Calculating Moon's Total Kinetic Energy

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SUMMARY

The total kinetic energy of the Moon can be calculated by considering its motion in a heliocentric frame, which includes both its velocity around the Earth and the Earth's velocity around the Sun. The kinetic energy is a scalar quantity, meaning it can be summed algebraically without vector addition. To compute the Moon's total kinetic energy, use the formula 1/2 Mv^2, where v is the resultant velocity derived from the vector sum of the Moon's velocity around the Earth and the Earth's orbital velocity around the Sun. The Moon's kinetic energy fluctuates throughout the lunar cycle, reaching its minimum at new moon and maximum at full moon.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Knowledge of orbital mechanics
  • Familiarity with vector addition
  • Basic astronomy concepts regarding the Earth-Moon system
NEXT STEPS
  • Research the formula for kinetic energy in classical mechanics
  • Learn about the Earth's orbital speed around the Sun
  • Study the Moon's orbit and its variations throughout the lunar cycle
  • Explore vector addition in the context of celestial mechanics
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Astronomy enthusiasts, physics students, and anyone interested in celestial mechanics and energy calculations related to the Earth-Moon system.

termina
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Hello there!


Do you have any idea on how one could calculate Moon total Kinetic Energy from heliocentric frame (ie, KE around the Earth with KE around the Sun)?

is this sum of KE algebrical or vectorial?
And how much is Moon's velocity around the Sun?





Thank you
 
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The Moon's speed with respect to the Sun will be the same as Earth's orbital speed. Energy is a scalar so it would add simply, no vector addition necessary.
 
Take the velocity of the Earth around the sun and add this vectorially to the velocity of the Moon around the Earth. Put the resulting v in 1/2 Mv^2 to get the kinetic energy. The Moon's total kinetic energy will vary over the course of a month, being least at new moon and greatest at full moon.
 

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