I'm having trouble creating my own trig function

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SUMMARY

The discussion centers on developing a trigonometric function to model the elliptical orbit of Neptune around the sun. The user seeks guidance on formulating the equation, specifically whether to utilize sine or cosine functions. Key concepts include the elliptical nature of planetary orbits and the potential application of polar coordinates. The user expresses a desire for clarity on how to express the equation for an ellipse using trigonometric functions.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine and cosine
  • Knowledge of elliptical geometry and its equations
  • Familiarity with polar coordinates and their applications
  • Basic graphing skills for visual representation of functions
NEXT STEPS
  • Research the mathematical formulation of ellipses, focusing on the standard equation
  • Study the relationship between trigonometric functions and elliptical orbits
  • Explore polar coordinates and their conversion to Cartesian coordinates
  • Learn about graphing techniques for trigonometric functions and ellipses
USEFUL FOR

Students in mathematics or physics, educators teaching trigonometry and geometry, and anyone interested in modeling celestial mechanics through trigonometric functions.

Adriane
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I'm developing my own trigonometric function concerning a "real world" problem of my choosing. I decided to go with the orbit of Neptune around the sun. I just don't know how to develop the equation itself, like if it would be sine or cosine? I'm just lost as to where to begin. If anyone can help, I'd be extremely grateful. I can create my own graph and make my own additional problems if I just knew how to create the equation. My teacher gave us a lot of freedom on this, and I guess I'm just a little lost.
 
Physics news on Phys.org
The orbit of Neptune, like the other planets in the solar system, is an ellipse. Do you know how to express the equation for an ellipse in terms of sines and cosines? Have you studied polar coordinates yet by chance?
 

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