Length of Earth's Orbit around the Sun is 299 million km wide

[mes]

3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links

In this video, I use Kepler's third law to calculate the length of Earth's elliptical orbit to be around 299,000,000 km wide and takes about 365.25 days to complete 1 full revolution. The equation for Kepler's 3rd law shows that the square of the period of revolution is proportional to the cube of the length of the semi-major axis (half the major axis) of the ellipse. The proportionality constant only depends on the mass of the Sun and the gravitational constant. Thus, we can calculate the major axis of any planet just by knowing how long it takes to revolve around the Sun!

#math #vectors #calculus #ellipse #keplerslaws

Timestamps

• Applied Project Problem 3: Length of Earth's Orbit – 0:00
• Solution: First, convert Earth's period of 365.25 days to seconds – 0:41
• Plug in the period into Kepler's 3rd law to obtain the cube of the semi-major axis – 3:59
• The length of the major axis is twice the semi-major axis – 7:18
• Calculation check with OneNote’s built-in calculator – 8:19

---

Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

MES Links: https://mes.fm/links

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes

Email me: [email protected]

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm

Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps

Comments

[hivebuzz]

Congratulations @mes! You have completed the following achievement on the Hive blockchain And have been rewarded with New badge(s)

You have been a buzzy bee and published a post every day of the week.

_{You can view your badges on your board and compare yourself to others in the Ranking
If you no longer want to receive notifications, reply to this comment with the word STOP}

Check out our last posts:

Feedback from the June Hive Power Up Day