Textbook on Mathematical Astronomy

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SUMMARY

The discussion centers on the recommendation of "Astronomical Algorithms" by Jean Meeus as a comprehensive textbook for mathematical astronomy. It covers essential elliptical quantities such as a, e, i, w, N, LP, ML, MA, EA, r, and v, and explains their conversion to right ascension (RA), declination (DEC), azimuth (Azi), and elevation (Elev). While Meeus' work excels in the mathematics of planetary positions and coordinate transformations, it lacks coverage of planetary chemistry, spectral analysis, and the physical properties of celestial bodies, necessitating a supplementary textbook for those topics.

PREREQUISITES
  • Understanding of elliptical orbital elements in astronomy
  • Familiarity with coordinate systems: ecliptic and equatorial
  • Basic knowledge of celestial mechanics
  • Mathematical proficiency in transformations and algorithms
NEXT STEPS
  • Research additional textbooks on planetary chemistry and spectral analysis
  • Explore coordinate transformation techniques in astronomy
  • Study the physical properties of planets and moons
  • Learn about advanced mathematical methods in celestial mechanics
USEFUL FOR

Astronomy students, astrophysicists, and anyone interested in the mathematical foundations of celestial mechanics and planetary positions.

Philosophaie
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Does anyone know a good textbook on Astronomy?

Containing the elliptical quantities:

a,e,i,w,N,LP,ML,MA,EA,r and v

and how to convert these quantities to:

RA, DEC, Azi and Elev

plus more info about the planets and the stars.
 
Last edited:
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Meeus' "Astronomical Algorithms" has all you'd want to know and more.
 
I'd like to expand on my previous reply

The Meeus book goes into the mathematics of planetary positions and transformation of coordinates between the ecliptic and equatorial systems (and galactic at one point) in detail, along with many, many other topics of a mathematical nature. It is a great resource.

You would need a second textbook if your interests include things like planetary chemistry, spectral analysis, physical properties of planets and moons etc. Meeus doesn't cover any of this.
 

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