Consider Earth's motion, the Earth revolves in an elliptical orbit around the Sun, which is at...
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Consider Earth's motion, the Earth revolves in an elliptical orbit around the Sun, which is at one focus of the ellipse. The position of the earth in elliptical motion is tracked based on Kepler's equation which is denoted by: M=-0.0167sin(0) where is the eccentric anomaly, and M = 54x/365 is the mean anomaly 1) Graphically, estimate all solutions of Kepler's equation (i.c., D). 2) Use Bisection method to calculate the solutions of Kepler's equation (i.e., D). Use 4, 6, and 8 iterations. 3) Find the percentage error (compared with exact) for each # of iterations from part 2. 4) Use Newton-Raphson method to calculate the solutions of Kepler's equation (i.e., D). Use 4, 6, and 8 iterations. 5) Find the percentage error (compared with exact) for each # of iterations from part 4 Consider Earth's motion, the Earth revolves in an elliptical orbit around the Sun, which is at one focus of the ellipse. The position of the earth in elliptical motion is tracked based on Kepler's equation which is denoted by: M=-0.0167sin(0) where is the eccentric anomaly, and M = 54x/365 is the mean anomaly 1) Graphically, estimate all solutions of Kepler's equation (i.c., D). 2) Use Bisection method to calculate the solutions of Kepler's equation (i.e., D). Use 4, 6, and 8 iterations. 3) Find the percentage error (compared with exact) for each # of iterations from part 2. 4) Use Newton-Raphson method to calculate the solutions of Kepler's equation (i.e., D). Use 4, 6, and 8 iterations. 5) Find the percentage error (compared with exact) for each # of iterations from part 4
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To solve Keplers equation and perform the requested tasks lets go step by step 1 Graphically estimate all solutions of Keplers equation ie D To estima... View the full answer
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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