital clocks.
They record the time when the planet sweeps the sectors. This time is expressed in orbital period. |
| Drag the sector to show the changes. | Let’s drag the sector slider to maximum. |
| Point to the clocks. | Notice that as we increase the area time increases. |
| Slide Number 15
Orbital period |
The Orbital period is the time taken by the celestial object to go around the orbit of another celestial object. |
| Select Saturn from the drop down list.
Point to the pink and green clock which shows the sweep time. |
Select the Saturn from the drop down list.
Observe that the sweep time for each sector in Saturn is same. |
| Slide Number 16
Assignment Select planets venus and pluto from the drop down list. Observe the difference in the velocity. Explain your observation. |
As an assignment
Select planets venus and pluto from the drop down list. Observe the difference in the velocity. Explain your observation. |
| Let us summarise | |
| Slide Number 17
Summary |
Using these Apps we have,
Demonstrated Kepler's First Law. Defined Aphelion and Perihelion distance. Calculated Aphelion and Perihelion distance. Demonstrated Kepler's Second Law. |
| Slide Number 18
|
These Apps were created by Walter Fendt and his team. |
| Slide Number 18
About Spoken Tutorial project. |
The video at the following link summarizes the Spoken Tutorial project.
Please download and watch it. |
| Slide Number 19
Spoken Tutorial workshops. |
The Spoken Tutorial Project team,
conducts workshops using spoken tutorials and gives certificates on passing online tests. For more details, please write to us. |
| Slide Number 20
Forum for specific questions: Do you have questions in THIS Spoken Tutorial? Please visit this site Choose the minute and second where you have the question. Explain your question briefly Someone from our team will answer them |
Please post your timed queries in this forum. |
| Slide Number 21
Acknowledgement |
Spoken Tutorial Project is funded by MHRD, Government of India. |
| This is Himanshi Karwanje from IIT-Bombay.
Thank you for joining. |
