Planetary Positions according to JPL Data

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SUMMARY

The discussion focuses on an Excel program designed to calculate Keplerian data for planets using NASA JPL data, specifically from the JPL Horizons system. Key parameters such as Semi-Major Axis (a), Eccentricity (e), and Mean Longitude (ML) are utilized to derive additional values like Mean Anomaly (MA) and True Anomaly (v). The user identifies flaws in their logic when calculating the actual true anomaly using the equation vActual=Equ+N+w+v, suggesting that inclination (i) is not adequately considered. The user seeks input to refine their calculations and improve the program's accuracy.

PREREQUISITES
  • Understanding of Keplerian elements and their significance in orbital mechanics.
  • Familiarity with Julian Date and J2000 time systems.
  • Proficiency in using Excel for mathematical modeling and data analysis.
  • Basic knowledge of celestial mechanics and planetary motion.
NEXT STEPS
  • Research the JPL Horizons system for accurate planetary data retrieval.
  • Learn about the calculation of orbital elements and their applications in celestial mechanics.
  • Explore methods to incorporate inclination (i) into orbital calculations effectively.
  • Investigate advanced Excel functions for improved data analysis and modeling.
USEFUL FOR

Astronomers, astrophysicists, and hobbyists interested in celestial mechanics and orbital calculations will benefit from this discussion, particularly those looking to enhance their understanding of planetary positions using JPL data.

Philosophaie
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Attached is a Excel program given a Date it will susposedly give the Keplarian data for each of the Planets. It does not work. The Data is given from Nasa JPL:

http://ssd.jpl.nasa.gov/txt/p_elem_t2.txt

Julian Date and J2000 are calculated. J2000 or just J is plugged into the JPL data:

a-Semi-Major Axis
e-Eccentricity
i-inclination
ML-Mean Longitude
LP-Longitude of the Perihelion
N-Longitude of the Ascending Node

Calculated from the above are:

MA-Mean Anomaly
EA-Eccentric Anomaly
w-Argument of the Perihelion
r-Planet Radius from the Sun
v-True Anomaly
Equ-Equinox-On Mar 21 looking thru the Sun the angle it makes with the projected Perihelion

The True Anomaly gives the approximate answer for all dates but my logic is flawed if you use the equation:

vActual=Equ+N+w+v

I have worked a long time on this. Any input would be much appreciated!
 

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I gave you the wrong file. The other is too big for the Physics Forum. The point I was trying to make is that from the angle looking thru the sun at the Vernal Equinox or 3-31 added together vActual=Equ+N+w+v yields a somewhat correct answer not taking into account of the inclination, i.
 

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