Is 10 Arc Seconds Accurate Enough for Sending Objects to the Moon?

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SUMMARY

A 10 arc second accuracy is insufficient for sending objects to the Moon, as it translates to a positional error of approximately 20 kilometers at the Moon's average distance of 350,000 to 400,000 kilometers. This level of precision is roughly 1 in 20,000, which does not meet the stringent requirements for lunar missions. Accurate geocentric coordinates are critical for successful navigation and landing on the Moon.

PREREQUISITES
  • Understanding of angular measurements, specifically arc seconds
  • Familiarity with geocentric coordinates
  • Basic knowledge of lunar distances and navigation
  • Awareness of precision requirements in aerospace engineering
NEXT STEPS
  • Research the implications of angular precision in aerospace navigation
  • Explore the mathematics of converting arc seconds to linear distances
  • Learn about the accuracy requirements for lunar missions, including historical data from Apollo missions
  • Investigate modern technologies used for precise lunar landing, such as GPS and inertial navigation systems
USEFUL FOR

Aerospace engineers, navigation specialists, students of astrophysics, and anyone involved in lunar exploration or satellite technology.

Solistics
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how accurate is accurate? Say if I have geocentric coordinates of the moon is 10 arc seconds a resonable accuraccy if someone wanted to send something to the moon?
 
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An arc sec is 206265 of a radian (a useful number to learn)
So 10" is roughly 1 in 20,000
The moon is 350-400,000km away so 10" would be about 20km at the distance of the moon
 

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